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12th May, 2025 10:30 AM
BECE

BECE 1991 - MATHEMATICS [PAPER I]

{"en":"

OBJECTIVE TEST<\/b><\/h4>

1.<\/span><\/p><\/div> 

P<\/i> = {1, 2, 3, 8, 10}, Q<\/i> = {8, 1, x<\/i>, 3, 2}. If P<\/i> = Q<\/i>, what is the value of x<\/i>?<\/p>

A. <\/div> 

1<\/p><\/div><\/div><\/div>

B. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

3<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

2.<\/span><\/p><\/div> 

If Y<\/i> = {house, tree} and V<\/i> = {cat, house, tree} which of the following is true of Y<\/i> and V<\/i>?<\/p>

A. <\/div> 

Y<\/i> = V<\/i><\/p><\/div><\/div><\/div>

B. <\/div> 

Y<\/i> ⊂ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

V<\/i> ⊂ Y<\/i><\/p><\/div><\/div><\/div>

D. <\/div> 

V<\/i> ∈ Y<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

Y<\/i> ∈ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

3.<\/span><\/p><\/div> 

The following addition is in base ten. Find the missing addend.<\/p>

<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
+<\/td>1<\/td>0<\/td>4<\/td>5<\/td><\/tr>
<\/td>*<\/td>*<\/td>*<\/td>*<\/td><\/tr>
<\/td>5<\/td>1<\/td>1<\/td>0<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

1300<\/p><\/div><\/div><\/div>

B. <\/div> 

1720<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2765<\/p><\/div><\/div><\/div>

D. <\/div> 

4065<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9500<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

4.<\/span><\/p><\/div> 

Given that 22<\/sup> x 32<\/sup> x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.<\/p>

A. <\/div> 

2<\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

252<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

5.<\/span><\/p><\/div> 

Write 4687.02 in standard form.<\/p>

A. <\/div> 

46.8702 x 103<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

46.8702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4.68702 x 105<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

4.68702 x 103<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.468702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

6.<\/span><\/p><\/div> 

Convert 11001two<\/sub> to a decimal numeral.<\/p>

A. <\/div> 

6<\/p><\/div><\/div><\/div>

B. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

14<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

50<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

7.<\/span><\/p><\/div> 

A boy spent 2<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> of his pocket money on transport and 1<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> on sweets. What fraction of his pocket money does he spend on transport and sweets?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

17<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

18<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

8.<\/span><\/p><\/div> 

The product of three numbers is 1197. Two of the numbers are 3 and 19. Find the third number.<\/p>

A. <\/div> 

21<\/p><\/div><\/div><\/div>

B. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

210<\/p><\/div><\/div><\/div>

D. <\/div> 

544<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1175<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

9.<\/span><\/p><\/div> 

Find the GCF (HCF) of 23<\/sup> × 32<\/sup> and 23<\/sup> × 34<\/sup>.<\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

72<\/p><\/div><\/div><\/div>

D. <\/div> 

81<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

648<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

10.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

Find the value of a<\/i>°<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

11.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of b<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

12.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of c<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

13.<\/span><\/p><\/div> 

Simplify 2ab<\/i>2<\/sup> × 3a<\/i>2<\/sup>b<\/i><\/p>

A. <\/div> 

5a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

36ab<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

14.<\/span><\/p><\/div> 

In the relation v<\/i> = u<\/i>+ at<\/i>, find v<\/i> when u<\/i> = 6, a<\/i> = 10 and t<\/i> = 2<\/p>

A. <\/div> 

18<\/p><\/div><\/div><\/div>

B. <\/div> 

26<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

32<\/p><\/div><\/div><\/div>

D. <\/div> 

48<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

120<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

15.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the modal mark?<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

7<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

16.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Find the median mark.<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

17.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Calculate the mean mark.<\/p>

A. <\/div> 

–54<\/p><\/div><\/div><\/div>

B. <\/div> 

5.4<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

10<\/p><\/div><\/div><\/div>

D. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

540<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

18.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the probability that a child chosen at random scored 3 marks?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

3<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

19.<\/span><\/p><\/div> 

A trader received a commission of 121<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>% on sales made in a month. His commission was ₵35,000.00. Find his total sales for the month.<\/p>

A. <\/div> 

₵36,250.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵59,750.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵245,000.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵280,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵315,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

20.<\/span><\/p><\/div> 

A map of a large town is drawn to the scale of 1 : 100,000. What is the distance in kilometres (km) represented by a line segment 4 cm along the map?<\/p>

A. <\/div> 

0.04 km<\/p><\/div><\/div><\/div>

B. <\/div> 

0.4 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4 km<\/p><\/div><\/div><\/div>

D. <\/div> 

40 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

400 km<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

21.<\/span><\/p><\/div> 

Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.<\/p>

A. <\/div> 

₵200.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵240.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵300.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵360.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵400.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

22.<\/span><\/p><\/div> 

Simplify: 2a<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> - a - b<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>.<\/p>

A. <\/div> 

a<\/i> - 3<\/p><\/div><\/div><\/div>

B. <\/div> 

a - 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

a + 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

a<\/i> + 3b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

a<\/i> - b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

23.<\/span><\/p><\/div> 

If a<\/i>6<\/sup> ÷ a<\/i>4<\/sup> = 64. Find a<\/i><\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16<\/p><\/div><\/div><\/div>

D. <\/div> 

20<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

24<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

24.<\/span><\/p><\/div> 

Find one-hundredth of 1.0756<\/p>

A. <\/div> 

107.56<\/p><\/div><\/div><\/div>

B. <\/div> 

10.756<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

0.01756<\/p><\/div><\/div><\/div>

D. <\/div> 

0.010756<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.001756<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

25.<\/span><\/p><\/div> 

What is the rule for this mapping?<\/p>

x<\/i><\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td><\/tr>
y<\/i><\/td>1<\/td>3<\/td>5<\/td>7<\/td>9<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div>

B. <\/div> 

x<\/i>→2(x<\/i> - 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

x<\/i>→2x<\/i> + 1<\/p><\/div><\/div><\/div>

D. <\/div> 

x<\/i>→2(x<\/i> + 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

26.<\/span><\/p><\/div> 

The circumference of a circular track is 440 m. Find the diameter of this track.<\/p>

[Take π = 22<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>]<\/p>

A. <\/div> 

70 m<\/p><\/div><\/div><\/div>

B. <\/div> 

140 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

280 m<\/p><\/div><\/div><\/div>

D. <\/div> 

690 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1400 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

27.<\/span><\/p><\/div> 

If r<\/b> = (<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> and s<\/b> = (<\/span><\/span>-2<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, calculate 6(r<\/b> + 2s<\/b>).<\/p>

A. <\/div> 

(<\/span><\/span>-1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

(<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

(<\/span><\/span>7<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

(<\/span><\/span>-6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

(<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

28.<\/span><\/p><\/div> 

Which of the following would you use to measure an angle?<\/p>

A. <\/div> 

Ruler<\/p><\/div><\/div><\/div>

B. <\/div> 

A pair of compasses<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

A set square<\/p><\/div><\/div><\/div>

D. <\/div> 

A protractor<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div>
<\/div><\/div><\/div>

29.<\/span><\/p><\/div> 

Express the ratio of 64 cm to 48 cm in its simplest form.<\/p>

A. <\/div> 

3 : 4<\/p><\/div><\/div><\/div>

B. <\/div> 

4 : 3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16 : 12<\/p><\/div><\/div><\/div>

D. <\/div> 

12 : 16<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

64 : 48<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

30.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

What is the scale factor of this enlargement?<\/p>

A. <\/div> 

–2<\/p><\/div><\/div><\/div>

B. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

31.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

If |PR<\/i>| = 3.6 m, what is |P<\/i>1<\/sup>R<\/i>1<\/sup>|?<\/p>

A. <\/div> 

–7.2 m<\/p><\/div><\/div><\/div>

B. <\/div> 

–1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1.2 m<\/p><\/div><\/div><\/div>

D. <\/div> 

1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

7.2 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

32.<\/span><\/p><\/div> 

Find the tangent of the angle marked y<\/i> in the diagram below.<\/p>

<\/p>

A. <\/div> 

3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

4<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

5<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

33.<\/span><\/p><\/div> 

Kojo paid ₵270,000.00 for a TV set after he had been given a discount of 10%. Find the marked price.<\/p>

A. <\/div> 

₵300,000.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵297,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵280,000.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵260,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵243,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

34.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the total number of pupils who study Government?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

35.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

How many pupils study only Government?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

36.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

How many pupils study only Economics?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

37.<\/span><\/p><\/div> 

When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.<\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

12<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16<\/p><\/div><\/div><\/div>

D. <\/div> 

24<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

32<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

38.<\/span><\/p><\/div> 

From the diagram below, calculate the bearing of point X<\/i> from Y<\/i>.<\/p>

<\/p>

A. <\/div> 

035°<\/p><\/div><\/div><\/div>

B. <\/div> 

045°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

135°<\/p><\/div><\/div><\/div>

D. <\/div> 

145°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

225°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

39.<\/span><\/p><\/div> 

If 22% of the length of a rope is 55 cm, find the full length of the rope.<\/p>

A. <\/div> 

12.1 cm<\/p><\/div><\/div><\/div>

B. <\/div> 

25 cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

121 cm<\/p><\/div><\/div><\/div>

D. <\/div> 

250 cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

2500 cm<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

40.<\/span><\/p><\/div> 

Which of these best describes the given construction?<\/p>

<\/p>

A. <\/div> 

Bisecting a line<\/p><\/div><\/div><\/div>

B. <\/div> 

Constructing the bisector of a line segment<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

Constructing the perpendicular to a line<\/p><\/div><\/div><\/div>

D. <\/div> 

Constructing a perpendicular to a given line from a point outside the line<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

Constructing a perpendicular to a given line through a point on the line<\/p><\/div><\/div><\/div><\/div><\/div><\/div>","fr":"

OBJECTIVE TEST<\/b><\/h4>

1.<\/span><\/p><\/div> 

P<\/i> = {1, 2, 3, 8, 10}, Q<\/i> = {8, 1, x<\/i>, 3, 2}. If P<\/i> = Q<\/i>, what is the value of x<\/i>?<\/p>

A. <\/div> 

1<\/p><\/div><\/div><\/div>

B. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

3<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

2.<\/span><\/p><\/div> 

If Y<\/i> = {house, tree} and V<\/i> = {cat, house, tree} which of the following is true of Y<\/i> and V<\/i>?<\/p>

A. <\/div> 

Y<\/i> = V<\/i><\/p><\/div><\/div><\/div>

B. <\/div> 

Y<\/i> ⊂ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

V<\/i> ⊂ Y<\/i><\/p><\/div><\/div><\/div>

D. <\/div> 

V<\/i> ∈ Y<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

Y<\/i> ∈ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

3.<\/span><\/p><\/div> 

The following addition is in base ten. Find the missing addend.<\/p>

<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
+<\/td>1<\/td>0<\/td>4<\/td>5<\/td><\/tr>
<\/td>*<\/td>*<\/td>*<\/td>*<\/td><\/tr>
<\/td>5<\/td>1<\/td>1<\/td>0<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

1300<\/p><\/div><\/div><\/div>

B. <\/div> 

1720<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2765<\/p><\/div><\/div><\/div>

D. <\/div> 

4065<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9500<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

4.<\/span><\/p><\/div> 

Given that 22<\/sup> x 32<\/sup> x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.<\/p>

A. <\/div> 

2<\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

252<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

5.<\/span><\/p><\/div> 

Write 4687.02 in standard form.<\/p>

A. <\/div> 

46.8702 x 103<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

46.8702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4.68702 x 105<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

4.68702 x 103<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.468702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

6.<\/span><\/p><\/div> 

Convert 11001two<\/sub> to a decimal numeral.<\/p>

A. <\/div> 

6<\/p><\/div><\/div><\/div>

B. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

14<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

50<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

7.<\/span><\/p><\/div> 

A boy spent 2<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> of his pocket money on transport and 1<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> on sweets. What fraction of his pocket money does he spend on transport and sweets?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

17<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

18<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

8.<\/span><\/p><\/div> 

The product of three numbers is 1197. Two of the numbers are 3 and 19. Find the third number.<\/p>

A. <\/div> 

21<\/p><\/div><\/div><\/div>

B. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

210<\/p><\/div><\/div><\/div>

D. <\/div> 

544<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1175<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

9.<\/span><\/p><\/div> 

Find the GCF (HCF) of 23<\/sup> × 32<\/sup> and 23<\/sup> × 34<\/sup>.<\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

72<\/p><\/div><\/div><\/div>

D. <\/div> 

81<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

648<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

10.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

Find the value of a<\/i>°<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

11.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of b<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

12.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of c<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

13.<\/span><\/p><\/div> 

Simplify 2ab<\/i>2<\/sup> × 3a<\/i>2<\/sup>b<\/i><\/p>

A. <\/div> 

5a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

36ab<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

14.<\/span><\/p><\/div> 

In the relation v<\/i> = u<\/i>+ at<\/i>, find v<\/i> when u<\/i> = 6, a<\/i> = 10 and t<\/i> = 2<\/p>

A. <\/div> 

18<\/p><\/div><\/div><\/div>

B. <\/div> 

26<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

32<\/p><\/div><\/div><\/div>

D. <\/div> 

48<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

120<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

15.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the modal mark?<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

7<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

16.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Find the median mark.<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

17.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Calculate the mean mark.<\/p>

A. <\/div> 

–54<\/p><\/div><\/div><\/div>

B. <\/div> 

5.4<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

10<\/p><\/div><\/div><\/div>

D. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

540<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

18.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the probability that a child chosen at random scored 3 marks?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

3<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

19.<\/span><\/p><\/div> 

A trader received a commission of 121<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>% on sales made in a month. His commission was ₵35,000.00. Find his total sales for the month.<\/p>

A. <\/div> 

₵36,250.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵59,750.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵245,000.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵280,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵315,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

20.<\/span><\/p><\/div> 

A map of a large town is drawn to the scale of 1 : 100,000. What is the distance in kilometres (km) represented by a line segment 4 cm along the map?<\/p>

A. <\/div> 

0.04 km<\/p><\/div><\/div><\/div>

B. <\/div> 

0.4 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4 km<\/p><\/div><\/div><\/div>

D. <\/div> 

40 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

400 km<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

21.<\/span><\/p><\/div> 

Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.<\/p>

A. <\/div> 

₵200.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵240.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵300.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵360.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵400.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

22.<\/span><\/p><\/div> 

Simplify: 2a<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> - a - b<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>.<\/p>

A. <\/div> 

a<\/i> - 3<\/p><\/div><\/div><\/div>

B. <\/div> 

a - 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

a + 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

a<\/i> + 3b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

a<\/i> - b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

23.<\/span><\/p><\/div> 

If a<\/i>6<\/sup> ÷ a<\/i>4<\/sup> = 64. Find a<\/i><\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16<\/p><\/div><\/div><\/div>

D. <\/div> 

20<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

24<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

24.<\/span><\/p><\/div> 

Find one-hundredth of 1.0756<\/p>

A. <\/div> 

107.56<\/p><\/div><\/div><\/div>

B. <\/div> 

10.756<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

0.01756<\/p><\/div><\/div><\/div>

D. <\/div> 

0.010756<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.001756<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

25.<\/span><\/p><\/div> 

What is the rule for this mapping?<\/p>

x<\/i><\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td><\/tr>
y<\/i><\/td>1<\/td>3<\/td>5<\/td>7<\/td>9<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div>

B. <\/div> 

x<\/i>→2(x<\/i> - 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

x<\/i>→2x<\/i> + 1<\/p><\/div><\/div><\/div>

D. <\/div> 

x<\/i>→2(x<\/i> + 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

26.<\/span><\/p><\/div> 

The circumference of a circular track is 440 m. Find the diameter of this track.<\/p>

[Take π = 22<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>]<\/p>

A. <\/div> 

70 m<\/p><\/div><\/div><\/div>

B. <\/div> 

140 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

280 m<\/p><\/div><\/div><\/div>

D. <\/div> 

690 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1400 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

27.<\/span><\/p><\/div> 

If r<\/b> = (<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> and s<\/b> = (<\/span><\/span>-2<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, calculate 6(r<\/b> + 2s<\/b>).<\/p>

A. <\/div> 

(<\/span><\/span>-1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

(<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

(<\/span><\/span>7<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

(<\/span><\/span>-6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

(<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

28.<\/span><\/p><\/div> 

Which of the following would you use to measure an angle?<\/p>

A. <\/div> 

Ruler<\/p><\/div><\/div><\/div>

B. <\/div> 

A pair of compasses<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

A set square<\/p><\/div><\/div><\/div>

D. <\/div> 

A protractor<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div>
<\/div><\/div><\/div>

29.<\/span><\/p><\/div> 

Express the ratio of 64 cm to 48 cm in its simplest form.<\/p>

A. <\/div> 

3 : 4<\/p><\/div><\/div><\/div>

B. <\/div> 

4 : 3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16 : 12<\/p><\/div><\/div><\/div>

D. <\/div> 

12 : 16<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

64 : 48<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

30.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

What is the scale factor of this enlargement?<\/p>

A. <\/div> 

–2<\/p><\/div><\/div><\/div>

B. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

31.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

If |PR<\/i>| = 3.6 m, what is |P<\/i>1<\/sup>R<\/i>1<\/sup>|?<\/p>

A. <\/div> 

–7.2 m<\/p><\/div><\/div><\/div>

B. <\/div> 

–1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1.2 m<\/p><\/div><\/div><\/div>

D. <\/div> 

1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

7.2 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

32.<\/span><\/p><\/div> 

Find the tangent of the angle marked y<\/i> in the diagram below.<\/p>

<\/p>

A. <\/div> 

3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

4<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

5<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

33.<\/span><\/p><\/div> 

Kojo paid ₵270,000.00 for a TV set after he had been given a discount of 10%. Find the marked price.<\/p>

A. <\/div> 

₵300,000.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵297,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵280,000.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵260,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵243,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

34.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the total number of pupils who study Government?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

35.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

How many pupils study only Government?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

36.<\/span><\/p><\/div> 

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.<\/p>

Use this information to answer the question below<\/i>.<\/p>

How many pupils study only Economics?<\/p>

A. <\/div> 

17<\/p><\/div><\/div><\/div>

B. <\/div> 

23<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

24<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

31<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

37.<\/span><\/p><\/div> 

When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.<\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

12<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16<\/p><\/div><\/div><\/div>

D. <\/div> 

24<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

32<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

38.<\/span><\/p><\/div> 

From the diagram below, calculate the bearing of point X<\/i> from Y<\/i>.<\/p>

<\/p>

A. <\/div> 

035°<\/p><\/div><\/div><\/div>

B. <\/div> 

045°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

135°<\/p><\/div><\/div><\/div>

D. <\/div> 

145°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

225°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

39.<\/span><\/p><\/div> 

If 22% of the length of a rope is 55 cm, find the full length of the rope.<\/p>

A. <\/div> 

12.1 cm<\/p><\/div><\/div><\/div>

B. <\/div> 

25 cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

121 cm<\/p><\/div><\/div><\/div>

D. <\/div> 

250 cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

2500 cm<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

40.<\/span><\/p><\/div> 

Which of these best describes the given construction?<\/p>

<\/p>

A. <\/div> 

Bisecting a line<\/p><\/div><\/div><\/div>

B. <\/div> 

Constructing the bisector of a line segment<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

Constructing the perpendicular to a line<\/p><\/div><\/div><\/div>

D. <\/div> 

Constructing a perpendicular to a given line from a point outside the line<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

Constructing a perpendicular to a given line through a point on the line<\/p><\/div><\/div><\/div><\/div><\/div><\/div>","nl":"

OBJECTIVE TEST<\/b><\/h4>

1.<\/span><\/p><\/div> 

P<\/i> = {1, 2, 3, 8, 10}, Q<\/i> = {8, 1, x<\/i>, 3, 2}. If P<\/i> = Q<\/i>, what is the value of x<\/i>?<\/p>

A. <\/div> 

1<\/p><\/div><\/div><\/div>

B. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

3<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

2.<\/span><\/p><\/div> 

If Y<\/i> = {house, tree} and V<\/i> = {cat, house, tree} which of the following is true of Y<\/i> and V<\/i>?<\/p>

A. <\/div> 

Y<\/i> = V<\/i><\/p><\/div><\/div><\/div>

B. <\/div> 

Y<\/i> ⊂ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

V<\/i> ⊂ Y<\/i><\/p><\/div><\/div><\/div>

D. <\/div> 

V<\/i> ∈ Y<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

Y<\/i> ∈ V<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

3.<\/span><\/p><\/div> 

The following addition is in base ten. Find the missing addend.<\/p>

<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
+<\/td>1<\/td>0<\/td>4<\/td>5<\/td><\/tr>
<\/td>*<\/td>*<\/td>*<\/td>*<\/td><\/tr>
<\/td>5<\/td>1<\/td>1<\/td>0<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

1300<\/p><\/div><\/div><\/div>

B. <\/div> 

1720<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2765<\/p><\/div><\/div><\/div>

D. <\/div> 

4065<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9500<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

4.<\/span><\/p><\/div> 

Given that 22<\/sup> x 32<\/sup> x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.<\/p>

A. <\/div> 

2<\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

252<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

5.<\/span><\/p><\/div> 

Write 4687.02 in standard form.<\/p>

A. <\/div> 

46.8702 x 103<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

46.8702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4.68702 x 105<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

4.68702 x 103<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.468702 x 104<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

6.<\/span><\/p><\/div> 

Convert 11001two<\/sub> to a decimal numeral.<\/p>

A. <\/div> 

6<\/p><\/div><\/div><\/div>

B. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

14<\/p><\/div><\/div><\/div>

D. <\/div> 

25<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

50<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

7.<\/span><\/p><\/div> 

A boy spent 2<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> of his pocket money on transport and 1<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> on sweets. What fraction of his pocket money does he spend on transport and sweets?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

17<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

18<\/span><\/span><\/span>35<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

8.<\/span><\/p><\/div> 

The product of three numbers is 1197. Two of the numbers are 3 and 19. Find the third number.<\/p>

A. <\/div> 

21<\/p><\/div><\/div><\/div>

B. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

210<\/p><\/div><\/div><\/div>

D. <\/div> 

544<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1175<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

9.<\/span><\/p><\/div> 

Find the GCF (HCF) of 23<\/sup> × 32<\/sup> and 23<\/sup> × 34<\/sup>.<\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

72<\/p><\/div><\/div><\/div>

D. <\/div> 

81<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

648<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

10.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

Find the value of a<\/i>°<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

11.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of b<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

12.<\/span><\/p><\/div> 

Use the diagram below to answer the question below<\/i>.<\/p>

<\/p>

What is the value of c<\/i>°?<\/p>

A. <\/div> 

68°<\/p><\/div><\/div><\/div>

B. <\/div> 

75°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

105°<\/p><\/div><\/div><\/div>

D. <\/div> 

112°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

124°<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

13.<\/span><\/p><\/div> 

Simplify 2ab<\/i>2<\/sup> × 3a<\/i>2<\/sup>b<\/i><\/p>

A. <\/div> 

5a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

B. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6a<\/i>3<\/sup>b<\/i>3<\/sup><\/p><\/div><\/div><\/div>

D. <\/div> 

5a<\/i>2<\/sup>b<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

36ab<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

14.<\/span><\/p><\/div> 

In the relation v<\/i> = u<\/i>+ at<\/i>, find v<\/i> when u<\/i> = 6, a<\/i> = 10 and t<\/i> = 2<\/p>

A. <\/div> 

18<\/p><\/div><\/div><\/div>

B. <\/div> 

26<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

32<\/p><\/div><\/div><\/div>

D. <\/div> 

48<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

120<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

15.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the modal mark?<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

7<\/p><\/div><\/div><\/div>

D. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

9<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

16.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Find the median mark.<\/p>

A. <\/div> 

3<\/p><\/div><\/div><\/div>

B. <\/div> 

5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

6<\/p><\/div><\/div><\/div>

D. <\/div> 

7<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

8<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

17.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

Calculate the mean mark.<\/p>

A. <\/div> 

–54<\/p><\/div><\/div><\/div>

B. <\/div> 

5.4<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

10<\/p><\/div><\/div><\/div>

D. <\/div> 

54<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

540<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

18.<\/span><\/p><\/div> 

The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.<\/p>

Use this information to answer the question below<\/i>.<\/p>

What is the probability that a child chosen at random scored 3 marks?<\/p>

A. <\/div> 

2<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>54<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

2<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

3<\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

19.<\/span><\/p><\/div> 

A trader received a commission of 121<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>% on sales made in a month. His commission was ₵35,000.00. Find his total sales for the month.<\/p>

A. <\/div> 

₵36,250.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵59,750.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵245,000.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵280,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵315,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

20.<\/span><\/p><\/div> 

A map of a large town is drawn to the scale of 1 : 100,000. What is the distance in kilometres (km) represented by a line segment 4 cm along the map?<\/p>

A. <\/div> 

0.04 km<\/p><\/div><\/div><\/div>

B. <\/div> 

0.4 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4 km<\/p><\/div><\/div><\/div>

D. <\/div> 

40 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

400 km<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

21.<\/span><\/p><\/div> 

Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.<\/p>

A. <\/div> 

₵200.00<\/p><\/div><\/div><\/div>

B. <\/div> 

₵240.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

₵300.00<\/p><\/div><\/div><\/div>

D. <\/div> 

₵360.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

₵400.00<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

22.<\/span><\/p><\/div> 

Simplify: 2a<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> - a - b<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>.<\/p>

A. <\/div> 

a<\/i> - 3<\/p><\/div><\/div><\/div>

B. <\/div> 

a - 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

a + 3b<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

a<\/i> + 3b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

a<\/i> - b<\/i><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

23.<\/span><\/p><\/div> 

If a<\/i>6<\/sup> ÷ a<\/i>4<\/sup> = 64. Find a<\/i><\/p>

A. <\/div> 

8<\/p><\/div><\/div><\/div>

B. <\/div> 

10<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16<\/p><\/div><\/div><\/div>

D. <\/div> 

20<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

24<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

24.<\/span><\/p><\/div> 

Find one-hundredth of 1.0756<\/p>

A. <\/div> 

107.56<\/p><\/div><\/div><\/div>

B. <\/div> 

10.756<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

0.01756<\/p><\/div><\/div><\/div>

D. <\/div> 

0.010756<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

0.001756<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

25.<\/span><\/p><\/div> 

What is the rule for this mapping?<\/p>

x<\/i><\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td>↓<\/td><\/tr>
y<\/i><\/td>1<\/td>3<\/td>5<\/td>7<\/td>9<\/td><\/tr><\/tbody><\/table>
A. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div>

B. <\/div> 

x<\/i>→2(x<\/i> - 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

x<\/i>→2x<\/i> + 1<\/p><\/div><\/div><\/div>

D. <\/div> 

x<\/i>→2(x<\/i> + 1)<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

x<\/i>→2x<\/i> - 1<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

26.<\/span><\/p><\/div> 

The circumference of a circular track is 440 m. Find the diameter of this track.<\/p>

[Take π = 22<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>]<\/p>

A. <\/div> 

70 m<\/p><\/div><\/div><\/div>

B. <\/div> 

140 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

280 m<\/p><\/div><\/div><\/div>

D. <\/div> 

690 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

1400 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

27.<\/span><\/p><\/div> 

If r<\/b> = (<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> and s<\/b> = (<\/span><\/span>-2<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, calculate 6(r<\/b> + 2s<\/b>).<\/p>

A. <\/div> 

(<\/span><\/span>-1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

(<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

(<\/span><\/span>7<\/span><\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

(<\/span><\/span>-6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

(<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>18<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

28.<\/span><\/p><\/div> 

Which of the following would you use to measure an angle?<\/p>

A. <\/div> 

Ruler<\/p><\/div><\/div><\/div>

B. <\/div> 

A pair of compasses<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

A set square<\/p><\/div><\/div><\/div>

D. <\/div> 

A protractor<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div>
<\/div><\/div><\/div>

29.<\/span><\/p><\/div> 

Express the ratio of 64 cm to 48 cm in its simplest form.<\/p>

A. <\/div> 

3 : 4<\/p><\/div><\/div><\/div>

B. <\/div> 

4 : 3<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

16 : 12<\/p><\/div><\/div><\/div>

D. <\/div> 

12 : 16<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

64 : 48<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

30.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

What is the scale factor of this enlargement?<\/p>

A. <\/div> 

–2<\/p><\/div><\/div><\/div>

B. <\/div> 

1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

2<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

3<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

31.<\/span><\/p><\/div> 

In the diagram, P<\/i>→P<\/i>1<\/sup>, Q<\/i>→Q<\/i>1<\/sup>, R<\/i>→R<\/i>1<\/sup>, where P<\/i>1<\/sup>Q<\/i>1<\/sup>R<\/i>1<\/sup> is an enlargement.<\/p>

<\/p>

If |PR<\/i>| = 3.6 m, what is |P<\/i>1<\/sup>R<\/i>1<\/sup>|?<\/p>

A. <\/div> 

–7.2 m<\/p><\/div><\/div><\/div>

B. <\/div> 

–1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

1.2 m<\/p><\/div><\/div><\/div>

D. <\/div> 

1.8 m<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/div> 

7.2 m<\/p><\/div><\/div><\/div><\/div>

<\/div><\/div><\/div>

32.<\/span><\/p><\/div> 

Find the tangent of the angle marked y<\/i> in the diagram below.<\/p>

<\/p>

A. <\/div> 

3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/div> 

3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/div> 

4<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/div> 

4<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>

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