user TeacherDora Admin
12th May, 2025 11:37 AM
BECE

BECE 1993 - MATHEMATICS [PAPER I]

{"en":"

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

1.<\/span><\/p><\/div> 

Expand (2a<\/i> + b<\/i>) (a<\/i> + 2b<\/i>)<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

2a<\/i>2<\/sup> + 2a<\/i> + 4ab<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

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

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

2.<\/span><\/p><\/div> 

Find the missing number in the following binary operation:<\/p>

<\/td>1<\/td>1<\/td>0<\/td>0<\/td>1<\/td>1<\/td>0<\/td><\/tr>
-<\/td>*<\/td>*<\/td>*<\/td>*<\/td>*<\/td>*<\/td>*<\/td><\/tr>
<\/td><\/td>1<\/td>1<\/td>1<\/td>0<\/td>1<\/td>1<\/td><\/tr><\/tbody><\/table>
A. <\/span><\/div> 

111011<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

101001<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

100011<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

101110<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

101011<\/p><\/div><\/div><\/div><\/div>

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

3.<\/span><\/p><\/div> 

If x<\/i> = {1, 3, 5, 7, 9, 11, 13, 15}, find the truth set of x<\/i> – 3 ≥ 10.<\/p>

A. <\/span><\/div> 

{15}<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

{13,15}<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

{11,13,15}<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

{9,11,13,15}<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

{7,9,11,13,15}<\/p><\/div><\/div><\/div><\/div>

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

4.<\/span><\/p><\/div> 

Which of these has the least number of lines of symmetry?<\/p>

A. <\/span><\/div> 

An equilateral triangle<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

A rectangle<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

A circle<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

An isosceles triangle<\/p><\/div><\/div><\/div><\/div>

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

5.<\/span><\/p><\/div> 

Find 21<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>% of ₵2,000.00<\/p>

A. <\/span><\/div> 

₵40.00<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

₵50.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

₵100.00<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

₵800.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

₵5,000.00<\/p><\/div><\/div><\/div><\/div>

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

6.<\/span><\/p><\/div> 

Find the highest common factor of 18, 36 and 120.<\/p>

A. <\/span><\/div> 

22<\/sup> × 33<\/sup> × 5<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

2 × 3 × 5<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

2 × 3<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

23<\/sup> × 22<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

32<\/sup> × 22<\/sup><\/p><\/div><\/div><\/div><\/div>

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

7.<\/span><\/p><\/div> 

Arrange the fractions 3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 2<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> in ascending order.<\/p>

A. <\/span><\/div> 

2<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 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. <\/span><\/div> 

3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 2<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 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><\/div>

<\/div>
C. <\/span><\/div> 

3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 2<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 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>

D. <\/span><\/div> 

3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 2<\/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. <\/span><\/div> 

3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, 2<\/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><\/div><\/div>

8.<\/span><\/p><\/div> 

Make b<\/i> the subject of the relation 1<\/span><\/span><\/span>a<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> = 1<\/span><\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> + c<\/i><\/p>

A. <\/span><\/div> 

b<\/i> = ac - 1<\/span><\/span><\/span>c<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

b<\/i> = a<\/span><\/span><\/span>a + ac<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

b<\/i> = c<\/span><\/span><\/span>1 - ac<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

b<\/i> = a<\/span><\/span><\/span>1 - ac<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

b<\/i> = 1 - ac<\/span><\/span><\/span>a<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

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

9.<\/span><\/p><\/div> 

A man has three children whose ages are 9 years, 12 years and 24 years. Find the ratio of their ages.<\/p>

A. <\/span><\/div> 

1 : 2 : 3<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

1 : 2 : 4<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

2 : 3 : 6<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

3 : 4 : 8<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

3 : 6 : 8<\/p><\/div><\/div><\/div><\/div>

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

10.<\/span><\/p><\/div> 

Ten students in Kwamekrom JSS took 9 days to weed the school compound. How long would 15 students take to weed the compound if they worked at the same rate?<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

131<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> days<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

11.<\/span><\/p><\/div> 

Which of the following inequalities is \/ are true<\/b>?<\/p>

I:  5<\/span><\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> > 3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>      II:  3<\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> > 3<\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>      III:  3<\/span><\/span><\/span>8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> > 1<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>.<\/p>

A. <\/span><\/div> 

I only<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

II only<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

III only<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

I and II only<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

I and III only<\/p><\/div><\/div><\/div><\/div>

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

12.<\/span><\/p><\/div> 

Find the image of P<\/i> in the mapping below:<\/p>

1<\/td>2<\/td>3<\/td>P<\/i><\/td><\/tr>
↓<\/td>↓<\/td>↓<\/td>↓<\/td><\/tr>
3<\/td>5<\/td>7<\/td>?<\/td><\/tr><\/tbody><\/table>

A<\/p>

A. <\/span><\/div> 

P<\/i>2<\/sup> + 2<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

P<\/i>2<\/sup> + 1<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

2P<\/i> + 1<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

P<\/i> + 2<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

P<\/i>2<\/sup> - 2<\/p><\/div><\/div><\/div><\/div>

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

13.<\/span><\/p><\/div> 

A car travelled a distance of 50 km in an hour. What distance did it travel in 30 minutes at the same speed?<\/p>

A. <\/span><\/div> 

1,500 km<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

100 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

80 km<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

14.<\/span><\/p><\/div> 

In an enlargement, the area of the object was multiplied by 144 to get the area of the image. Find the scale factor of the enlargement.<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

36<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

144<\/p><\/div><\/div><\/div><\/div>

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

15.<\/span><\/p><\/div> 

Mr. Yevu saved ₵2,500.00 at a simple interest rate of 25% per annum for 4 years. Calculate the interest he earned on his savings.<\/p>

A. <\/span><\/div> 

₵625.00<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

₵2,500.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

₵3,125.00<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

₵5,000.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

₵10,000.00<\/p><\/div><\/div><\/div><\/div>

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

16.<\/span><\/p><\/div> 

The table below gives the number of goals scored by a football team in a league season:<\/p>

Number of goals scored in a match<\/td>0<\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
Frequency<\/td>1<\/td>7<\/td>6<\/td>4<\/td>1<\/td>1<\/td><\/tr><\/tbody><\/table>

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

Find the total number of goals scored by the team.<\/p>

A. <\/span><\/div> 

41<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

19<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

15<\/p><\/div><\/div><\/div><\/div>

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

17.<\/span><\/p><\/div> 

The table below gives the number of goals scored by a football team in a league season:<\/p>

Number of goals scored in a match<\/td>0<\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
Frequency<\/td>1<\/td>7<\/td>6<\/td>4<\/td>1<\/td>1<\/td><\/tr><\/tbody><\/table>

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

What is the mean number of goals scored by the team?<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

18.<\/span><\/p><\/div> 

The table below gives the number of goals scored by a football team in a league season:<\/p>

Number of goals scored in a match<\/td>0<\/td>1<\/td>2<\/td>3<\/td>4<\/td>5<\/td><\/tr>
Frequency<\/td>1<\/td>7<\/td>6<\/td>4<\/td>1<\/td>1<\/td><\/tr><\/tbody><\/table>

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

What is the total number of matches played in the league season?<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

19<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

19.<\/span><\/p><\/div> 

The probability of obtaining a head when a coin is tossed is 1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>. What is the probability of obtaining a tail?<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

2<\/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. <\/span><\/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. <\/span><\/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>
E. <\/span><\/div> 

0<\/p><\/div><\/div><\/div><\/div>

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

20.<\/span><\/p><\/div> 

Given that a<\/b> = (<\/span><\/span>-2<\/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> and b<\/b> = (<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>-5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, find a<\/b> + 2b<\/b>.<\/p>

A. <\/span><\/div> 

(<\/span><\/span>-2<\/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. <\/span><\/div> 

(<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>13<\/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. <\/span><\/div> 

(<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>-2<\/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. <\/span><\/div> 

(<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>13<\/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. <\/span><\/div> 

(<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>-7<\/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><\/div><\/div>

21.<\/span><\/p><\/div> 

Find in base ten the value of 4 in 143five<\/sub>.<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

22.<\/span><\/p><\/div> 

If the interior angle of a regular polygon is 120°, how many sides does it have?<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

23.<\/span><\/p><\/div> 

Simplify (<\/span><\/span>3<\/span>1<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span>7<\/span>)<\/span><\/span>÷<\/span>(<\/span><\/span>4<\/span>1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>−<\/span>3<\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p>

A. <\/span><\/div> 

67<\/span><\/span><\/span>8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

77<\/span><\/span><\/span>8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

25.<\/span><\/p><\/div> 

Find the solution set of n<\/i> - 2<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> > 1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> - n<\/i>.<\/p>

A. <\/span><\/div> 

{n<\/i>:n<\/i> > -1}<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

{n<\/i>:n<\/i> = 0}<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

{n<\/i>:n<\/i> > 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>

D. <\/span><\/div> 

{n<\/i>:n<\/i> > 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><\/div>

<\/div>
E. <\/span><\/div> 

{n<\/i>:n<\/i> > 1}<\/p><\/div><\/div><\/div><\/div>

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

25.<\/span><\/p><\/div> 

In the diagram below, |AE<\/i>| = |ED<\/i>| = |DC<\/i>| = |CE<\/i>|.<\/p>

<\/p>

Calculate the size of the angle marked x<\/i>.<\/p>

A. <\/span><\/div> 

150°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

120°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

90°<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

60°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

30°<\/p><\/div><\/div><\/div><\/div>

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

26.<\/span><\/p><\/div> 

Five times a number is four more than the number. Find the number.<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/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><\/div>

<\/div>
E. <\/span><\/div> 

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

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

27.<\/span><\/p><\/div> 

A basket contains 450 oranges, if each orange costs ₵15.00, find the total cost of the oranges.<\/p>

A. <\/span><\/div> 

₵30.00<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

₵465.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

₵435.00<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

₵675.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

₵6,750.00<\/p><\/div><\/div><\/div><\/div>

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

28.<\/span><\/p><\/div> 

A bottle of soft drink costs ₵200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.<\/p>

A. <\/span><\/div> 

₵96.00<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

₵296.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

₵400.00<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

₵4,704.00<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

₵4,800.00<\/p><\/div><\/div><\/div><\/div>

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

29.<\/span><\/p><\/div> 

If 9<\/span><\/span><\/span>21<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> is equivalent to 1 + x<\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span>, find the value of x<\/i>.<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

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

<\/div>
E. <\/span><\/div> 

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

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

30.<\/span><\/p><\/div> 

Write 39.975 km correct to three significant figures.<\/p>

A. <\/span><\/div> 

39 km<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

39.975<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

49 km<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

40.0 km<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

40.9 km<\/p><\/div><\/div><\/div><\/div>

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

31.<\/span><\/p><\/div> 

Find x<\/i>, if 1<\/span><\/span><\/span>x<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> + 1<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span> = 1<\/p>

A. <\/span><\/div> 

-3<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

-2<\/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. <\/span><\/div> 

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

D. <\/span><\/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>
E. <\/span><\/div> 

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

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

32.<\/span><\/p><\/div> 

The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?<\/p>

A. <\/span><\/div> 

035°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

055°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

125<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

235°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

305°<\/p><\/div><\/div><\/div><\/div>

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

33.<\/span><\/p><\/div> 

<\/p>

The diagram above shows the construction of :<\/p>

A. <\/span><\/div> 

the perpendicular bisector of the line<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

an angle of 45° at the point A<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

an angle of 45° at the point B<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

an angle of 90° at the point O<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

an angle of 90° at the point B<\/p><\/div><\/div><\/div><\/div>

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

34.<\/span><\/p><\/div> 

The dimensions of the rectangle are given in base two. Find its perimeter.<\/p>

<\/p>

A. <\/span><\/div> 

100two<\/sub> cm<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

101two<\/sub> cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

110two<\/sub> cm<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

1001two<\/sub> cm<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

1010two<\/sub> cm<\/p><\/div><\/div><\/div><\/div>

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

35.<\/span><\/p><\/div> 

<\/p>

The area of circle, centre O<\/i>, is 120 cm2<\/sup>. Angle AOB<\/i> is 60°. Find the area of sector AOB<\/i>.<\/p>

A. <\/span><\/div> 

2 cm2<\/sup><\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

3 cm2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

6 cm2<\/sup><\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

20 cm2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

60 cm2<\/sup><\/p><\/div><\/div><\/div><\/div>

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

36.<\/span><\/p><\/div> 

In the diagram, ABCD<\/i> is a parallelogram; BC<\/i> and AF<\/i> are straight lines. Angle ABC<\/i> = 110° and angle DEF<\/i> = 40°. Find the angle marked θ.<\/p>

<\/p>

A. <\/span><\/div> 

30°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

40°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

50°<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

70°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

110°<\/p><\/div><\/div><\/div><\/div>

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

37.<\/span><\/p><\/div> 

In the diagram below AC<\/i> \/\/ DF<\/i>. Angle CBT<\/i> is 40° and angle DET<\/i> is 140°<\/p>

<\/p>

A. <\/span><\/div> 

320°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

280°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

220°<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

100°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

80°<\/p><\/div><\/div><\/div><\/div>

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

38.<\/span><\/p><\/div> 

In the diagram below, the angle of elevation of K<\/i> from M<\/i> is<\/p>

<\/p>

A. <\/span><\/div> 

17°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

73°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

90°<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

107°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

163°<\/p><\/div><\/div><\/div><\/div>

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

39.<\/span><\/p><\/div> 

In the diagram below, ACD<\/i> is an isosceles triangle in which |AD<\/i>| = |AC<\/i>| and DC<\/i> is parallel to BE<\/i>, find the value of the angle marked x<\/i>.<\/p>

<\/p>

A. <\/span><\/div> 

55°<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

62.5°<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

110°<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

117.5°<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

125°<\/p><\/div><\/div><\/div><\/div>

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

40.<\/span><\/p><\/div> 

Three girls Ama, Adjoa and Abena measured the length of the sides of 3 right-angled triangles as follows:<\/p>

Ama's measurements were 80 mm, 40 mm, 50 mm.<\/p>

Adjoa's measurements were 50 mm, 120 mm, 130 mm.<\/p>

Abena's measurements were 20 mm, 30 mm and 40 mm.<\/p>

Whose measurement(s) was \/ were correct?<\/p>

A. <\/span><\/div> 

Ama's only<\/p><\/div><\/div><\/div>

B. <\/span><\/div> 

Abena's and Ama's<\/p><\/div><\/div><\/div><\/div>

<\/div>
C. <\/span><\/div> 

Adjoa's and Abena's<\/p><\/div><\/div><\/div>

D. <\/span><\/div> 

Ama's and Adjoa's only<\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

Adjoa's only<\/p><\/div><\/div><\/div><\/div><\/div><\/div>","fr":"

OBJECTIVE TEST<\/h4>

1.<\/span><\/p><\/div> 

Expand (2a<\/i> + b<\/i>) (a<\/i> + 2b<\/i>)<\/p>

A. <\/span><\/div> 

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

B. <\/span><\/div> 

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

<\/div>
C. <\/span><\/div> 

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

D. <\/span><\/div> 

2a<\/i>2<\/sup> + 2a<\/i> + 4ab<\/i>2<\/sup><\/p><\/div><\/div><\/div><\/div>

<\/div>
E. <\/span><\/div> 

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

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