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BECE 1991 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
If X = {Prime numbers less than 13} and Y = {odd numbers less than 13}
(i)
List the members of X and Y
(ii)
List the members of X ∩ Y and X U Y
(b)
Three school children share some oranges as follows: Akwasi gets
Using a ruler and a pair of compasses only,
(a)
construct the triangle XYZ, in which |YZ| = 6 cm, angle XYZ = 60° and |XZ| = 9 cm. Measure |XY|
(b)
(i)
construct the mediator of YZ.
(ii)
draw a circle, centre X and radius 5 cm. Measure |YA|, where A is the point of intersection of the mediator and the circle in the triangular region XYZ
(a)
Solve the equation:
(b)
Factorize completely 2ap + aq - bq – 2bp
(c)
Given that m = -2 and n =
(i)
m2(n – 1)
(ii)
n2 -
(a)
The following table shows the distribution of votes in an election for class prefect.
| Name | Number of votes |
| Acquaye | 6 |
| Borquaye | 12 |
| Commey | 18 |
(i)
Draw a pie chart to illustrate the distribution.
(ii)
What fraction of the votes was cast for Borquaye?
(b)
The heights in cm of 10 school children are as follows:
165, 165, 155 159, 174,
154, 169, 155, 155, 150
(i)
Make a frequency table for this data.
(ii)
Use your table to find the mode and median of the distribution.