A. {2, 3, 5}
B. {2, 6, 10}
C. {3, 5, 15}
D. {3, 6, 15}

2. Given that set P = {m, n, o, p}, find the number of subsets of P.

A. 4
B. 8
C. 10
D. 16

3. If M = {multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M ∪ N

A. {12, 16, 20}
B. {14, 18, 22}
C. {12, 14, 16, 18, 22}
D. {12, 14, 16, 18, 20, 22, 24}

4. What is the place value of 7 in 24.376 ?

A. Unit
B. Ten
C. Tenth
D. Hundredth

5. Find the Highest Common Factor of 24, 42 and 72

A. 4
B. 6
C. 7
D. 12

6. Express as a number in base 10

A. 25
B. 27
C. 32
D. 35

7. If p × q × r = 1197, and p = 19, q = 3, find r

A. 21
B. 49
C. 57
D. 61

8. How many integers are within the interval – 5 < x < 7 ? A. 10
B. 11
C. 12
D. 13

9. Divide 1.612 by 0.4

A. 4.3
B. 4.03
C. 0.403
D. 0.43

10. Arrange the following fractions in ascending order: 5/8, 11/20, 7/10

A. 5/8, 11/20, 7/10
B. 7/10, 5/8, 11/20
C. 11/20, 5/8, 7/10
D. 5/8, 7/10, 11/20

11. Abena spent 1/5 of her money on sweets, 4/7 on provisions and the rest on gari. What fraction of her money did she spend on gari?

A. 27/35
B. 13/35
C. 8/35
D. 5/35

12. If 5 boys took 14 days to cultivate a piece of land, how long will it take 7 boys working at the same rate to cultivate the land ?

A. 14 days
B. 12 days
C. 10 days
D. 8 days

13. A man invested GHC 800.00 in a bank at a simple interest rate of 5% per annum. Find his total amount in the bank at the end of one year.

A. GHC 840.00
B. GHC 860.00
C. GHC 900.00
D. GHC 960.00

14. John sold a car for GHC 60,000.00 and made a profit of 20%. What is the cost price of the car?

A. GHC 48,000.00
B. GHC 50,000.00
C. GHC 72,000.00
D. GHC132,000.00

15. What is the value of x if 10x = 1000?

A. 1
B. 2
C. 3
D. 4

16. Express 625.13 in standard form

17. Find the median of the numbers 17, 12, 15, 16, 8, 18, 13 and 14

A. 8
B. 12
C. 14.5
D. 15.5

18. The ages in years of 10 children at a party are 2, 3, 3, 3, 4, 4, 5, 5, 5 and 6. If a child is chosen at random, what is the probability that he / she is not less than 5 years old ?

A. 2/3
B. 2/5
C. 3/10
D. 1/2

19. Expand (2x + y) (2x – y)

20. Find the value of n, if 25.003 = (2 × 10) + (5 × 1) + (3 × n)

A. 0.001
B. 0.011
C. 0.01
D. 0.1

21. Evaluate when m = 2.

A. 12
B. 18
C. 20
D. 24

22. A wrist watch is priced GHC 2,000.00. A shopkeeper allows a discount of 2% on the cost price. Find the discount on 20 of such wrist watches.

A. GHC 500.00
B. GHC 600.00
C. GHC 800.00
D. GHC 1,000.00

23. Find the value of m, if 4(m + 4) = – 8.

A. – 6
B. – 2
C. 2
D. 6

24. Find the rule for the following mapping

A. y→x+2
B. y→2x
C. y→x2
D. y→2x+2

25. How many vertices has a cuboid?

A. 6
B. 7
C. 8
D. 14

26. The circumference of a circle is 440 m. Find the area of the circle. [Take π = 22/7]

A. 14,400 m2
B. 15,400 m2
C. 16,400 m2
D. 18,000 m2

27. What name is given to a triangle which has all its sides equal?

A. Isosceles triangle
B. Scalene triangle
C. Equilateral triangle
D. Right-angle triangle

28. At eight o’clock, which of the following is the angle between the hour and the minute hands of the clock?

A. 150°
B. 120°
C. 90°
D. 60°

29. A rectangular field 50 m wide and y m long requires 260 m of fencing. Find y.

A. 15 m
B. 40 m
C. 80 m
D. 105 m

30. Which of the following best describes the statement: ‘The locus of a point which moves so that its distance from two fixed points are always equal’?

A. Bisector of an angle
B. Perpendicular bisector
C. Circle
D. Two parallel lines

31. The point K (1, 5) is rotated through 90° anti-clockwise about the origin. Find the coordinates of the image of K.

A. (5, -1)
B. (-5, 1)
C. (-1, 5)
D. (1, -5)

32. Kwame is facing west. Through how many degrees should he turn anti-clockwise to face north?

A. 90°
B. 180°
C. 270°
D. 360°

33. Given that vectors , find 2v – u

A.
B.
C.
D.

34.

What is the name of the figure above?

A. Cuboid
B. Kite
C. Triangle
D. Pyramid

Use the magic square above to answer questions 35 to 37

35. Find the value of F
A. 14
B. 15
C. 18
D. 23

36. Find the value of E.

A. 14
B. 15
C. 18
D. 23

37. Evaluate E + G

A. 29
B. 30
C. 33
D. 38

38. The hypotenuse and a side of a right-angled triangle are 13 cm and 5 cm respectively. Find the length of the third side.

A. 8 cm
B. 9 cm
C. 12 cm
D. 17 cm

39. Find the missing number in the sequence below:
11, 16, 22, 29, __, 46, 56

A. 30
B. 36
C. 37
D. 39

40. A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?

A. 1:200
B. 1:250
C. 1:400
D. 1:500

1. (a) Find the difference between the product of 2.5 and 7.5 and the sum of 2.75 and 9.55.

(b) Solve

(c) A container is 24 m long, 9 m wide and 8 m high. How many books can it hold if each book is 20 cm long, 16 cm wide and 6 cm thick.

2. (a) In a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test,
(i) how many questions did she answer correctly out of the first 40 questions?
(ii) how many questions should she answer correctly out of the 90 questions ?
(iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?

(b) Three interior angles of a pentagon are 100°, 120° and 108°. Find the size of each of the remaining two interior angles, if one of them is three times the other.

*** QuickLaTeX cannot compile formula:
 =	75\text{%  	of  first  40 questions}
=	\frac{75}{100}\times40	
=	\frac{75\times4}{10}
=	30 \ \ questions 

*** Error message:
File ended while scanning use of \text@.
Emergency stop.

*** QuickLaTeX cannot compile formula:
 =	80 \text{ % x 90 questions } 
=	\frac{80}{100}\times90
=	8 × 9 \ 
=	72 \  questions \  correctly

*** Error message:
File ended while scanning use of \text@.
Emergency stop.

3. (a) Given that vectors

(i) q if q – p = ;

(ii) the magnitude of the vector q – p

(b)

(c) In the diagram |AB| = |AC|, angle ADC = 30° and angle ACD = 7x – 25°. Find
the value of x;
(ii) angle DAC;
(iii) angle BAD.

4. (a) The Value Added Tax (VAT) paid by a man on a deep freezer was GHC 90.00. If VAT was charged at 15%,
what was the price of the deep freezer?
How much did the man pay including VAT?
(b) The average of the numbers 5, 7, 2, 6, x, (x+1), 7 and 4 is 5. Find the value of x.
(c) Simplify:

*** QuickLaTeX cannot compile formula:
\frac{100%}{15%}\times GHc\ 90  

*** Error message:
File ended while scanning use of \frac .
Emergency stop.

5. (a) A cylinder which has a height of 90 cm and diameter 14 cm is closed at both ends.
Find:
(i) its total surface area;
(ii) the volume of the cylinder
[Take π = 22/7]
(b) (i) Using a ruler and a pair of compasses only, construct triangle PQR such that
|PQ| = 8cm, angle PQR = 120° and |QR| = 6 cm.
(ii) Measure:
(α) |PR|;
(β) angle QPR

6. The table shows the distribution of grades of candidates in an examination.

(a) Using a graph sheet, draw a bar chart for the distribution
(b) If all candidates who obtained grades above grade 3 were awarded credit, find the probability that a candidate selected at random obtained credit.
(c) Calculate, correct to the nearest whole number, the mean grade of the candidates.

JUNE 2015 (Second Sitting)
MATHEMATICS 2
ESSAY
1 hour

1. (a) In a class of 70 students, 40 belong to the Red Cross Society, 27 belong to the Girls’ Guide Society and 12 belong to both the Red Cross Society and the Girls’ Guide Society. The remaining students do not belong to any of the two societies.
Illustrate the information on a Venn diagram
How many students belong to the Red Cross Society only?
How many students do not belong to any of the two societies?

(b) A farmer uses 1/3 of his land to plant cassava, 2/5 of the remaining land to plant maize and the rest vegetables. If vegetables cover an area of 10 acres, what is the total area of the farmer’s land.

2. (a) Solve for x, if

(b) At a rally attended by 520 people, 30% were Fantes, 25% Ewes, 15% Nzemas, 20% Gas and the rest Gonjas
How many Gonjas were at the rally?
How many more Fantes than Nzemas were at the rally ?
Draw a pie chart to illustrate the information.

3. (a) Mr. Mensah’s farm is 20 km from his house. He uses his car to travel y km of the distance from his house and then walks hours at the rate of 3 km per hour to get to his farm. Find y

(b) The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8 km and the width is 5 km, calculate the area of the square field.

(c) Find the gradient of the line which passes through the points.
M (2, -1) and K (-3, 6)

4. (a) Using a ruler and a pair of compasses only, construct triangle PST with angle PST = 30°, |ST| = 9 cm and |PS| = 12 cm

(b) With T as centre, draw a circle of radius 6 cm

(c) Construct the perpendicular bisector (mediator) of line PS.

(d) Label the intersections of the circle and the mediator Q1 and Q2.

(e) (i) Measure |Q1Q2|
(ii) Measure angle Q1TQ2

5. (a) Anita bought 51 tubers of yam at 3 for GHC 10.00. If she sold them and made a loss of 40%, how much did she sell each tuber of yam?

(b) The volume of a cylinder closed at one end is 1056 cm3. If its height is 21 cm, find its
(i) diameter
(ii) total surface area.

6. (a) (i) Copy and complete the following mapping:

x 1 2 3 4 5 6 7
↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓
y 5 7 9 – – – 17

(ii) Determine the rule for the mapping

(b) Draw two perpendicular axes Ox and Oy on a graph sheet.

(c) Using a scale of 2cm to 1 unit on the x-axis and 2cm to 2 units on the y-axis, mark the x-axis from 0 to 8 and the y-axis from 0 to 20.

(d) Plot the point for each ordered pair (x, y) and join them with a straight line.

(e) Find:
(i) y, when x is 0;
(ii) x, when y is 14