Document

1.If N$112.00$ exchanges for D$14.94$, calculate the value of D$1.00$ in naira.

A. $0.13$
B. $7.49$
C. $8.00$
D. $13.00$

2. Solve for $x$ in the equation $\frac{3}{5(2x-1)}=\frac{1}{4(5x-3)}$

A. $0$
B. $1$
C. $2$
D. $3$

3. Given that cos $x^0$ = $\frac{1}{r}$ , express tan $x^o$ in terms of $r$.

A. $\frac{1}{ r}$
B. $\sqrt{r}$
C. $\sqrt {r^{2}}+1$
D. $\sqrt {r^{2}}-1$

4. The diagram below shows a cyclic quadrilateral $PQRS$ with it diagonals intersecting at $K$ . Which of the following triangles is similar to $\triangle QKR$?
A. $\triangle PQK$
B. $\triangle PSK$
C. $\triangle SKR$
d. $\triangle PPSR$



5. In the diagram below, $OP$ and $OR$ are radii, $|PQ|=|QR|$ and reflex $\angle POR$ is $240^0$. Calculate the value of $x$.

A. $60^0$
B. $50^0$
C. $40^0$
D. $45^0$



6. If a number is chosen at random from the set ($x:4 \le x \le 15$), find the probability that it is a multiple of $3$ or a multiple of $4$

A. $\frac{1}{12}$

B. $\frac{5}{12}$

C. $\frac{1}{2}$

D. $\frac{11}{12}$

7. Solve the equations: $3x - 2y = 7 x + 2y = -3$

A. $x = 1, y = -2$
B. $x = 1, y = 3$
C. $x = 2, y = -1$
D. $x = 4, y = -3$

8. One of the factors of $(mm - nq - n^{2} + mq)$ is $(m-n)$. The other factor is:

A. $(n-q)$
B. $(q-n)$
C. $(n+q)$
D. $(q-m)$

9. A cylindrical container has a base radius of $14cm$ and height $18cm$. How many litres, correct to the nearest litre, of liquid can it hold?[Take $\pi$ = $\frac{22}{7}$]

A. $11$
B. $14$
C. $16$
D. $18$

10. Find the size of the angle marked $x$ in the diagram below:

A. $106^0$
B. $112^0$
C. $128^0$
D. $142^0$



11. A regular polygon of a $n$ sides has each exterior angle equal to $45^0$. Find the value of $n$

A. $6$
B. $8$
C. $12$
D. $15$

12. Esther was facing S $20^0$W. She turned $90^0$ in the clockwise direction. What direction is she facing?

A. N $70^0$W
B. S $70^0$E
C. N $20^0$W
D. S $20^0$E

See pages for figures

13. How many members are in the club?

A. $52$
B. $50$
C. $48$
D. $40$

14. What is their modal age?

A. $44.5$
B. $42.5$
C. $41.5$
D. $40.5$

15. The cross section of a uniform prism is a right-angled triangle with sides $3cm$, $4cm$ and $5cm$. If its angled triangle is 10cm, calculate the total surface area.

A. $142 cm^2$
B. $132 cm^2$
C. $122 cm^2$
D. $112 cm^2$

16. From the equation whose roots are $x =\frac{1}{2}$ and $n=\frac{-2}{3}$

A. $6{x}^{2} - x + 2 = 0 $
B. $6{x}^{2} - x - 2 = 0 $
C. $6{x}^{2} + x + 2 = 0 $
D. $6{x}^{2} + x - 2 = 0 $

19. The perimeter of a sector of a circle of radius $4cm$ is ($\pi + 8$)cm. Calculate the angle of the sector.

A. $45^0$
B. $60^0$
C. $75^0$
D. $90^0$

20. The length of a piece of stick is $1.75 m$. A girl measured it as $1.80 m$. Find the percentage error.

A. $\frac{128}{7}$%

B. $\frac{29}{7}$ %

C. $5$%

D. $\frac{20}{7}$%


21. What is the value of $3$ in the number $42.7531$?

A. $\frac{3}{10000}$

B. $\frac{3}{1000}$

C. $\frac{3}{100}$

D. $\frac{3}{10}$

22. The height of a cylinder is equal to its radius. If the volume is $0.216\pi m^3$, calculate the radius.

A. $0.46m$
B. $0.60m$
C. $0.87m$
D. $1.80m$

23. In the diagram below, $\frac{MN}{OP}$, $\angle NMQ$=$65^0$ and $\angle QOP$=$125^0$. What is the size of $\angle MNR$?

A. $110^0$
B. $120^0$
C. $130^0$
D $160^0$



24. A circle is divided into two sectors in the ratio 3:7. If the radius of the circle is 7cm, calculate the length of the minor arc of the circle.

A. 18.85cm
B. 13.20cm
C. 12.30cm
D. 11.30cm

See pages for figures

25. Estimate the median of the data represented on the graph

A. $35.5$
B. $36.5$
C. $37.5$
D. $38.5$

26. What is the $80th$ percentile?

A. $45.5$
B. $46.5$
C. $47.5$
D. $48.5$

27. From the daigram below, which of the following statement are true? I. $m=q$ II. $n=q$ III. $n+p=180$ IV. $p+m=180^0$

A. I and II
B. I and IV
C. II and III
D. II and IV



28. Factorize the expression $am+ bn - an - bm$

A. $(a-b)(m+n)$
B. $(a-b)(m-n)$
C. $(a+b)(m-n)$
D. $(a+b)(m+n)$

See pages for figures

29. Find the values of x for which $x^3-3x=7$

A. $-1.55, 4.55$
B. $1.55, -4.55$
C. $-1.55, -4.55$
D. $1.55, 4.55$

30. What is the equation of the line of symmetry of the graph?

A. $y = 0.5$
B. $x = 1.0$
C. $x = 1.5$
D. $y = 4.6$

31. Simplify: $\frac{m}{n}+\frac{\frac{m-1}{5n-(m-2)}}{10n}$. Where $n \ne 0$.

A. $\frac{m-3}{10n}$

B. $\frac{11m}{10n}$

C. $\frac{m+1}{10n}$

D. $\frac{11m+4}{10n}$

32. If $\sqrt 72 + \sqrt 32 - 3\sqrt 18= \sqrt 8$, find the value of $x$.

A. $1$
B. $\frac{3}{4}$
C. $\frac{1}{2}$
D. $\frac{1}{4}$

33. $G$ varies directly as the square of $H$. If $G$ is $4$ when $H$ is $3$, find $H$ when $G = 100$

A. $15$
B. $25$
C. $75$
D. $225$

34. Given that n(P) = $19$, n(P ∪ Q) = $38$ and n(P ∩ Q)=$7$, find n(Q).

A. $26$
B. $31$
C. $36$
D. $50$

35. What must be added to $(2x - 3y)$ to get $(x - 2y)$?

A. $5y - x$
B. $y - x$
C. $x - 5x$
D. $x - y$

36. Simplify $1 \frac{3}{4}-(2\frac{1}{3}+4)$

A. $3\frac{5}{12}$

B. $2\frac{7}{12}$

C. $-4\frac{7}{12}$

D. $-5\frac{5}{12}$

37. In the daigram below, $STUV$ is a straight line. $\angle TSY=\angle UXY=40^0$ and $\angle UVW=110^0.$ Calculate $\angle TYW$ A. $150^0$
B. $140^0$
C. $130^0$
D. $120^0$



38. Given that $124_{x}$ = $7(14_{x})$, find the value of $x$

A. $12$
B. $11$
C. $9$
D. $8$

39. Find the smaller value of x that satisfies the equation: $x^{2} + 7x + 10 = 0$

A. $-5$
B. $-2$
C. $2$
D. $5$

40. The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect:

A. On one of the vertices
B. At a midpoint of a side
C. Inside the triangle
D. Outside the triangle

41. A rectangular garden measures $18.6m$ by $12.5m$. Calculate, correct to three significant figures, the area of the garden.

A. $230m^2$
B. $231m^2$
C. $232m^2$
D. $233m^2$

42. John pours $96$ litres of red oil into a rectangular container with length $220cm$ and breadth $40cm$. Calculat, correct to the nearest $cm$, the height of the oil in the container

A. $11m$
B. $18cm$
C. $21cm$
D. $34cm$

43. In a quiz competition, a student answers n questions correctly and was given $D(n+50)$ for each question correctly anaswered. If he gets $D600.00$ altogether, how many questions did he answer correctlt?

A. $18$
B. $15$
C. $12$
D. $10$



44. The venn diagram above shows the number of students in a class who like reading $(R)$, dancing $(D)$ and swimming $S$. How many students like dancing and swimming?

45. A shpkeeper allows a discount of $15$% on the marked price of mobile phone. If a customer paid GH₵170.00 for a mobile phone ,what was the marked price of the phone?

A.GH₵144.00
B.GH₵195.00
C.GH₵200.00
D.GH₵255.00

46. If $27^x = 9^y$, find the value of x/y

A.$\frac{1}{3}$

B. $\frac{2}{3}$

C. $1 \frac{1}{2}$

D. $3$

47. In the diagram below, $PT//TS$, $PR//TU$, reflex $\angle QPS$=$245^0$, $\angle PST$=$115^0$, $\angle STU$=$65^0$ and $\angle RPS$=$x$. Find the value of $x$

A.$80^0$
B.$70^0$
C.$60^0$
D.$50^0$



48. See pages for figures

49. A boy looks through a window of a building and sees a mango fruit on the ground $50m$ away from the foot of the building. If the window is $9m$ from the ground, calculate, correct to the nearest degree, the angle of depression of hte mango from the window.

A. $9^0$
B. $10^0$
C. $11^0$
D. $12^0$

50. If $E= \frac{MN}{s}+N$ and $E = 75$, $M = 120$, $N = 5000$, find $S$

A. $1000$
B. $2000$
C. $3000$
D. $4000$

Q Ans Q Ans
1B26*
2D27B
3D28B
4B29A
5A30C
6C31B
7A32C
8C33A
9A34A
10C35B
11B36C
12A37A
13B38D
14A39A
15B40C
16D41D
17D42A
18A43D
19D44C
20B45C
21B46B
22B47D
23B48B
24B49B
25B50C