DURATION – 2½

# SECTION A – OBJECTIVES

INSTRUCTION – Choose the correct answer from this options A – D.

1. Evaluate (101.5)² – (100.5)².

(a) 1

(b) 2.02

(c) 20.2

(d) 202

2. Express the product of 0.06 and 0.09 in standard form.

(a) 5.4 x 10¯³

(b) 5.4 x 10¯²

(c) 5.4 x 10¯¹

(d) 5.4 x 10²

3. Simplify 36 ½ x 64 -1/2 x 50.

(a) 0

(b) 1/24

(c) 2/3

(d) 1 ½

4. Convert 35 to a number in base two.

(a) 1011 two

(b) 10011 two

(c) 110010 two

(d) 100011 two

5. In the diagram below /PQ/ = /PR/=/RS/ and <RSP=350. Find <QPR.

(a) 700

(b) 500

(c) 4500

(d) 3600

6. Find the missing number in the addition of the following numbers, in base seven.

4 3 2 1

+ 1 2 3 4

+ * * * *

————–

1 2 3 4 1

(a) 3453

(b) 5556

(c) 6016

(d) 13453

7. If 104y = 68, Find the value of y.

(a) 8

(b) 7

(c) 9

(d) 5

8. Evaluate (111 two)² – (101 two)².

(a) 10 two

(b) 100 two

(c) 1100 two

(d) 11000 two

9. The marks of eight students in a test are: 4, 5, 3, 14, 16 and 7, Find the range?

(a) 16

(b) 14

(c) 13

(d) 11

10. Using table, Log 3.709 is given as ______.

(a) 0.5694

(b) 0.5763

(c) 0.5692

(d) 0.5746

11. PQR is a sector of a circle centre o, radius 4cm. If PQR = 300, Find correct to 3 significant figures, the area of sector PQR (Take π =22/7).

(a) 4.19cm²

(b) 8.38cm²

(c) 10.5cm²

(d) 20.9cm²

12. If x = 3, you = 2 and Z = 4, what is the value of 3x² – 2y + 2?

(a) 17

(b) 27

(c) 35

(d) 71

13. A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle.

(a) 3.0 cm

(b) 3.5 cm

(c) 2.5 cm

(d) 4.0 cm

14. Expand the expression (3a-xy)(3a+xy).

(a) 9a² – x²y²

(b) 9a² + x²y²

(c) 9a² – xy

(d) 9a² + x²y

15. What is the mode of the number 8,10 ,9,9,10,8,11,8,10,9,8 and 14?

(a) 8

(b) 9

(c) 10

(d) 17

16. If 8x – 4 = 6x – 10, Find the value of 5x.

(a) – 35

(b) – 15

(c) – 3

(d) 3

17. Solve the simultaneous equations y=3x, 4y – 5x = 14.

(a) – 2, – 6

(b) 2, 6

(c) 2, – 6

(d) – 2, 6

18. Factorize the expression 2s² -3st – 2ts.

(a) (2s – t) (s + 2t)

(b) (2s + t) (s – 2t)

(c) (s + t) (2s – t)

(d) (2s + t) (s – t)

19. Calculate the perimeter of a football field which measures 80 m by 50 m.

(a) 870 m

(b) 462 m

(c) 620 m

(d) 260 m

20. Solve the equation; 3(4n-1)=27. What is the value of n?

(a) 21

(b) 27

(c) 31

(d) 2½

# SECTION B – FILL IN THE GAPS

21. Construct a quadrilateral ABCD in which the /AB/ = 6.3 cm /BC/ = 5.2 cm, /CD/ = 7 cm, BCD = 1200 and CDA = 450. Measure the length of /AC/.

22. Construct an equilateral triangle ABC of sides of 5 cm.

23. What is a bar chart? ______

The table below shows the amount of rainfall for some selected months of the year in a village.

Month – Amount of Rainfall

March ____________ 180

June ______________ 325

July _______________ 420

November ________ 105

December _________120

24. Represent the information above in a bar chart.

25. What is the average rainfall? ______

26. Which month recorded the highest amount of rainfall? ______.

The table below gives the distribution of marks obtained by a number of pupils in a class test.

Mark _____ 0 1  2   3   4  5

Frequency 4 7 12 18 11 8

27. The mode of the distribution.

28. Find the mean of the distribution.

29. Divide 1010102 by 102 = ______.

30. Express the product of 0.0043 and 2000 in standard form.

# SECTION C – THEORY

INSTRUCTION – Answer four (4) questions only.

QUESTION 1. Prove that the parallelogram on the same base and between the same parallels are equal in area.

QUESTION 2. A circular metal sheet 48cm in diameter and 2mm thick is melted and recast into a cylindrical bar 6cm in diameter. How long is the bar?

QUESTION 3. Calculate in terms of II, the total surface area of a cone of base diameter 12cm and height 10 cm PQRS is a trapezium in which /PQ/ /SR/, PQ = 16, QR = 12, Rs = 8cm and PQR = 300. Calculate the area of PQRS.

QUESTION 4. Calculate the volume of a cone of base diameter 14cm and height 5cm (π = 22/7).

QUESTION 5. If m = -4, a = 2, x = 3 and n = -2. Find the value of,

(I) am + ax

(ii) mn + ax

QUESTION 6. An Assembly area is in the shape of 30m by 30m². Part of the area is a concrete rectangle 25m by 5m; the rest is grass. Calculate the area of the grass?