Your results on Mathematics 2010 are shown below

1. Simplify 0.000215 x 0.000028 and express your answer in standard form

• 6.03×10⁹
• 6x02x10⁹
• 6.03×10¯⁹
• 6.02×10¯⁹

2. Factorise: x+y-ax-ay

• (x-y)(1-a)
• (x+y)(1+a)
• (x+y)(1-a)
• (x-y)(1+a)

3. In the diagram <PSR=22°,<SPQ=58° and <PQR=41°. Calculate the obtuse angle QRS

• 99°
• 100°
• 121°
• 165°

4. The bar chart shows the marks distribution in an English test. Use it to answer question 4 and 5. If 50% is the pass mark,how many students passed the test?

• 100
• 85
• 80
• 70

5. What percentage of the students had marks ranging from 35 to 50?

• 55 1/3%
• 60%
• 65%
• 66 2/3%

6. A car uses one litre of petrol or every 14km. If one litre of petrol costs #63.00,how far can the car go with #900.00 worth of petrol?

• 420km
• 405km
• 210km
• 200km

7. Correct 0.002473 to 3 significant figures

• 0.002
• 0.0024
• 0.00247
• 0.0025

8. Simplify 1½+2⅓x¾-½

• -2⅓
• -2¼
• 2⅛
• 2¾

9. The sum of 2 consecutive whole numbers is 5/6 of their product. Find the numbers

• 3,4
• 1,2
• 2,3
• 0,1

10. What is the value of m in the diagram?

• 20°
• 30°
• 40°
• 50°

11. In the diagram,QR//ST,/PQ/=/PR/ and <PST=75°,find the value of y

• 105°
• 110°
• 130°
• 150°

12. A casting is made up of copper and zinc. If 65% of the casting is zinc and their are 147g of copper,what is the mass of the casting?

• 320g
• 420g
• 520g
• 620g

13. Given that P={x:≤x≤6} and Q={x:2<2x<10},where x is is an intege. Find the n(PnQ)

• 4
• 6
• 8
• 10

14. The sum of 6 and one third of x is one more than twice x.Find the x

• x=7
• x=5
• x=3
• x=2

15. Given that T = {x:-2

• 9
• 10
• 11
• 12

16. Solve the inequality: 3(x+1)≤5(x+2)+15

• x≥-14
• x≤-14
• x≤-11
• x≥-11

17. An empty rectangular tank is 250cm long and 120 cm wide. If 80 litres of water is poured into the tank,calculate the height of the water

• 6.0cm
• 5.5cm
• 5.0cm
• 4.5cm

18. Given that

• n=1
• n=2
• n=3
• n=5

19. The table shows the number of pets kept by30 students in a class,if a student is picked at random from the class,what is the probability that he/she kept more than one part pet?

• 1/5
• 2/5
• 3/5
• 4/5

20. Simplify 2√3-6/√3+3/√7

• 1
• ⅓√3
• 2√3
• 6√3-17

21. In the diagram,triangles HKL and HIJ are similar. Which of the following ratios is equal to LH/JH?

• KL/JI
• HK/JK
• JI/KL
• HK/LK

22. In the diagram,the targent MN makes an angle of 55° with the chord PS.If 0 is the centre of the circle,find <RPS

• 55°
• 45°
• 35°
• 25°

23. Simplify 2/2+x +2/2-x

• 4/4-x²
• 8/4-x²
• 4x/4-x²
• 8-4x/4-x²

24. A rectangle has length xcm and width (x-1)cm. If the perimeter is 16cm,find the value x

• 3½cm
• 4cm
• 4½cm
• 5cm

25. Given that tan x=1, where 0°≤x≤90°,evaluate 1-sin²x/cosx

• 2√2
• √2
• √2/2
• ½

26. If sin 3y=cos2y and 0°≤y≤90°, find the values of y

• 18°
• 36°
• 54°
• 90°

27. The sum of the exterior angles of an n-sided convex polygon is half the sum of its interior angles. Find n

• 6
• 8
• 9
• 12

28. What is the length of a rectangle garden whose perimeter is 32cm and area 39cm²?

• 25cm
• 18cm
• 13cm
• 9cm

29. If y=2(√x²+m)/3N,make x the subject of the formula

• √9y²N²-2m/2
• √9y²N²+2m/2
• √9y²N²-4m/2
• √9y²N²+4m/2

30. The nth term of the sequence: -2,4,-8,16….is given by

• Tn=2ᵔ
• Tn=(2)ᵔ
• Tn=(-2n)
• Tn=n²

31. In the diagram,o is the centre of the circle.<SQR=60°, <SPR=y and <SOR=3x. Find the value of (x+y)

• 110°
• 100°
• 80°
• 70°

32. How many times,correct to the nearest whole number,will a man run round a circular track of diameter 100m to cover a distance of 1000m?

• 3
• 4
• 5
• 6

33. The shaded portion in the diagram is the solution of

• x+y≤3
• x+y<3
• x+y>3
• x+y≥3

34. In the diagram,/EF/=8cm,/FG/xcm,/GH/=(x+2)cm,<EFG=90cm°.If the area of the shaded portion is 40cm², find the area of ▲EFG

• 72cm²
• 64cm²
• 32cm²
• 128cm²

35. In the diagram,GI is a tangent to the circle at H. If EF//GI,calculate the size of <EHF.

• 126°
• 72°
• 54°
• 28°

36. Bala sold an article for #6900.00 and made a profit of 15%. If he sold it for #6600.00 he would make a:

• Profit of 13%
• Loss of 12%
• Profit of 10%
• Loss of 5%

37. In the diagram,<ROS= 66° and <POQ=3x. Some construction lines are shown. Calculate the value of x.

• 10°
• 11°
• 22°
• 30°

38. The mean age of R men in a club is 50 years. Two men, aged 55 and 63,left the club and the mean age reduced by 1 year. Find the value of R

• 18
• 20
• 22
• 28

39. The table is for the relation y=mx+c where m and c are constants. Use it to answer questions 39 and 40. What is the equation of the line described in the table?

• y=2x
• y=x+1
• y=x
• y=½x+1

40. What is the value of x when y=5

• 8
• 9
• 10
• 11

41. The diagram is a net of a right rectangular pyramid. Calculate the total surface area.

• 208cm²
• 112cm²
• 92cm²
• 76cm²

42. The diagram shows a rectangular cardboard from which a semi circle is cut off. Calculate the area of the remaining part

• 44cm²
• 99cm²
• 154cm²
• 165cm²

43. The subtraction below is in base seven. Find the missing number

• 2
• 3
• 4
• 5

44. In the diagram,o is the centre of the circle . Find the value x

• 34
• 29
• 17
• 14

45. If the sum of the roots of the equation (x-p)(2x+1)=0 is 1, find the value of p

• 1½
• ½
• -½
• -1½

46. In the diagram <WOX=60°,<YOE=50°,<OXY=30°, what is the bearing of x from y?

• 300°
• 240°
• 190°
• 150°

47. In an athletics competition, the probability that an athlete wins a 100m race is ⅛ and the probability that he wins high jump is ¼. What is the probability that he wins only ine of the events?

• 3/32
• 3/16
• 7/32
• 5/16

48. If x²+kx+16/9 is a perfect square ,find the value of x.

• 8/3
• 7/3
• 5/3
• 2/3

49. י

• 7/18x
• 11/20x
• 4/15x
• 5/18x

50. The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of values of x

• x≤3
• x≥3
• x<3
• x>3

ANSWERS

1. B
2. C
3. C
4. B
5. D
6. D
7. C
8. D
9. C
10. B
11. A
12. B
13. A
14. C
15. C
16. D
17. A
18. C
19. C
20. B
21. A
22. C
23. B
24. C
25. C
26. –
27. A
28. C
29. C
30. B
31. C
32. A
33. C
34. C
35. B
36. C
37. A
38. B
39. B
40. A
41. B
42. B
43. A
44. D
45. A
46. A
47. D
48. A
49. D
50. A