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Worksheets

May 19 months IGCSE entrance test - Maths

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

1. If a line passes through point A(0, c) and has gradient 'm' then the equation will be

a)

A.y = mx + c

b)

B.c = xy + m

c)

C.m = xy + c

d)

D.cx = y + m

2.

2. According to Pythagoras theorem, the distance between points (-3, 8) and (8, -5) is

a)

A.19.03 units

b)

B.11.03 units

c)

C.15.03 units

d)

D.17.03 units

3.

3. If coordinates of A and B are (2, 2) and (9, 11) respectively then the length of line segment AB is

a)

A.11.4

b)

B.13.4

c)

C.15.4

d)

D.17.4

4.

4. If the points of the straight line are M(7, 1) and N(7, 2) then the line MN is

a)

A.horizontal line with equation with x = 1

b)

B.vertical line with equation with x = 2

c)

C.vertical line with equation with x = 7

d)

D.vertical line with equation with x = 7

5.

5. The straight line equation y = 5x - 2 has gradient of

a)

A.x + y

b)

B.xy

c)

C.2

d)

D.5

6.

6. The product of a²b4 and a³b5 is

a)

A.a10 b20

b)

B.a5 b9

c)

C.a4 b6

d)

D.a6 b7

7.

7. The product of y7 and y³ is equal to

a)

A.y10

b)

B.y21

c)

C.y4

d)

D.y²

8.

8. The answer of 9.5 x 105 ⁄104 in ordinary notation is

a)

A.0.95

b)

B.0.095

c)

C.95

d)

D.0.0095

9.

9. If 36 ⁄27 = 3x then the value of 'x' is

a)

A.3

b)

B.4

c)

C.5

d)

D.2

10.

(10) If -5 > a and a > b then -5 is

a)

A.less than a

b)

B.greater than b

c)

C.greater than a

d)

D.less than b

11.

11.  By solving the inequality 6x - 7 > 5, the answer will be

a)

A.x > 6

b)

B.x < 5

c)

C.x < 7

d)

D.x > 2

12.

12. By solving the inequality 3(a - 6) < 4 + a, the answer will be

a)

A.a < 9

b)

B.a < 12

c)

C.a < 13

d)

Da < 11

13.

13. By solving the inequality 1⁄3(x - 3) > 1⁄2(x + 2), the answer will be

a)

A.x < -10

b)

B.x < -12

c)

C.x < -14

d)

D.x < -15

14.

14. Mary scored 200 marks in three tests. If average score of 60 is required then the lowest marks she must score for fourth test are

a)

A.x gt; 40

b)

B.x gt; 50

c)

C.x gt; 60

d)

D.x gt; 70

15.

15. If four times of certain number 'a' is ten more than thrice the number then the equation derived for this statement can be written as

a)

A.3a = 4a + 10

b)

B.3a = 4a - 10

c)

C.4a = 3a - 10

d)

D.4a = 3a + 10

16.

16. By solving the equation 1 2⁄3a + 6 = 4 1⁄2a - 10, the value of 'a' will be

a)

A.14

b)

B.12

c)

C.16

d)

D.18

17.

17. By solving the equation a = 2 - 9a, the value of a will be

a)

A.1⁄5

b)

B.2⁄3

c)

C.2⁄5

d)

D.1⁄2

18.

18.  By solving the equation 2a - 2 = 20, the value of 'a' will be

a)

A.12

b)

B.14

c)

C.11

d)

D.13

19.

19. On solving the equation 3 1⁄5b + 5 = 50, the value of 'b' must be

a)

A.8 1⁄12

b)

B.14 1⁄16

c)

C.14 1⁄17

d)

D.12 1⁄19

20.

20. On solving 2p - 3q - 4r + 6r - 2q + p, the answer will be

a)

A.8q -5r

b)

B.10p + 3q - 5r

c)

C.3p - 5q + 2r

d)

D.7p + 5r

21.

21. The answer of factorization of the expression 4z(3a + 2b - 4c) + (3a + 2b - 4c) is

a)

A.(4z + 1)(3a + 2b -4c)

b)

B.(4z + 1) + (3a + 2b -4c)

c)

C.(4z + 1) - (3a + 2b -4c)

d)

D.(4z - 1)(3a - 2b -4c)

22.

22. By factorizing the expression 2bx + 4by - 3ax -6ay, the answer must be

a)

A.2b + 3a)(x - 2y)

b)

B.(2b - 3a)(x + 2y)

c)

C.(2a- 3b)(3x - 2y)

d)

D.(2a + 3b)(2x - 4y)

23.

23. If -4x + 5y is subtracted from 3x + 2y then the answer will be

a)

A.3x + 6y

b)

B.2x + 5y

c)

C.x - 3y

d)

D.x + 3y

24.

24. On solving the algebraic expression -38b⁄2, the answer will be

a)

A.−19b

b)

B.19b

c)

C.56b

d)

D.−56b

25.

25. By converting the 5.6m² into the cm², the answer will be

a)

A.0.0056cm²

b)

B.5600cm²

c)

C.56000cm²

d)

D.560cm²

26.

26. A rectangular field is 40m long and 30m wide. The perimeter of rectangular field is

a)

A.200m²

b)

B.180m²

c)

C.160m²

d)

D.140m²

27.

27. By converting the 0.96km² into m²(meter square), the answer will be

a)

A.9600m²

b)

B.960m²

c)

C.0.96m²

d)

D.960000m²

28.

28. By converting the 4.8mm² into the cm², the answer will be

a)

A.0.048cm²

b)

B.0.48cm²

c)

C.48cm²

d)

D.480cm²

29.

29. By converting the 80.2km² into the hectare, the answer will be

a)

A.0.08020ha

b)

B.8020ha

c)

C.802ha

d)

D.0.802ha

30.

30. Y is directly proportional to x², x = 2 and y = 20, value of x when y = 1.25 is

a)

A.0.3

b)

B.0.6

c)

C.0.5

d)

D.0.8

31.

31. Y = 3/x² y and x are

a)

A.directly related

b)

B.inversely related

c)

C.not related

d)

D.none of above

32.

32. If y = x, then both are

a)

A.inversely related to each other

b)

B.directly related to each other

c)

C.not related

d)

D.none of above

33.

33.  7 identical pipes fill 3 identical tanks 45mins, 5 pipes fill one of these tanks in

a)

A.20min

b)

B.21min

c)

C.15min

d)

D.10min

34.

34. Q is directly proportional to √p Q = 21 when p = 9, the value of Q when p = 81 is

a)

A.63

b)

B.64

c)

C.56

d)

D.67

35.

35. If A = {3, 6, 9, 12} and B = {6, 8, 9} then intersection of A and B is

a)

A.{3, 6}

b)

B.{3, 12}

c)

C.{6, 9}

d)

D.{9, 12}

36.

36. Individual Objects in a set are called

a)

A.element

b)

B.set

c)

C.list

d)

D.None of above

37.

37. A set with no elements is

a)

A.a subset

b)

B.a universal set

c)

C.a null set

d)

D.a superset

38.

38. A group or collection of objects is called

a)

A.element

b)

B.set

c)

C.list

39.

39. The set of vowels in English alphabet contains elements

a)

A.{a, b, c, d, e, f}

b)

B.{a, e, i, o, u}

c)

C.{p, q, r, s, t}

d)

D.{l, m, n, o, p}

40.

40. The round off value of 78.25m to the nearest 10m is

a)

A.75m

b)

B.80m

c)

C.79m

d)

D.78m

41.

41. By evaluating (83 x 2.06)⁄5.48, the answer correct to three significant figures is

a)

A.5.12

b)

B.31.2

c)

C.312

d)

D.3.12

42.

42. The estimated value of the square root of 650 is

a)

A.15.495

b)

B.2.5495

c)

C.254.95

d)

D.25.495

43.

43. The correct value of 0.006472867 up to three significant figures is

a)

A.0.00647

b)

B.0.006

c)

C.0.00867

d)

D.0.647

44.

44. The round off value of 10256⁄32548 up to three decimal places is

a)

A.0.315

b)

B.0.316

c)

C.0.318

d)

D.0.32

45.

45. The product of 4⁄6 and 2⁄4 is

a)

A.1/4

b)

B.1/5

c)

C.1/6

d)

D.1/3

46.

46. Objects having same shapes but not necessarily same sizes are

a)

A.Similar

b)

B.Non-identical

c)

C.Non-similar

d)

D.None of above

47.

47. Congruent objects are

a)

A.Identical

b)

B.Non-identical

c)

C.Irregular

d)

D.None of above

48.

48. The scale of map is 4cm : 1km, the simplest possible ratio is

a)

A.1cm : 250m

b)

B.2cm : 340m

c)

C.3cm : 560m

d)

D.4cm : 120m

49.

49. Two hexagons of same shape and different sizes are

a)

A.Congruent

b)

B.Non-identical

c)

C.Non-congruent

d)

D.None of above

50.

50. Two polygons are similar then their corresponding angles are

a)

A.Not equal

b)

B.Equal

c)

C.congruent

d)

D.None of above