Math Form 4 Exam Midterm - Paper 1

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Answer all questions.

1 Express 49700 in a standard form.

A 4.97 × 104

B 4.97 × 102

C 4.97 × 10-4

D 4.97 × 10-2

2 Round off 0.00687 correct to two significant figures.

A 0.01B 0.07C 0.0068D 0.0069

30.0012

8000000=¿

A 1.5 × 103

B 1.5 × 106

C 1.5 × 10-6

D 1.5 × 10-10

4 4.11 × 10-7 + 3.5 × 10-8

A 4.46 × 10-7

B 4.46 × 10-8

C 7.61 × 10-7

D 7.61 × 10-8

5 ( 9.6 × 105 ) – ( 4.5 × 10-7 ) ÷ ( 1.7 × 10-9 )

A 9.59 × 105

B 9.59 × 104

C 9.6 × 103

D 9.6 × 102

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6 The area of a rectangular land is 9.6 km2. Its width is 8000m. Find the length of the land in meter.

A 7.68 × 104

B 1.2 × 104

C 1.2 × 103

D 1.2 × 102

7 A reel of blue rope and a reel of red rope with length of 3 × 103 cm and 2.5 × 104 cm respectively. Calculate the total length, in mm, of two reels of blue rope and three reels of red rope.

A 2.8 × 104

B 2.8 × 105

C 8.1 × 104

D 8.1 × 105

8 The area of a rectangular nursery plot is 1.28 km2. Its width is 320 m. The length in m, of the nursery plot is

A 4 × 102

B 4 × 103

C 6.4 × 103

D 6.4 × 104

9 Factorise x3 – 36x completely.

A x(x2 – 36)B x(x – 6) (x + 6)C x(x – 6) (x – 6)D 6x(6 – x2)

10 6x(2x – 3y) – 8x2

A 4x2 – 18xyB 4x2 – 3yC 4x2 – 18y D 20x2 – 18xy

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11 Factorise p2 – 6p + 8

A (p – 2)(p – 3)B (p – 4)(p – 2)C (p + 4)(p – 2)D (p – 4)(p – 6)

12 The diagram below shows a Venn diagram with the number of elements in universal set ξ, set X and set Y.

Given that n (ξ) = 21, the value of n (X’ ∩ Y’) is

A 8B 10C 11D 13

13 The diagram below shows a Venn diagram and the universal set ξ = E ∪ F ∪ G.

All the relations between set E, F, and G are true except

A G E B E ∪ G = EC E ∩ G = ED E ∩ F ≠ ∅

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14 Which of the following Venn diagram represent L ∩ M ∪ N ?

15 From the Venn diagram below, it is given that the universal set ξ = P ∪ Q ∪ R. Find n(P ∩ Q’ ∩ R).

A 6 B 2C 1D 5

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16 Given B = {1, 3, 5, 7, 8}, find the number of subset B

A 8B 16C 32D 64

17 (2x – 3)2 – 2(x – 5)

A 4x2 – 2x – 19 B 4x2 – 2x + 19C 4x2 – 14x – 19 D 4x2 – 14x + 19

18 Given that 10x – 3 = 12 – 5(x – 3). Calculate the value of x.

A -6B 0C 2D 8

19 The universal set ξ = J ∪ K ∪ L. Set J = { G, E, M, A, S}, Set K = { P, A, R, O, I}, Set L = { T, A, M, P, I, N}. Find the value of n(J∩ L)’.

A 7B 8C 9D 10

20 The diagram below shows the Venn diagram with the universal set ξ, sets P, Q, and R with the marked region A, B, C, and D. Given that universal set ξ is integer, element of set P is a multiple of 2, element of set Q is a multiple of 3 and element of set R is a multiple of 12. Set the region in which element 102 is located.

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21 Determine the x-intercept of the straight line 5x + 3y – 8 = 0

A 85

B 83

C−53

D −85

22 Find the y-intercept of the straight line 5x – 2y + 20 = 0

A -4B -10C 4D 10

23 Find the equation of the straight line EF in the diagram below

A 7y = -4x + 17B 7y = -4x + 25

C y = - 27

x + 197

D y = - 47

x + 17

24 The diagram below shows a straight line MN on a Cartesian plane.

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Given that the gradient of straight line MN is 25

. The value of h is

A -3B -6C 3D 6

25 In the diagram below, the straight line PQ and RS are parallel. Find the y-intercept for line RS.

A -2B -3C -4D -6

26 In the diagram below, PQ is a straight line. What is the gradient of PQ?

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A -2B 3C 6D 14

27 Find the gradient of 4y + 5x = 21x – 16

A -5B 4C -4D 14

28 Which of the following statements are true?

I 14 + 16 = 29II 16 + 11 = 27III 15 substracted by 7 is 8

A I and II onlyB II and III onlyC I and III onlyD I, II, and III

29 Which of the following statements are false?

I Part of the whole numbers are negative.II Some triangle have two equal sides.III All prime numbers are an odd numbers

A I and II onlyB II and III onlyC I and III only

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D I, II, and III

30 Complete the conclusion of the following argument.

Premise 1 : If x is a factor of 12, then x is also a factor of 24.Premise 2 : 3 is a factor of 12.Conclusion : ..............................................................

A 3 is a factor of 24B 3 is not a factor of 24C 3 is a factor of 12D -3 is a factor of 24

31 State the y-intercept of the straight line 3x = 4y – 24.

A -8B -6C 6D 8

32 Diagram 1 shows an empty tank, which is a cube with length 25 cm. A worker fills up 75 % of the tank with water.

Calculate the volume , in cm3 , of water in the tank.

A 3.91 × 10 3

B 3.91 × 10 5

C 1.17 × 10 4

D 1.17 × 10 6

33 x(x – 2y) – (y – x)2

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A -y2

B 2x2 – y2

C 2xy – y2

D -2xy – y2

34 Given that h – 3 = 4 (h−2)

5’ calculate the value of h.

A -23B -5C 1D 7

35 The diagram below is a Venn diagram which shows the element of sets M, N and K.

If the universal set ξ = M ∪ N ∪K, then set N ' is

A {1, 2}B {3, 6}C {1, 2, 5}D {3, 4, 6}

36 The diagram below shows a Venn diagram with the universal set ξ = {Form 6 students}set P = {students who read Malay magazine}, Q = {students who read English magazine}.

Given that n(P) = 80, n(Q) = 104, n(P∩Q) = 12 and the number of students who do not read either magazine is 4. Find the total number of Form 6 students.

A 172

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B 176C 196D 200

37 The diagram below shows a straight line MN on a Cartesian plane.

Given that the gradient of straight line M is 52

. The value of h is

A -3B -6C 3D 6

38 The diagram below is a Venn diagram showing the elements of the universal set, ξ,set M and set N.

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List all the elements of set (M ∩N)'.

A { 4 }B { 1, 5 }C { 2, 3 }D { 1, 2, 3, 5}

39 The diagram below is a Venn diagram which shows set P, set Q , set R and universal set, ξ = P ∪ Q ∪R

The shaded region in the Venn diagram represents the set

A P’ ∩ R’B P’ ∪ R’C (P ∪ R)’ ∪ QD P’ ∩ Q ∩ R

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40 The table below shows data obtained from a group of 25 students. The diagram below is a Venn diagram that represents part of the information in the table beside.

Find the number of students who take Accounts only.

A 2B 3C 11D 14

End of questions.

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Mathematics Teacher

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