Ujian Mac Matematik Tingkatan 2

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1 Round off 0.01761 correct to two significant figures. A 0.017 C 0.018 B 0.0176 D 0.02 2 Calculate the value of 8.27  0.16  2.9617 and round off your answer correct to two significant figures. A 49 C 48.73 B 48 D 48.72 3 Calculate the value of (8.76 – 5.917)  0.27 and round off your answer correct to three significant figures. A 10.529 C 10.5 B 10.530 D 11.0 4 Express 0.00000916 in standard form. A 9.16 106 C 9.16 10–5 B 9.16  105 D 9.16 10–6 5 Express 8.25  10–3 as a single number. A 0.000825 C 0.00825 B 0.00083 D 0.0083 6 The speed of light is 3  108 m s–1. Calculate the distance travelled, in km, in one hour. A 1.08  1012 C 1.08  1010 B 1.08  1011 D 1.08  109 7 Which of the following is a quadratic expression? A2x–9 C ( x  1)( x  7) = 0 B x( x2  1) D 7  x(6  x) 8 (2 x  y)( x  y) = A 2 x2 – xy – y2 B 2 x2 – xy  y2

C 2 x2  xy  y2 D 2 x2  xy  y2

9 8 p2  18 = A 2(4 p2  9) B (4 p  3)(4 p  3)

C 2(2 p  3)(2 p  3) D 2(2 p  3)(2 p  3)

10 p(2 p  7)  15 = A (2 p  3)( p  5) B (2 p  3)( p  5)

C (2 p  3)( p 5) D (2 p  5)( p  3)

11 Which of the following is a quadratic equation? x 1 4x 1 A x2  6 x  7 C  6 7 x  1 B x2(1  x) = 6 D = 2x 1 x 1 12 2 x(6  x) = – x in general form is

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A 2 x2  13 x = 0 B 13 x  2 x2 = 0 13 x = 3 is a root of A x2  2 x 3 = 0 B x2 + 2 x +3 = 0 14 Solve 2 x2 = 5 x  3 . 1 A x= or –3 2 1 B x= or 3 2

C 2 x2 = 13 x D 12 x  x2 = – x C x2  2 x  3 = 0 D x2  2 x  3 = 0 1 or –3 2 1 D x= or 3 2

C x=

15 Given that P = { x : x is a prime number, 0  x  6}, which of the following shows all elements of set P? A {2, 3} C {1, 3, 5} B {3, 5} D {2, 3, 5} 16 Given that R = {2, 3, 4}, which of the following is true? AR=φ C1R B n( R)= 4 D4R 17 Given that Q = { x : x is an even number, 0  x  10}, n(Q)= A4 C6 B5 D7 18 n( φ) = A3 B2

C1 D0

19 The following Venn diagram shows sets P and Q.

Based on the Venn diagram, Q′ = A {1, 2, 3, 4} C {3, 4} B {1, 2} Dφ 20 Given that P = {1, 2, 3, 4} and Q = {2, 5, 6}, P ∩ Q = Aφ C {5, 6} B {2} D {1, 3, 4} 21 The following Venn diagram shows sets P and Q.

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Based on the Venn diagram, the shaded region is A P ∩ Q′ C ( P ∩ Q)′ B P′ ∩ Q D ( P  Q)′ 22 The following Venn diagram shows universal set ξ and sets P and Q.

Based on the Venn diagram, ( P A {1, 2} C {8, 9} B {3, 4} D {5, 6, 7}



Q)′ =

23 The following Venn diagram shows sets V and W.

Based on the Venn diagram, n( V ∩ W)′ = A2 C4 B3 D6 24 The following Venn diagram shows sets P and Q.

Based on the Venn diagram, n( P A3 C1



Q)′ =

7

B2

D0

25 ‘6  3  20’ is A not a statement B a true statement

C a false statement D a compound statement

26 Which of the following is a false statement? A 2 is an even number. C 7 – 1 = 6 B 2 is a prime number. D 23 = 6 27 Which of the following can be generalized by using the quantifier ‘all’? A Fruits are sweet. C Quadrilaterals are squares B Flowers are red in colour. D Even numbers are divisible by 2. 28 Which of the following compound statements is true? A 2 is an even number and 4 is an odd number. B 3  2  1 and 6  9  10 C 9 = 3 and 10 = 5 D 33 = 9 and 23 = 8 29 Which of the following is an implication of 2 x = 6 if and only if x = 3? A If x = 3, then 2 x = 6. C x = 3 and 2 x = 6 B x = 3, so 2 x = 6. D x = 3 or 2 x = 6

30 Which of the following is the antecedent for the above implication? A If x is divisible by 2, then x is an even number. B x is an even number and divisible by 2. C x is divisible by 2. D x is an even number.

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What is the implication? A 4 and 2 are factors of 20. B 4 or 2 is a factor of 20. C If 4 is a factor of 20, then 2 is a factor of 20. D If 2 is a factor of 20, then 4 is a factor of 20.

32 The numerical sequence 9, 11, 13, ... can be written as A 2 n 7 , n = 0, 1, 2, 3, ...

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B 2 n 7 , n = 1, 2, 3, 4, ... C 2 n  7 , n = 1, 2, 3, 4, ... D x = n 2 , n = 9, 11, 13 33 Given that a numerical sequence can be written as 3n 2 – 5, n = 0, 1, 2, 3, ..., the fourth number in the sequence is A 43 C 20 B 22 D 10 34

The gradient of a straight line passing through points (5, –2) and (1, 6) is 1 A –2 C 2 1 B D2 2

35 The following diagram shows a straight line AB.

If the gradient of AB is A –10 B –6 36

1 , find the value of m. 2

C 20 D 26

The diagram below shows a straight line AB on a Cartesian plane.

The gradient of AB is 1 A3 C 3 1 B D –3 3 37

The following diagram shows a straight line PQ.

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The equation of the straight line PQ is A 4 x 3 y = 24 C 4 x 3 y = – 24 B 4 x 3 y = 24 D – 4 x 3 y = 24 38

The gradient of the straight line 4 x 2 y = 7 is A –4 C2 B –2 D4

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The equation of the straight line that passes through point (1, –5) and is parallel to the x-axis is A y 5 = 0 Cx=1 B y 5 = 0 Dx=5

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The equation of the straight line that passes through point (–6, 11) with a gradient of is A 2 x 3 y = 21 B 2 x 3 y = 21

C 3 x  2 y = 10 D 3 x 2 y = 10

END OF QUESTION PAPER

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