Maths F5 Mid-Term Examination (E)

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Transcript of Maths F5 Mid-Term Examination (E)

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MID-TERM EXAMINATION (Chapter 1 to Chapter 6)

PAPER 1 Time: One hour fifteen minutes This question paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose only one answer. Non-programmable scientific calculator is allowed.

1 What is the value of digit 4, in base ten, in the number 3 4798? A 8 C 256 B 32 D 400 2 Express 53 + 2 as a number in base five. A 75 C 1275 B 1255 D 10025 3 110012 11102 = A 10112 B 10012 C 11002 D 11012 4 Express 5.74 103 as a single number. A 0.000574 B 0.00574 C 0.0574 D 0.574 5 Express 111011012 as a number in base eight. A 3158 B 3508 C 3558 D 3658 6 Given k 10112 = 1012, find the value of k. A 1102 B 10112 C 11112 D 100002 7 Find the value of x in the equation 110112 + x = 111102. A 102 B 112 C 1102 D 1112 8 Which of the following graphs represent the function y = (x 4)(x + 2)? A

B

D

C

10 Diagram 1 shows the graph of a function.

DDiagram 1

9 Which of the following graphs represents y = 4 ? x A

Which of the following is the equation for the function? A y = 2x3 + 3 B y = 2x3 + 3 C y = 2x3 3 D y = 2x3 3 11 Diagram 2 shows GH is a straight 1 line with gradient . 5

B

Diagram 2

Find the x-intercept of the straight line GH. A 25 C 5 B 10 D 1 12 Which of the following graphs represents y = 16 5x3? A

C

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MID-TERM EXAMINATION (Chapter 1 to Chapter 6)

PAPER 1 Time: One hour fifteen minutes This question paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose only one answer. Non-programmable scientific calculator is allowed.

B

straight lines reflection? A PS B PQ C RQ D RS 15 Diagram 5 shows five triangles are drawn on a grid of squares.

is

the

axis

of

C

D 18 Diagram 8 shows 5 triangles are drawn on a grid of squares.Diagram 5

Which of the triangles, A, B, C and D is the image of triangle K under an enlargement of scale factor Z? 13 Diagram 3 shows a shaded region. 16 Diagram 6 shows X is the image of point Y under a translation.Diagram 8

Which of the triangles A, B, C and D is not an image of triangle M under a rotation.Diagram 3

The inequalities that define the shaded region are A y x; x O; y < 5 B y x; x O; y 5 C y x; x O; y < 5 D y x; x O; y > 5 14 Diagram 4 shows the graph of the function y = x2 + 8.

19 Diagram 9 shows N is the image of M under a rotation of 90 clockwise.Diagram 6

What is the translation? 5 5 A 13 C 12 5 B 13 5 D 12Diagram 9

17 Diagram 7 shows 6 points are drawn on a grid of squares.

Which of the points A, B, C and D is the centre of rotation? 20 Diagram 10 shows X is the image of Y under a rotation of 90 anticlockwise about point (t, u) 3 followed by a translation 1 .

Diagram 4

Which of the following straight line is suitable to be drawn to find the value of x which satisfies the equation x2 + x + 8 = 0? A y = 2x C y=x B y = x D 2y = x Navision (M) Sdn. Bhd. (690640-P)

Diagram 7

Point K is the image of point L under a reflection. Which of the following

32

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MID-TERM EXAMINATION (Chapter 1 to Chapter 6)

PAPER 1 Time: One hour fifteen minutes This question paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose only one answer. Non-programmable scientific calculator is allowed.

( 3xy) 26 Given the matrix equation 5 x ( 2 y) = (12 ) , find the value of x 22 2y. A 2 B 2Diagram 10

B 50 C 125 D 250 33 Given that G m3 and G = 16 n when m = 4 and n = 4, find the value of m when G = 27 and n = 16. A 6 C 10 B 8 D 12

C 4 D 6

The values of t and u are A t = 1, u = 1 C t = 1, u = 2 B t = 2, u = 1 D t = 2, u = 2 0 k 21 Given (k 4) 1 5 = (4 29), find the value of k. A 5 C 4 C 3 D 3 5 0 1 2

1 27 Given that G = 1 and H = equation G + 1 = H. A 2 B 4 C 6 D 8

3 0 , find the value of k which satisties the

()k

34 Diagram 12 shows some values of the variables X, Y and Z such that X 1 . YZ X 3 1 2 Y 2 6Diagram 12

Z 5 p

(3 2 22 4

1 6

5 7

) 2 ( -43

)=

28 Given that the inverse matrix of 3 7 n 7 1 3 is m 1 3 , find the value of m + n. A 1 2 B 3 1 2 C 21 2 D 5

8 1 19 4 6 18 A 11 24 26 C 2 24 24 4 6 18 4 6 18 B 14 24 24 D 14 24 24 1 4 23 Given (4 x 1) 5 x = (1 28), 7 8 find the value of x. A 3 C 1 B 2 D 2 4 2 12 4 24 2 7 1 + 1 18 6 2 2 0 4 8 = 2 2 2 4 A 13 11 C 13 13 2 2 B 15 9 D 2 2 13 11 2

Find the value of p. A 6 C 10 B 8 D 14 35 Given that M N and N = 5P 3. M = 10 when P = 1, find the value of P when M = 60. A 3 C 6 B 4 D 7 36 Given that P Q, Q = 3R + 1 and P = 14 when R = 2, the equation that relates P and Q is A P=Q B P = 2Q C P= 1Q 2 D P=Q+2 37 Diagram 13 shows the graph of speed-time of a particle for a period of 20 seconds.

29 Given that y varies directly as x3 and y = 32 when x = 2, express y in terms of x. A y = x3 C y = 4x 3 B y = 4x3 D y= x 4 30 Given that f varies inversely as W and W = 5 when f = 3, express f in terms of W. 5w 15 A f= C f= 3 w 5 B f = 15w D f= 3w 31 Diagram 11 shows some values of the variables X, Y and Z such that X varies directly as Y and inversely as Z. X 5 7.5 Y 3 h Z 2 4

25 Find the value of x in the following matrix equation: 4 x 6 4 x 0 22 3 8 2 2 4 7 = 16 20 A 2 B 2 C 3 D 4

Diagram 11

Calculate the value of h. A 6 C 12 B 9 D 15 32 Given p varies directly as the cube of q, and p = 54 when q = 3, find the value of p when q = 5. A 25

Diagram 13

Find the total distance, in m, travelled by the particle. A 100 C 200 B 160 D 260

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MID-TERM EXAMINATION (Chapter 1 to Chapter 6)

PAPER 1 Time: One hour fifteen minutes This question paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose only one answer. Non-programmable scientific calculator is allowed.

38 Diagram 14 shows the graph of speed-time of a particle for a period of 18 seconds.

39 Diagram 15 shows the speed-time graph of a car driver.

Diagram 16 Diagram 15 Diagram 14

The total distance travelled by the particle is 430 m. Find the value of U. A 24 C 30 B 28 D 34PAPER 2

Find the time, t, if the distance travelled at a uniform speed is 60 m. A 2 C 6 B 5 D 8 40 Diagram 16 shows the speed-time graph of a trolley for a period of 10 seconds.

Find the total distance, in m, travelled by the trolley. A 10 C 25 B 20 D 30

Time: Two hours and thirty minutes

This question paper consists of two sections: Section A and Section B. Answer all the questions in Section A and four questions from Section B. Write your answers in the spaces provided in the question paper. Show your working. It may help you to get mark. Nonprogrammable scientific calculator is allowed. Section A [52 marks] Answer all the questions in this section.

1 (a) Express 5 84 + 2 83 + 7 81 + 1 80 as a number in base eight. (b) Express 578 as a number in base two. [2 marks]

2 Solve each of the following. (a) 1001112 + 1011012 (b) 101102 11012 [4 marks] 4 Diagram 1 shows a shaded region.

3 On the graph below, shade the region which satisfy the three inequalities y x + 5, y 2x 2 and x > 1. [3 marks]

Diagram 1

State three inequalities which define the shaded region. [3 marks]

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NAMA: _______________________________________________

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MID-TERM EXAMINATION (Chapter 1 to Chapter 6)

PAPER 1 Time: One hour fifteen minutes This question paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose only one answer. Non-programmable scientific calculator is allowed.

1 4 5 4 5 (a) Given that the inverse matrix of 2 5 = p q 1 , find the values of p and q. (b) Using matries, calculate the values of x and y that satisfy the following simultaneous linear equations. x + 4y = 10 2x + 5y = 11 [6 marks]

(i) P varies directly as Q, (ii) P varies inversely as the cube root of Q. 1 (b) Given E , F = 2G + 1 and E = 1 when G = 3, 7 F2 find the value of E when G = 2. [6 marks]

3 5 1 0 6 Given H 3 4 = 0 1 where H is a 2 2 matrix. (a) Find the matrix H. (b) Write the following simultaneous equations as a matrix equation. 3x 5y = 1 3x + 4y = 2 Hence, calculate the value of x and of y by using the matrix method. [6 marks]

9 Diagram 2 shows the speed-time graphs for a particle X and particle Y. Both the particle move from the same place and time.

Diagram 2