8/11/2019 MODUL A SET 1

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1. The diagram shows a solid with rectangular baseABCDon a horizontal plane.

EA, KB, JC, LFandHGDare vertical edges. Rectangle GFLHis a vertical plane.

TrapeziumLKJHand triangleEFGare horizontal planes.

Draw to full scale,

(a) the plan of the solid, 4 marks

(b) its elevation on a vertical plane parallel toABas viewed fromX, 4 marks

(c) its elevation on a vertical plane parallel toBCas viewed from Y. 4 marks

Y

CD

K

JH

E F

L

G

AB

7 cm

7 cm

6 cm

4 cm

3 cm

4 cm

X

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2. The data in the diagram shows the marks obtained by 40 students in a Physics test.

(a)Based on the above data and by using a class interval of 10, complete the

following table. 4 marks

Marks Frequency Midpoint

30 - 39 34.5

40 - 49

(b) Based on the table in (a),

i) state the modal class of the data,

ii) calculate the mean mark for the Physics test. 4 marks

(c)For this part of the question, use the graph paper.

By using a scale of 2 cm to 10 marks on the horizontal axis and 2 cm to 1 student

on the vertical axis, draw a histogram for the data. 4 marks

39 65 55 49 55 62 92 81 69 6157 60 89 54 34 58 42 84 72 69

67 81 70 95 63 72 67 40 38 4833 55 59 88 32 37 43 51 47 47

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3. (a) State whether each of the following statement is true or false

(i) 3 = 6 or -2-3 = -5

(ii) -5 > -6 and 4 10-2

= 0.4

(b) Write down two implications based on the following sentence

(c) Complete the premise in the following argument

Premise 1 : If m is an even number, then (m+ 1) is an odd number

Premise 2 : ..

Conclusion : (m + 1) is an odd number.

5 marks

w is divisible by 2 if and only if w is an even number

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4. (a) Complete the table in the answer space for the equation 843 xxy by

writing down the values of y when 2x and 5.2x [2 marks]

(b) For this part of the question, use the graph paper .

You may use a flexible curve rule.

By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the

y-axis, draw the graph of 843 xxy for 5.33 x [5 marks]

(c) From your graph, find

(i) the value ofywhen 9.2x ,

(ii) the value ofxwhen 16y

[2 marks]

(d) Draw a suitable straight line on your graph to find all the values of x which satisfy

the equation 0493 xx for 5.33 x

State these values ofx.[3 marks]

Answer:

(a)

x 3 2 1 0 1 2 2.5 3 3.5

y 7 11 8 5 8 23 36.9

(b) Refer to the graph.

(c) (i) y = .

(ii) x = .

(d) x = , .. , .

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5. Calculate the value of h and of k that satisfy the following simultaneous linear

equations.

132

1 kh

1132 kh

6. M is a 2 x 2 matrix where

10

01

45

23M

(a) Find the matrix M .

(b) Writing the following simultaneous linear equations as a matrix equation.

723 nm

945 nm

Hence, using matrices, calculate the values of m and of n .

[6 marks]