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Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak 1 1. Round off 50 941 correct to three significant figures. 2 2. Express 351 000 in standard form. 3 3. 0.0000025 – 1.3 x 10 -7 = 4 4. A rectangular floor has a width of 2400 cm and a length of 3000 cm. The floor will be covered with tiles. Each tile is a square of side 20 cm. Calculate the number of tiles required to cover the floor fully. 5 5. Sate the value of the digit 5 in the number 1536 8 , in base ten. 6 6. 11100 2 – 1010 2 = 7 7. Diagram 7 shows a regular pentagon PQRST and an equilateral triangle TUV. PUQ is a straight line. Diagram 7 Find the value of x. 1449/1 A 509 B 510 C 50 940 D 50 900 A 3.51 x 10 3 B 3.51 x 10 -3 C 3.51 x 10 5 D 3.51 x 10 -5 A 1.2 x 10 -6 B 1.2 x 10 -7 C 2.37 x 10 -6 D 2.37 x 10 -7 A 1.8 x 10 4 B 1.8 x 10 8 C 3.6 x 10 4 D 3.6 x 10 8 A 40 B 64 C 320 D 500 A 10000 2 B 10010 2 C 10100 2 D 10110 2 A 47 B 49 C 60 D 71

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Page 1: Mm paper 1

Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak

1 1. Round off 50 941 correct to three significant figures.

2 2. Express 351 000 in standard form.

3 3. 0.0000025 – 1.3 x 10-7 =

4 4. A rectangular floor has a width of 2400 cm and a length of 3000 cm. The floor will be covered with tiles. Each tile is a square of side 20 cm.Calculate the number of tiles required to cover the floor fully.

5 5. Sate the value of the digit 5 in the number 15368, in base ten.

6 6. 111002 – 10102 =

7 7. Diagram 7 shows a regular pentagon PQRST and an equilateral triangle TUV. PUQ is a straight line.

Diagram 7

Find the value of x.

8 8. In Diagram 8, PQRW is a rhombus and VWP is a straight line.

Diagram 8

Calculate the value of x + y.

9 9. Diagram 9 shows a circle, PFQ, centre O. EFG is a tangent to the circle at F.

Diagram 9

Find the value of x.

1449/1

A 509

B 510

C 50 940

D 50 900A 3.51 x 103

B 3.51 x 10 -3

C 3.51 x 105

D 3.51 x 10-5A 1.2 x 10-6

B 1.2 x 10-7

C 2.37 x 10-6

D 2.37 x 10-7

A 1.8 x 104

B 1.8 x 108

C 3.6 x 104

D 3.6 x 108

A 40

B 64

C 320

D 500A 100002

B 100102

C 101002

D 101102

A 47

B 49

C 60

D 71

A 160

B 170

C 220

D 230

A 32

B 48

C 61

D 74

Page 2: Mm paper 1

Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak

1010. Diagram 10 shows five triangles drawn on square grids.

Diagram 10Which of the triangles, A, B, C or D, is not an image of triangle P under a rotation?

11. In Diagram 11, the square UVWX is the image of the square STUR under an enlargement.

Diagram 11

The centre of the enlargement and its scale factor are

Centre of enlargement

Scale Factor

A P -3B P 3C U -3D U 3

12. Which of the following represents the graph of y = sin x for 0⁰≤ x ≤ 270⁰?

14. Diagram 14 shows a cuboid with a horizontal rectangular base PQRS.

Diagram 14

What is the angle between the line VQ and plane QUT?

15. In Diagram 15, JL and NM are two vertical poles on a horizontal plane. K is a point on JL such that

1449/1

A

B

C

D

13. Given that tan x⁰ = where

180⁰≤ x ≤ 360⁰, find the value of cos x⁰.

A

B

C

D

A VQT

B VQS

C VQU

D VUQ

.

Page 3: Mm paper 1

Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak

KL = NM.

Diagram 15

The angle of depression of N from Jis

16. In Diagram 16, PQ and RS are two vertical buildings on a horizontal

ground.

Diagram 16

The angle of depression of P from Ris 38°. Calculate the angle ofelevation of R from Q.

17. + 5 = 2(y – 1)2 when written in

general form is

18. Factorise completely 9y2 – 36.

19.

9m(4m – 3n) – (5m – n)2 =

20.Express as a single fraction

in its simplest form.

21.

Given that = 2, therefore y =

22.Given that , calculate

the value of h.

23.Simplify (2a4b)3 x

24. If 3 x 22x+1 = 192, find the value of x

25. List all the integers x which satisfy

the inequalities −2 ≤ < 2.

26.Find the solution for 1 – x < 4

1449/1

A 24°23'

B 27°46'

C 40°59'

D 58°47'

A 7y2 – 16y – 12 = 0

B 7y2 – 8y + 1 = 0

C 8y2 – 16y + 5 = 0

D 8y2 – 8y + 16 = 0

A 11m2 – 17mn – n2

B 11m2 – 37mn + n2

C 34m2 – 17mn – n2

D 34m2 – 37mn + n2

A

B

C

D

A

B

C

DA −4

B

C 6

D 4

A 2a16b

B 8a16b

C 6a16b

DA 3

B 2.5

C 6

D 5

A 0, 1, 2, 3, 4, 5

B 0, 1, 2, 3, 4, 5, 6

C 0, 1, 2, 3, 4

D 0, 1, 2, 3

Page 4: Mm paper 1

Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak

27. Diagram 27 is a pie chart which shows how Siti spend her time one day on various activities.

Diagram 17

How much more time , in hours , did she spend working compared to visiting ?

28. Given integers from 1 to 10} is prime number} is perfect square number}List all elements of set .

29. Find the - intercept of the straight line

1. Which of the following graph represents

1449/1

A x < 3

B x < –5

C x > 3

D x > –5

A 4

B 3

C 2

D 1

A {1,2,3,4,5,7,9}

B {1,2,3,5,7}

C {2,4,6,8,10}

D {6,8,10}

A 7

B -7

C3

D-3

30. Diagram 30 is an incomplete bar chart representing the number of children in a group of families in a housing area . The bar representing the families that have three children is not shown .

Diagram 30

It is given that the total number of families in the housing area is 200 .Find the percentage of families that have three children.

Others

Visiting

Sleeping Working

75 0

105 0 1200

Num

ber o

f fam

ilies

60

50

40

70

1 3 2 4 5

30

20

10

0Number of children

Page 5: Mm paper 1

Mathematics SPM (SOLAF Paper 1 Set 1) JPN Perak

32. Diagram 32 shows the graph of

Diagram 32

Find the values of and

35. Scores obtained by a group of students in a game are as follows:

4, 5, 2, 2, 3, 4, 1, 5, 3, 8

Find the median score of distribution.

36. The diagram 36 shows a straight line, MN on a artesian plane.

Diagram 36

The gradient of MN is , find the

value of k.

37. Which of the following graph

represents

38.

40.

1449/1

33. A box contains 6 red balls, 9 blue balls and a number of yellow balls. A ball is chosen at random from the box. The probability that a red ball is

chosen is . Find the probability of

choosing a yellow ball.

A

B

C

D

34. A box contains 50 marbles. There are yellow marbles and green marbles. A marble is chosen at random from the box. The probability that a green

marble is chosen is .

How many yellow marbles need to be added to the box so that the probability that a yellow marble is

chosen is ?

A 10

B 20

C 40

D 45

A

B

C 7

D 17

A

B

C

D

39.Given . Find the

value of k.

A 5

B 4

C

D -4

A

B

C

D

2

y =axn + c

2-8

M (8, k)

N(-4, -1)

y

x

y

x

5

-5

-5

y

x

y

y

x

x