1st exam-f4 2010-p1

8/2/2019 1ST EXAM-F4 2010-P1

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SMK BUKIT ASSEK, SIBU

FIRST TERM EXAMINATION

MATHEMATICS FORM 4

PAPER 1

1 HOUR 15 MINUTES

NAME: _____________________________________________ CLASS : __________

This question paper consists of 40 questions. Answer all the questions. For each question, choose only one

answer from the options, A, B, C and D. You may use a non-programmable scientific calculator.

1. Round off 0.079042 correct to three significant figures.

A 0.0790 B 0.07900

C 0.07904 D 0.079040

2. Which of the following does not produce a value of 62 500 when rounded off to three significant

figures?

A 62 548 B 62 509

C 62 550 D 62 462

3. Express 2.003 × 10-8 as a single number.

A 0.00000002 B 0.00002003

C 0.000002003 D 0.00000002003

4. 6 000 000 × 0.09 =

A 5.4 × 106 B 5.4 × 105

C 5.4 × 104 D 5.4 × 10-3

5.8107

0042.0

−×=

A 6 × 10-12 B 6 × 10-8

C 6 × 102 D 6 × 104

6. Simplifynm

nm

+− 22 22

A m – n B 2m – n

C 2 ( m – n ) D 2 ( m + n )

7. 14 x2 – ( 2 x – 1 ) ( 3 + 5 x ) =

A 14 x2 + 3 x – 3 B 14 x2 + 3 x +3

C 4 x2 – x + 3 D 4 x2 + x – 3

8. A pump has a pumping capacity of 500 litre per hour. If it is to be used to empty a pond containing

of 15000 litres of water, find the time needed to empty the pond.

A 0.03 hour B 5 hours C 30 hours D 45 hours

9. Which of the following points does not lie on the line y = 6 x – 2 x2 ?

A ( 0, 0 ) B ( 1, 5 ) C ( 2, 4 ) D ( 3, 0 )

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10. The diagram below shows a cylinder with the volume of 3.5 × 103 cm3, and base area of 1.29

× 102 cm2.

The height, in cm, of the cylinder is

A 2.71 × 10-1 B 2.71 × 101

C 3.37 × 10-3 D 3.37 × 103

11. Roslan bought 13.6 kg of mutton from the market. Round off the weight of mutton correct to one

significant figure.

A 10 kg B 11 kg C 13 kg D 20 kg

12. Calculate 39.3 ÷ 4.2 × 0.005 and round off the answer correct to two significant figures.

A 0.04 B 0.046 C 0.047 D 1900

13. Factorise 9 x 2 – 24 x – 9 perfectly.

A ( 3 x + 1 )( x + 3 ) B ( 3 x2 – 3 )( 1 – 8 x )

C 3 ( 3 x + 1 )( x – 3 ) D 3 ( 3 x – 1 )( x + 3 )

14. In the figure, XYZ is a straight line.

Find the value of 2 y.

A 80o B 120o C 160o D 170o

15. Given that 125 – 5 x2 = a ( 5 – x )( b + x ), state the value of a and b.

A a = - 5, b = 5 B a = 1, b = 25

C a = 5, b = - 5 D a = 5, b = 5

16. Evaluate x2 + 4 x + 9 if x = -1

A 14 B 12 C 9 D 6

17. ( p – m )2 – ( p2 + m2 ) =

A 0 B - 2 pm C - 2m2 D - 2m2 – 2 pm

18. Which mathematical statement below able to form a quadratic expression?

A ( 8a + 5b ) + ( 4a + 3b ) B 3h – 7h + h – 4h

C ( 6 x – 8 ) ( 8 y – x ) D ( 9 – 5w ) ( 3 – 2w )

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19. Given A = {Multiples of 4 less than 28}. Which of the following is not true ?

A {4, 8}⊂ A B {4, 8, 12}⊂ A

C {4, 8, 12, 16, 20, 24} ⊂ A D {4, 8, 12, 16, 20, 24, 28} ⊂ A

20. Given P = { numbers with three digits can be divided perfectly by 6}. Which of the following is the

element for set P ?

A 138 B 212 C 296 D 506

21. A factory can produce more than 500 dolls a day. Given that the daily production of the doll is x,

contruct an inequality for x for the factory's weekly doll production.

A x ≤ 3500 B x < 3500 C x > 3500 D x ≥ 3500

22. Given set P = {a, b, c, d }. Number of subsets for set P is

A 10 B 12 C 14 D 16

23. Solve the following simultaneous equations: 2 x + 3 y = 65 and 3 x + 2 y = 35

A x = - 2, y = 23 B x = - 3, y = 22C x = - 5, y = 25 D x = 4, y = 19

24. From the figure, P'Q'R'S' is the image of PQRS under a certain enlargement.

Find the scale factor of the enlargement.

A 2 B 3 C 6 D 9

25. Which one of the following is not a Quadratic Expression?A 4 x2 + 1 B 3k – 2k 2

C 10 – 7 pq + p2 D 15w2 + 20w + 40

26. Given that PRT = 100, find the value of P when R = 10 and T = 5.

A 0 B 1 C 2 D 5

27.e

e

−−

5

52–

−−

e

e

5

5=

Ae

e

−5

2B

e

e

−−

5

102C

e

e

−−

5

103D - 2

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28. The figure shows a solid cone with a base radius of 14 cm and a height of 30 cm

Find the volume of protion B, if the portion A with a base radius of 7 cm and a height of 9 cm is

removed from the solid cone? (Take7

22=π ).

A 770 cm3 B 1540 cm3

C 4312 cm3 D 5698 cm3

29. Factorise 3 x2 – 11 x + 6

A ( 3 x – 2 ) ( x + 3 ) B ( 3 x – 2 ) ( x – 3 )

C ( 3 x + 2 ) ( x – 3 ) D ( 3 x + 2 ) ( x + 3 )

30. ( 81 x2 y3 )3 ÷ ( 27 xy2 )3 =

A 27 xy3 B 27 ( xy )3 C 27 x3 y D 27 x5 y5

31. From the figure, O is the centre of a circle.

Find the value of x.

A 15o B 25o C 45o D 90o

32. In the figure, O is the centre of the circle.

Find the value of y.

A 30o B 60o C 90o D 120o

33. A car is travelling at ( x + 20 ) ms-1. How many metres had the car travelled if it continued for

another ( 2 x – 1 ) seconds, at the same speed?

A ( x + 20 ) – ( 2 x – 1 ) B ( x + 20 ) + ( 2 x – 1 )C ( x + 20 ) ( 2 x – 1 ) D

12

20

−+

x

x

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34. Given that ( x – a )2 = x2 – 8 x + 16, find the value of a.

A - 4 B 2 C 4 D 8

35. The table shows the number of students who visited the school library in a week.

If the data is to be represented by a pie chart, find the angle of sector for the number of students who

visited the library on Thursday.A 12.5o B 40o C 45o D 61.88o

36. If the mean weight for 25 students is 42 kg, determine the total weight for this group of students.

A 25 kg B 42 kg C 1050 kg D 2542 kg

37. Find the value of a in the diagram below.

A 41o B 49o C 55o D 94o

38.

The above table shows the number of periods a student has to attend in a school from Monday to

Friday. If there are altogether 48 periods, find the value of y.

A 10 B 12 C 13 D 15

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Day Mon Tue Wed Thu Fri Number Of

Periods

11 y 9 10 8

8/2/2019 1ST EXAM-F4 2010-P1


39.

The above figure is drawn on a Cartesian plane. Figure P' is the image of figure P under a

translation represented by

A

−−

8

4B

2

8C

−

2

8D

−−

2

8

40.

In the above diagram, S, T and U are the vertices of a triangle. Given that the distance of TU is

three times the distance of ST, find the coordinates of U.

A ( 7, 6 ) B ( 7, 5 ) C ( 7, - 10 ) D ( 7, -6 )

Prepared by, Checked by, Checked by, Certified by,

________________ ___________________ __________________ __________________

( LEE KUOK ING ) NURHAFIZA ISMAIL) ( LING MEE YAO ) (SOON SHU CHING)

MEI 2010

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1st exam-f4 2010-p1

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