Panitia Matematik@2015ULANGKAJI PEPERIKSAAN PERTENGAHAN TAHUN

SBP INTEGRASI GOMBAK

SET 2

1. Round off 84354 correct to three significant figures.

A 843 C 84300B 844 D 84400

2. Express as a single number.

A 0.04728 C 47.28B 0.4728 D 472.8

3.

A CB D

4. Express 0.000576 in standard form.

A CB D

5. Diagram below shows a pentagon PQRST. Straight line RS is parallel to straight line UPT.

Find the value of x + y.

A 216 C 250B 222 D 260

6. In the diagram below, JKLMN is a pentagon. PKJ is a straight lines.

PK = PQ. Find the value of x.

A 30 C 72B 36 D 80

7. Given that cos x°= - 0.7321 and 180° ≤ x ≤ 360°. Find the vakue of x.

A 222.94° C 312.94°B 227.06° D 317.06°

8. In the diagram below, SML and NMR are straight lines.

Given that x + y = 210°. Find the value of z.

A 110 C 165B 125 D 205

9. In the diagram below, JKL is a tangent to the circle with centre O, at K.

Find the value of x + y.

A 70 C 100B 80 D 140

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Panitia Matematik@201510.

Express as a single fraction in its

simplest form.

A C

B D

11. In the diagram below, point Q undergoes a rotation of 180° about centre (0,1).

The coordinates of the image of point Q under that rotation is

A (-2,-5) C (5,-2)B (-5,-2) D (-2,5)

12. Under an enlargement, area of an object is 63 cm2 and the area of its image is 7 cm2 . Find the scale factor of the enlargement.

A 3 C 9B D

13.

A CB D

14.

A CB D

15. In the diagram below, KLM is a straight line.

Given that tan , find the value of tan y°.

A C

B D

16. Which of the following graph representsy = cos x° ?

A

B

C

D

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Panitia Matematik@201517. Pictograph below shows the number of cars sold

in January 2012. The number of Camry sold are not shown.

Vios sold is 50% of total sales in the month. Find the number of Camry sold on January 2012.

A 20 C 40B 30 D 60

17. Diagram below shows a pictogram which shows the sales of mineral water in May. The sales for June and July are not shown.

The sales of mineral water in May, June and July are in the ratio 2 : 1 : 5. Find the difference in number of bottles of mineral water sold between Jun and July.

A 1152 C 3456B 2304 D 4608

18. Diagram below shows five points plotted on a Cartesian plane.

Which of the points A, B, C or D is the image of point W under an anticlockwise rotation of 90° about the centre (5,3)?

19. Given that , express n in terms of m.

A C

B D

20.can be written as

A C

B D

21. Simplify :

A CB D

22.Given , calculate the value of

p.

A -4 C 3B -3 D 4

23.Given that , calculate the value of k.

A C

B D

24. Find the solution for

A C

B D

25. Diagram below is a Venn diagram showing the elements of the universal set, , set E and set F.

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Panitia Matematik@2015

List all the elements of set ( .

A {t , x} C {t, u, v, x, y}B {t , x, y} D {u, v, w, y, z}

26. Given :Universal set, = {x : 11 is an integer}Set P = {x : x is a factor of 24}Set Q = {x : x is a factor of 48}Which statement is true?

A CB D

27. The Venn diagram below shows the number of elements in set P, set Q and set R.

It is given that the universal set, and . Find the value of

A 5 C 9B 7 D 11

28. Diagram below is a Venn diagram showing the number of elements in sets K, L and M. Given that and = .

The value of x is

A 4 C 7B 5 D 9

29. It is given that the universal set, , and . Which Venn diagram

represents these relationship?

A

B

C

D

30. Diagram below shows a straight line PQ with equation 4y = kx + 36, where k is a constant.

It is given that OP : OQ = 4 : 3. Find the value of k.

A -3 C 2B -2 D 3

31. Diagram below shows two straight line, PQ and QR, on a Cartesian plane.

It is given that the gradient of PQ is 5 and the distance of QR is 17 units. Find the x-intercept of line QR.

A 8 C 12B 10 D 15

32.The gradient of a straight line is and the

y-intercept is -20. Find the x-intercept.

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Panitia Matematik@2015A -25 C 16B -16 D 25

33. Given that the straight line y = 3x + 5 is parallel to the straight line 2y + kx = 8. Find the value of k.

A -6 C 3B -3 D 6

34. Table below shows the distance, in km, between the students’ houses and their school for a group of 500 students.

A student is chosen at random from the group. Find the probability that the distance between their houses and the school is less than 1 km.

A C

B D

35. There are 45 red T-shirts and a number of yellow T-shirts in a box. The probability that a yellow T-

shirt is chosen at random from the box is . How

many yellow T-shirts are there in the box?

A 25 C 36B 30 D 48

36. An envelope contains of four blue cards, three red cards and several black cards. A card is chosen at random from the envelope. The

probability of choosing a red card is . Find the

number of black cards.

A 5 C 12B 7 D 21

37. Table below shows the scores of a group of pupils in a Physics quiz.

The mode score is

A 1.3 C 2B 1.5 D 4

38. Diagram below is a bar chart showing the number of medals obtained by a Sekolah Seri Aman in a sport championship in the year 2010.

If pie chart is drawn to represent the given information, calculate the angle sector which represent the bronze medal.

A 180° C 150°B 140° D 160°

39. Diagram below is a pie chart shows the number of members in three society in SMK Bestari Indah. The members of Science & Mathematics Society are 45 students and the members of English society are 50 students.

Find the number of students in Robotic society.

A 10 C 25B 15 D 30

1. The Venn diagram in the answer space shows sets P, Q and R such that the universal set,

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Panitia Matematik@2015. On the diagrams in the answer space, shade the set

[3 marks]a)

b)

2.Solve the quadratic equation .

[4 marks]

3. Calculate the values of x and y that satisfy the following simultaneous linear equations :

[4 marks]

4. Diagram below in the answer space shows a right prism. The base EFGH is a horizontal rectangle. Trapezium ELFK is the uniform cross section of the prism.

a) On the diagram in the answer space, mark the angle between the line KG and the base EFGH.

b) Hence, calculate the angle between the line KG and the base EFGH.[3 marks]

5. a) Complete the following statement using the quantifier “all” or “some”, to make it a true statement.

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Panitia Matematik@2015

………………multiples of 12 are multiples of 6

b) State the converse of the following statement and hence determine whether its converse is true or false.

If y > -10, then y > -13.

c) Write down Premise 2 to complete the following argument :

Premise 1 : If RSTU is a cyclic quadrilateral, then .Premise 2 : ………………………………………………………………………………….Conclusion : RSTU is not a cyclic quadrilateral.

[5 marks]

6. In the diagram below, UV parallel to WO and O is the origin.

Find

a) the equation of straight line UV.

b) the y-intercept of the straight line UV.[5 marks]

7. In diagram below, OPQR is a sector of a circle with centre O. SOTR is a semicircle with centre S. Use

and give the answer correct to two decimal places.

Calculate

a) the area, in cm2, of the shaded region.

b) the perimeter, in cm, of the shaded region.[6 marks]

8. Diagram below shows the remaining solid after a cylinder is removed from a cube. The diameter of the cylinder is 7 cm and the height of the cylinder is 9 cm.

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Panitia Matematik@2015

Using , calculate the volume, in cm3 of the remaining solid.

[4 marks]

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