Review Exercise 20 Objective)

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REVISION EXERCISE 20

Objective Questions

1. Which of the following shows thex-axis, they-axis and the origin Mon a Cartesian

plane correctly?

A

B

C

D

2. Which of the following statements is correct?

A The distance of the point (3, 7) from thex-axis is 3 units.B The distance of the point (5, 2) from they-axis is 2 units.

C The distance of the point ( 4 , 10) from they-axis is 10 units.

D The distance of the point (12, 14) from thex-axis is 14 units.

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1


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3. The point that is at a distance of 12 units from they-axis is

A (6, 12)B (12, 0)

C (8, 12)

D (10, 12)

4. The distance of a pointPfrom they-axis is 6 units. Which of the following are not

the coordinates ofP?A (6, 1)

B (6, 4)

C (4, 6)

D (6, 0)

5. Which of the following is not correct?

A

B

C

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR

Poin

t

Distance from the

x-axis y-axis

(8,

13)

13

units8 units

(3,7)

7 units 3 units

(

11,

1)

1 unit 11 units

(0,

4)0 unit 4 units

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D

6. The coordinates of points A, B, C and D are (3, 0), (4, 3), (2, 3) and (2, 4)

respectively. Which of the point A, B, C orD is not marked correctly?

7. The pointsL, MandNhave coordinates (2, 4), (3, 3) and (2, 3) respectively.

Which of the following Cartesian planes shows that the pointsL, MandNare markedcorrectly.

A C


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10. The diagram shows a Cartesian plane.

Which of the following scales is correct?

A


x y-axis

1 : 2 1 : 2

1 : 2 2 : 1

2 : 1 1 : 2

2 : 1 2 : 1

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B

C

D

11. The diagram shows four pointsP, Q, R and Ton a Cartesian plane.Which of the following is not correct?

A The scale on thex-axis is 1 : 1 and the scale on they-axis is 1 : 2.B The coordinates of the pointPare (4, 0).

C The coordinates of the point Q are (0, 8).D They-coordinates of the pointsR and Tare the same.

12. In the diagram,P, Q andR are three verticesof a parallelogramPQRS. The vertex Shascoordinates


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A (0, 30)

B (4, 24)

C (8, 30)

D (12, 24)

13. The coordinates of pointPand point Q are (7, 8) and (11, 8). The distance

between the two points is

A 4 units

B 8 unitsC 18 units

D 19 units

14. The distance between the following pairs of points is 12 units except

A ( 4 , 3) and (8, 3)

B (1, 5) and (1, 7)

C (7, 4 ) and (7, 16)

D (0, 18) and (0, 6 )

15. The straight line joining the points (5, m) and (9, 8) is parallel to thex-axis. Thevalue ofm is

A 9B 8

C 5

D 8

16. The distance between the point V(2, 6 ) and the point W(14, 10) isA 15 units

B 20 units

C 24 units

D 25 units

17. Which of the following pairs of points has a distance of 13 units?

A (8, 2) and ( 4 , 3)

B (1, 4) and (5, 5)

C (9, 8) and (1, 8)

D (5, 7) and ( 4 , 7)


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18. In the diagram, MandNare two points on a Cartesian plane. Find the distancebetween point Mand pointN?

A 20 units

B 24 units

C 25 units

D 32 units

19. In the diagram,PQR is an isosceles triangle such thatPQ =PR and QR is parallel to

they-axis. The value ofkis

A 7

B 6

C 5

D 4

20. The distance between pointFand pointNis 10 units. Which of the following is notcorrect?


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A

B

C

D

21. In the diagram,FJMSis a parallelogram. The area, in units2, of the parallelogramFJMSis

A 18

B 24

C 28

D 36

22. H(9, 4 ) andK(3, 2) are two points. The coordinates of the midpoint of HK are

A (1, 3)

B (3, 1)

C (3, 2)


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D (6, 2)

23. Which of the following pairs of points has the midpoint (2, 3)?

A ( 4 , 3) and (0, 3)

B (2, 6) and (2, 6)C (2, 0) and (0, 3)

D (4, 3) and (0, 3)

24. Given that (1, 1) is the midpoint of the straight line joining the point (r, 3) and thepoint (3,s). The value ofrs is

A 7

C 4

C 5

D 1

25. The diagram shows a straight linePQ. If (f,g) is the midpoint ofPQ, thenf+gis

A 5

B 10

C 12

D 15

26. The coordinates of the midpoint of a straight linePQ are (6, 1). If the coordinates ofthe point Q are (5, 3), then the coordinates of the pointPare

A (17, 5)

B (15, 4 )

C (14, 7)

D (12, 5)

27. Points U(5, 8), V(9, 14) and S(x, y) lie on a straight line such that US= SV. The valueofx y is

A 24

B 77

C 154

D 308

28. Which of the following straight lines does not have the midpoint (4, 2)?


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A B

C D

Questions 29 and 30 are based on the diagram below.

PQRSis a square drawn on a Cartesian plane.

29. The coordinates of the midpoint of the diagonalPR are

A (4, 6) B (5, 5)

C (6, 6) D (6, 5)

30. The coordinates of the vertex Sare

A (10, 8) B (12, 8)

C (13, 7) D (14, 6)


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Review Exercise 20 Objective)

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