Paper 1 solid geometry

8/3/2019 Paper 1 solid geometry

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1. The diagram below shows a circle with centre O.

Among the straight line E, F, G and H which is the

tangent to the circle?

A E

B FC G

D H

2. The diagram below shows PQ is a tangent to the

circle with centre O.

Find POQ .

A 280

B 380

C 420

D 900

3. The diagram below shows ST is a tangent to the


Find TSO .

A30

0

B 600

C 900

D 1200

4. The diagram below shows O is the centre of the

circle. EFG is the tangent to the circle at the F and

JKG is a straight line.

Given that FK = KG, find JFK .

A 400

B 450

C 600

D 900


circle. PQR is the tangent to the circle at the Q andSTP is a straight line.

Find the value of z.

A 300

1

SMK SERI TANGKAK

FORM 4 MATHEMATICS

CHAPTER 8 CIRCLE III

NAME ;__________________ FORM


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B 450

C 900

D 1800


circle.

Given that OS = OT, the value of z is

A 500

B 650

C 750

D 1300


circle QST. PQR and RTU are the two tangents to

the circle at point Q and point T respectively.

Find the value of y.

A 1220

B 1320

C 2260

D 2280


circle QRS. PQ is the tangent to the circle.

The value of x is

A 250

B 650

C 900

D 1200

9. The diagram below shows EFG is a tangent to the

circle with centre O, at point F.

The value of y is

A 430

B 570

C 900

D 1140

10. The diagram below shows PR and PS are tangents

to the circle with centre O.

Find the value of x and y.

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A x = 920, y = 570

B x = 1140, y = 570

C x = 1140, y = 680

D x = 1360, y = 680

11. The diagram below shows a circle with centre O.

PT is a tangent to the circle at P.

If the length of PT is 4 times the radius, tan

OTP is

A

16

1

B

4

1

C

3

1

D 4

12. The diagram below shows the tangent ET touches

the circle EFGH with centre O at E. OFT is a

straight line.

The value of y is

A 150

B 250

C 300

D 500

13. The diagram below shows the tangent PG touches

the circle PQRS with the centre O at P. OQG is a

straight line.

The value of z is

A 500

B 750

C 1050

D 1200

14. The diagram below shows EFG is a tangent to thecircle, centre O, at F.

The value of n is

A 200

B 500

C 600

D 1100

15. The diagram below shows PQR is a tangent to the

circle with the centre O, at Q. TOSR is a straight

line.


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A 200

B 250

C 300

D 350

16. The diagram below shows HJ is a tangent to the

circle at point J.


A 300

B 500

C 600

D 700

17. The diagram below shows EF is a tangent to the

circle at point F.

Find the value of x.

A 400

B 600

C 800

D 1000

18. The diagram below shows KLM is a tangent to the

circle with the centre O, at L. QOPM is a straight

line.

Find the value of h.

A 250

B 400

C 650

D 1400


circle with the centre O, at S. TUV is a straight

line.


A 300

B 500

C 600

D 800

20. The diagram below shows a circle EGH with centre

O. EF is a tangent to the circle at E and FGH is a

straight line.

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A 250

B 300

C 400

D 500


circle at Q.


A 750

B 800

C 1000

D 1200

22. The diagram below shows HI is a tangent to thecircle at I.


A 150

B 450

C 600

D 850

23. The diagram below shows KML is a tangent to the

circle MNOP.


A 500

B 550

C 600

D 650

24. The diagram below shows tangent PQR touches thecircle QSTU at point Q.

The value of z is

A 300

B 650

C 950

D 1150

25. The diagram below shows a circle with centre O

and diameter POQ. QRS is a tangent to the circle at

point Q. PTR and OTS are straight lines.

Find QSO .

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A 50

B 150

C 250

D 450

26. The diagram below shows STU is a tangent to the


The value of z is

A 350

B 550

C 700

D 750

27. The diagram below shows a tangent EFG to the

circle FPQR at point F.


A 250

B 350

C 500

D 600

28. The diagram below shows QPR is a tangent to thecircle MNOP.

Given that PM = OM, then the value of z is

A 500

B 800

C 1000

D 1300


circle EFGH. UHV is the tangent to the circle.

Find the value of y - x.

A 750

B 800

C 900

D 950

30. The diagram below shows a circle NPQ. MNO is a

tangent to the circle at point N and OPQ is a

straight line.

Given that NQ = PQ, find the value of x.

A 180

B 420

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C 480

D 690

31. The diagram below shows QR is a tangent to the

circle with centre O. POSR is a straight line.


A 150

B 200

C 350

D 500

32. The diagram below shows JK is a tangent to thecircle with centre O. KOM is a diameter of the

circle and JNOL is a straight line.

The value of x is

A 300

B 400

C 500

D 600

33. The diagram below shows tangent STR touches the

circle with centre O, at T. PQR is a straight line.

The value of y is

A 150

B 250

C 400

D 750


circle, centre O, at H.


A 300

B 400

C 450

D 550

35. The diagram below shows IJ is a tangent to the

circle at I.


A 300

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B 450

C 600

D 750


circle at H.


A 400

B 550

C 650

D 850

37. The diagram below shows two circles with centre E

and F respectively.

State the number of common tangents of the

circles.

A 0

B 1

C 2

D 3

38. The diagram below shows HI is a tangent to the

circle, centre O, at I.


A 350

B 700

C 1050

D 1100

39. The diagram below shows GH is a tangent to the

circle, centre O, at G.


A 250

B 350

C 700

D 750


circle at point P.

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Find the value of k.

A 200

B 350

C 750

D 1050

41. The diagram below shows two circles with centreO and P. GHI is a common tangent to the circles.

OHP is a straight line.

Given that HPI = 65 . Find the length of GH in

cm.

A 15

B 20

C 26

D 36

42. The diagram below shows STU and VWU are two

common tangents to the two circles, with the

centres at O and P respectively.

The value of x + y + z is

A 900

B 1500

C 1800

D 3600

43. The diagram below shows the circle with the centreE touches the circle with the centre F at point I. HG

is the common tangent to the two circles.

Given that EI = 4cm and IF = 6cm, the length, in

cm, of HG is

A 5.7

B 8.0

C 9.2

D 9.8

44. The diagram below show GH is a tangent to the

circle at point G. HIJ is a straight line.


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A 350

B 650

C 1000

D 1050

45. The diagram below shows EF is a tangent to the

circle at point E. FGH is a straight line.


A 400

B 600

C 800

D 1000

46. The diagram below shows HI is a tangent to the

circles, centre O at point H.


A 350

B 450C 550

D 650

47. The diagram below shows ST and TU are tangents

to the circle with the centre O, at S and U

respectively.


A 150

B 300

C 600

D 650


circle at S and TUV is a straight line.


A 300

B 400

C 450

D 750

49. The diagram below shows ST and TU are tangents

to the circle with the centre O, at S and U

respectively.

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A 450

B 500

C 550

D 650


circle QST.


A 350

B 450

C 600

D 700

51. The diagram below shows EFG is a tangent to the

circle FHK at point F and KHG is a straight line.


A 100

B 150

C 200

D 500

52. The diagram below shows EFG and GHI are

tangents to the circle FJKHL.


A x = 250, y = 1200

B x = 250, y = 1050

C x = 350, y = 1050

Dx = 35

0

, y = 120

0


circles QSR. PR is the tangent to the circle at point

R.


A 400

B 980

C 2280

D 2400


circle JFHI. EFG is a tangent to the circle at point

F. FKO, JKH and OHG are straight lines.

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A x = 300, y = 800

B x = 300, y = 600

C x = 400, y = 600

D x = 400, y = 800

55. The diagram below shows EFG is the tangent to the

circle FHI with the centre O, at F.


A x = 360, y = 540

B x = 360, y = 480

C x = 420, y = 480

D x = 420, y = 540

56. The diagram below show a circle PQT with the

centre O. RSTU is the tangent to the circle.


A x = 1420, y = 140

B x = 1420, y = 180

C x = 1440, y = 140

D x = 1440, y = 180

57. The diagram below shows MNO is a tangent to the

circle NPOR at point N.

Given that NSQ is the diameter of the circle, find

the value of x + y.

A90

0

B 1230

C 1470

D 1800

58. The diagram below shows EFG and EJ are the

tangents to the circle FHIJ.

Find the value of x + y + z.

A 1120

B 1250

C 1270

D 1820

59. The diagram below shows GHO and FEO are thecommon tangents to the circles with centres M and

N.

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Given that MG = 12 cm, NH = 8 cm, FE = 20 cm

and HO = 15 cm. Find the perimeter, in cm, of the

quadrilateral MNHG.

A 55.4

B 57.4

C 60.4

D 70.4

60. The diagram below shows two circles with centres

O and E respectively. FGH and HIJ are twocommon tangents to the two circles.

Calculate the perimeter of the quadrilateral EFHJ incm.

A 58.02

B 160.12

C 194.14

D 200.14

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Paper 1 solid geometry