paper 1 solid geometry
TRANSCRIPT
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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
circle with centre O.
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
5. The diagram below shows O is the centre of the
circle. PQR is the tangent to the circle at the Q andSTP is a straight line.
Find the value of z.
A 300
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SMK SERI TANGKAK
FORM 4 MATHEMATICS
CHAPTER 8 CIRCLE III
NAME ;__________________ FORM
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B 450
C 900
D 1800
6. The diagram below shows O is the centre of the
circle.
Given that OS = OT, the value of z is
A 500
B 650
C 750
D 1300
7. The diagram below shows O is the centre of the
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
8. The diagram below shows O is the centre of the
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.
Find the value of z.
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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.
Find the value of y.
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
19. The diagram below shows ST is a tangent to the
circle with the centre O, at S. TUV is a straight
line.
Find the value of x.
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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Find the value of x.
A 250
B 300
C 400
D 500
21. The diagram below shows PQ is a tangent to the
circle at Q.
Find the value of z.
A 750
B 800
C 1000
D 1200
22. The diagram below shows HI is a tangent to thecircle at I.
Find the value of x.
A 150
B 450
C 600
D 850
23. The diagram below shows KML is a tangent to the
circle MNOP.
Find the value of x.
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
circle with centre O.
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.
Find the value of z.
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
29. The diagram below shows O is the centre of the
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.
Find the value of z.
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
34. The diagram below shows HJ is a tangent to the
circle, centre O, at H.
Find the value of x.
A 300
B 400
C 450
D 550
35. The diagram below shows IJ is a tangent to the
circle at I.
Find the value of y.
A 300
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B 450
C 600
D 750
36. The diagram below shows HJ is a tangent to the
circle at H.
Find the value of x.
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.
Find the value of x.
A 350
B 700
C 1050
D 1100
39. The diagram below shows GH is a tangent to the
circle, centre O, at G.
Find the value of x.
A 250
B 350
C 700
D 750
40. The diagram below shows PQ is a tangent to the
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.
Find the value of x.
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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.
Find the value of y.
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.
Find the value of x.
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.
Find the value of x.
A 150
B 300
C 600
D 650
48. The diagram below shows ST is a tangent to the
circle at S and TUV is a straight line.
Find the value of x.
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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Find the value of x.
A 450
B 500
C 550
D 650
50. The diagram below shows PQ is a tangent to the
circle QST.
Find the value of y.
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.
Find the value of x.
A 100
B 150
C 200
D 500
52. The diagram below shows EFG and GHI are
tangents to the circle FJKHL.
Find the value of x and y.
A x = 250, y = 1200
B x = 250, y = 1050
C x = 350, y = 1050
Dx = 35
0
, y = 120
0
53. The diagram below shows O is the centre of the
circles QSR. PR is the tangent to the circle at point
R.
Find the value of x.
A 400
B 980
C 2280
D 2400
54. The diagram below shows O is the centre of the
circle JFHI. EFG is a tangent to the circle at point
F. FKO, JKH and OHG are straight lines.
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Find the value of x and y.
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.
Find the value of x and y.
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.
Find the value of x and y.
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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