Mathematics
Class-X
2015-2016
ASSESSMENT SHEET
Q. 1. In the given figure, PQ is a diameter of the circle whose centre is O. Given
Calculate
Q. 2. In the given diagram a chord ED is parallel to the diameter AC of the circle ABCDE. If
Calculate
.
Q. 3. In the given figure,
i.
ii.
Q. 4. In the above figure, O is the centre of the circle.
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Calculate
calculate the value of
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Mathematics
Class-X
2015-2016
Q. 5. In the given figure, A, B, C, D lie on a circle with centre O. Arc AB = 2 Arc BC. Calculate
i.
ii.
iii.
Q. 6. In the given figure; AC is the diameter of the circle with centre O. CD and BE are parallel,
Calculate
i.
ii.
iii.
Q. 7. In the adjoining figure, AD is diameter of the circle with centre O. OB is parallel to DC and
. Calculate the numerical value of
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Mathematics
Class-X
i.
ii.
2015-2016
and
iii.
Q. 8. C is point on the minor arc AB of the circle with centre O.
express q in terms of p. Calculate p if ACBO is a parallelogram.
Q. 9. In the given diagram,
Calculate
i.
ii.
iii.
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Mathematics
Class-X
2015-2016
Q. 10. In the given diagram AD is a diameter of the circle ABD. Chords AB and CD meet at P,
Find the angle
Q. 11. In the figure given, ABCD is a cyclic quadrilateral in which
Calculate
i.
ii.
iii.
Q. 12. In the adjoining diagram, AB is a diameter of the circle whose centre is O. Given that
calculate
i.
ii.
Q. 13. In the adjoining diagram, O is the centre of the circle. If
p, q and r.
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, find the value of
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Mathematics
Class-X
2015-2016
Q. 14. ABCD is a cyclic quadrilateral in which
Find
i.
ii.
iii.
Q. 15. In this figure, AD is the diameter of the circle. If
i.
ii.
Q. 16. In the figure, O is the centre of the circle.
to TZ. Find giving reason
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, calculate
and XY is parallel
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Mathematics
Class-X
i.
ii.
iii.
Q. 17. ABCD is a cyclic quadrilateral;
2015-2016
AD = DC. Calculate
i.
ii.
iii.
Q. 18. O is the centre of the circle; A, B and C are points on the circumference.
i.
ii.
If x = 600, calculate y
State the general equation relating x and y.
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Mathematics
Class-X
2015-2016
Q. 19. O is the centre of the circle and BOC is a diameter. Write down the value of the angle
AOC.
Q. 20. In the figure, O is the centre of the circle. Calculate the angles
i. DOE
ii. DBE
iii. ABD.
Q. 21. In the given circle with diameter AB, find the value of x.
Q. 22. In the given figure, AB is a diameter of the circle. Find
for your answer.
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Given reasons
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Mathematics
Class-X
2015-2016
Q. 23. In the adjoining figure, AC is the diameter of a circle with centre O. Chord BD is
perpendicular to AC. Write down the angles p, q, r in terms of x.
Q. 24. In the given figure, O is the centre of the circle. If
Q. 25. In the given figure, O is the centre of the circle. If
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Mathematics
Class-X
2015-2016
Q. 26. In the given figure, O is the centre of the circle, AOB is a diameter. If
Q. 27. In the given figure, O is the centre of a circle and ABE is a straight line. If
Find:
,
i.
ii.
iii. The value of x.
Q. 28. In the given figure, AB and CD are two parallel chords of a circle. If BDE and ACE are
straight lines, intersecting at E, prove that
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isosceles.
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Mathematics
Class-X
2015-2016
Q. 29. In the given figure, the two circles intersect at P and Q. If
calculate
i.
ii.
Q. 30. In the adjoining figure, AB = AC = CD,
, calculate
i.
ii.
Answers
1. 690
2. 270
3. (i) 760
(ii) 280
4. 480
5. (i) 540
(ii) 270
(iii) 1260
6. (i) 500
(ii) 1000
(iii) 300
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Mathematics
Class-X
2015-2016
7. (i)900
(ii) 300
(iii) 600
8. (i) q0 = 3600 – 2p0, p = 1200
9. (i) 500
(ii) 900
(iii) 400
10. 300
11. (i) 270
(ii) 830
(iii) 700
12. (i) 640
(ii) 640
13. p = 1500, q = 600, r = 300
14. (i) 300
(ii) 1050
(iii) 470
15. (i) 500
(ii) 400
16. (i) 250
(ii) 250
(iii) 500
17. (i) 500
(ii) 1300
(iii)250
18. (i) 2400
(ii) y = 3600 – 2x
19. 1140
20. (i) 1100
(ii) 250
(iii) 350
21. 600
22. 2700
24. 500
23.
25. 950
26. 400
27. (i) 550
(ii) 1250
(iii) 2500
29. (i) 1000
(ii) 960
30. (i) 700
(ii) 400
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Mathematics
Class-X
Sudheer Gupta .
2015-2016
Be positive and constructive. 
Page 12