SAINT PAUL’S HIGH SCHOOL, BATHINDA

(Permanently Affiliated to CISCE, New Delhi)

Name _____________________ Enrolment No. ________________ Date ______________

SECTION – A (10 Marks)

Question1. Choose the correct alternative for each of the following statements:
(0.5×10=5)
a) A principal of ₹800 amount to ₹1120 in 2 years. What is the rate of interest:
i) 2% p.a. ii) 16% p.a.
iii) 18% p.a. iv) 20% p.a.
b) Which of the following is a constant ?:
i)6 x ii) x +6
iii) 6 iv) x 6
c) To find the complement of the angle we:
i) add 90⁰ to the given angle
ii) subtract 90⁰ from the given angle
iii) subtract the given angle from 90⁰
iv) subtract the given angle from 180⁰
d) Which of the following is not a monomial:
i)5 xy ii)7 x 2 y
5
iii)20 iv)
xy
e) The selling price of ₹65 gives a profit of 30%. The cost price of article is:
i) ₹50 ii) ₹58
iii) ₹55 iv) ₹60
f) How many lines of symmetry does a circle have:
i) 1 ii) 0
iii) 360 iv) infinite
g) Angles are supplementary if their sum is:
i) 60⁰ ii)90⁰
iii) 180⁰ iv) 360⁰
h) Which of the following letters does not have reflection symmetry:
i) A ii) Y
iii) H iv) P
i) An equilateral triangle has rotational symmetry of order :
i) 1 ii) 2
iii) 3 iv) 4
2
j) The expression 5 x +3 x +10 is a :
i) monomial ii) binomial
iii) trinomial iv) none of these

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Question2.
a) Add the expression 6 a−4 b and 3 a−3 b (1)
b) Find 12% of 65 (2)
c) Find the supplement of 122⁰ (2)

SECTION - B (20 Marks)

Question1.
a) In the figure given alongside. If lines are parallel,
find the value of angle x∧ y (2)

b) Mr. Sharma saves 15% of his salary every month. If his monthly salary is ₹5000. What amount
does he save? Also finds the amount he spends. (3)

Question2.
a) Draw a line segment of 6cm and construct its perpendicular bisector. (2)
b) The ratio of angles of a triangle is 3:2:1 . Find the measure of each angle. (3)

Question3.
a) For a square , find the number of lines of symmetry and the order of rotational symmetry.
(2)
2 2
b) Simplify the expression x (1+ y −2 xy)
Also find the value of the expression for x=1 , y=2 (3)

Question4.
a) Subtract 2 x 2+3 y 2−4 z 2 from 2 z 2−3 x 2 + 4 y 2 (2)
b) Draw an angle of 90⁰ with the help of a scale and a compass. Also bisect the angle.
(3)

Question5.
a) Solve using Identities ( 2 a−3 b )2 (2)
b) Find the value of x . Also find the measure of the unknown angles. (3)

90

Question6.
a) A machine fills 390 bottles of juice in 6 hours. How much time will it take to fill 1365 bottles.
(2)
0
b) Construct a triangle with ∠ A=30 ,∠ B=50⁰ , AB=6 cm. (3)

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