KENDRIYA VIDYALAYA SANGATHAN
VARANASI REGION
SAMPLE QUESTION PAPER
TERM II SESSION: 2021- 2022
CLASS: VII SUBJECT: MATHEMATICS
TIME: 2 HOURS MAXIMUM MARKS: 40
GENERAL INSTRUCTIONS:
1. THIS QUESTION PAPER CONSISTS OF 4 SECTIONS.
2. SECTION A AND B CONSISTS OF MULTIPLE-CHOICE QUESTIONS OF 1 MARK EACH.
3. SECTION C AND D CONSISTS OF 1 MARK, 2 MARK AND 3 MARKS QUESTIONS.
SECTION A (1x 10 = 10 MARKS)
Q.1: The additive inverse of is:
(a) 1 (b) 0 (c) - (d)
Q.2: The multiplicative inverse of is:
(a) 1 (b) 0 (c) any number (d) none of these
Q.3: Find x such that = :
(a) – 5 (b) – 40 (c) any number (d) none of these
Q.4: Find the value of 𝑥 ∶
(a) 6 (b) – 6 (c) 1 (d) none of these
Q.5: Find the value of (- 6) ÷ :
(a) – 9 (b) 9 (c) – 4 (d) none of these
Q.6: Express 256 as a power 4:
(a) 4 (b) 2 (c) 4 (d) none of these
Q.7: Which one is greater?
(a) 2 (b) 3 (c) 1 (d) 4
Q.8: The value of ( − 1) is:
(a) – 1 (b) 1 (c) 0 (d) none of these
Q.9: The value of 3 is:
(a) 0 (b) 3 (c) 1 (d) none of these
Q.10: Express (2𝑎) in exponential form:
(a) 4𝑎 (b) 16𝑎 (c) 2𝑎 (d) 8𝑎
SECTION B (1 x 10 = 10 MARKS)
Q.11: Which of the followings has both horizontal as well as vertical line of symmetry ?
(a) S (b) A (c) U (d) H
Q.12: Number of lines of symmetry a triangle does not have:
(a) 1 (b) 2 (c) 3 (d) 0
Q.13: Find the number of lines of symmetry are in a square?
(a) 1 (b)2 (c) 3 (d)4
Q.14: The order of the rotational symmetry of the following figure Is:
(a) 1 (b) 2
(c) 4 (d) 6
Q.15: Find the number of lines of symmetry in the following figure:
(a) 1 (b) 2
(c) 3 (d) 4
Q.16: Two cubes of dimensions 2 cm x 2 cm x 2 cm are placed side by side, the
length of resulting cuboid is:
(a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm
Q.17: The vertical cut of a brick will show the cross section is:
(a) Rectangle (b) Pentagon (c) Triangle (d) None of these
Q.18: The number of faces of a cylinder is:
(a) 1 (b) 6 (c) 2 (d) 3
Q.19: The number of triangular faces of a triangular prism is:
(a) 1 (b) 4 (c) 2 (d) 3
Q.20: What will be the number of edges if there are 12 vertices and 20 faces?
(a) 32 (b) 28 (c) 30 (d) 42
SECTION C (10 MARKS)
Q.21: Add: m – n and m + n. ______ 1 Mark
Q.22: Find the value of 𝑎 − 𝑏 for a = 3 and b = 2. _______ 1 Mark
Q.23: Reduce into the standard form. ________ 1 Mark
Q.24: Find 5 rational numbers between 𝑎𝑛𝑑 . _________ 2 Mark
Q.25: Simplify: . __________ 2 Marks
Q.26: The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has
circumference equal to the sum of the circumferences of the two circles. ___ 3 Marks
SECTION D (10 MARKS)
Q.27: Find BC, if the area of the triangle ABC is 36 𝑐𝑚 and the height AD is 3 cm. ___ 1 Mark
Q.28: Construct a polynomial with 4 or more terms. ___ 1 Mark
Q.29: Express 3. 52 x 10 in the usual form. ___ 1 Mark
Q.30: Draw ∆PQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What types of triangles is this?
______ 2 Marks
Q.31: Construct ∆LMN, right angled at M, given that LM = 5 cm and MN = 3 cm. ____ 2 Mark
Q.32: Anu wants to fence the garden in front of her house, on three sides with lengths 20 m, 12 m and 12 m.
Find the cost of fencing at the rate of ₹150 per metre. ______ 3 Marks