7th Practice test (Math)
1. Find the perimeter of a rectangle whose length is 25 cm and breadth is 18 cm.
2. What cross-sections do you get when you give a horizontal cut to the circular pipe?
3. What will be the number of faces if there are 6 vertices and 12 edges?
4. Find the area of a square whose side is 6 cm.
5. The number of faces of a triangular pyramid or tetrahedron is _______.
a) 5 b) 4 c) 6 d) 10
6. What is the circumference of a circular disc of radius 14 cm?
7. The radius of a circular box is 10 cm. What should be the length of the tape required to wrap
once around the pipe?
8. Name three letters of the English alphabet which are symmetrical about (i) a vertical axis (ii) a
horizontal axis.
9. State the number of lines of symmetry for the following figures: (a) A square (b) A rectangle
10. The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its
length. Also find the area of the rectangle.
11. Simplify and write the answer in the exponential form: [(22) 3 × 36 ] × 56
12. If p = 2, find the value of p2 – 2p – 100.
13. A rectangular park is 25 m long and 15 m wide. A path 3 m is constructed outside the park.
Find the area of the path.
14. PQRS is a parallelogram (see the below). QM is the height from Q to SR and QN is the
height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find: (a) the area of the parallegram
PQRS (b) QN, if PS = 8 cm
15. Find the area of the shaded region:
16. Express 3125 using exponential notation.
17. Construct ΔABC, given m A = 60°, m B = 30° and AB = 5.8 cm
18. Find the value of the following expressions when n = – 2. (i) 5n – 2 (ii) 5n2 + 5n – 2
(iii) n3 + 5n2 + 5n – 2
19. Express 540 as a product of powers of prime factors
20. Subtract: (i) 5a2 – 7ab + 5b2 from 3ab – 2a2 – 2b2
21. Add: (i) 14x + 10y – 12xy – 13, 18 – 7x – 10y + 8xy, 4xy
22. What should be taken away from 3x2 – 4y2 + 5xy + 20 to obtain – x2 – y2 + 6xy + 20?
23. Express the number appearing in the following statements in standard form.
(a) The distance between Sun and Saturn is 1,433,500,000,000 m
(b) Mass of Uranus = 86,800,000,000,000,000,000,000,000 kg
(c) The distance between Saturn and Uranus is 1,439,000,000,000 m
24. Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure B.
25. Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed
which are parallel to the sides and cut each other at right angles through the centre of the fields.
If the width of each road is 3 m, find (i) the area covered by the roads. (ii) the cost of
constructing the roads at the rate of Rs 110 per square metre .
