CITY MONTESSORI SCHOOL

SHALIMAR ONE WORLD

Session-2025-26
Mathematics Class VII
Time Allowed: 30 Minutes Max. Marks: 20

1. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts 1
from 10 m above the ground level, how long will it take to reach -350 m?
(a) 10 min (b) 20 min (c) 1 hour (d) 45 min
2. (-1)217 x (-4)11 x (-3)13 results in a 1
(a) negative integer (b) positive integer (c) zero (d) none of these
3. What would be the reciprocal of the sum of the reciprocals of the numbers and
𝟑 1
𝟓
𝟕
?
𝟑
𝟏 𝟐𝟏 𝟒 𝟑𝟔
(a) (b) (c) (d)
𝟒𝟐 𝟒𝟒 𝟓 𝟓𝟓
14 35
4. The product of two fractions is and their quotient is . The greater fraction is 1
15 24
𝟕 𝟕 𝟕 𝟒
(a) (b) (c) (d)
𝟒 𝟔 𝟑 𝟓
5. If (
𝟏𝟎
+
𝟏𝟔
)=
𝟏𝟔
− 𝒙, then the value of x must be 1
𝟏𝟓 𝟓 𝟓
𝟏𝟎 𝟏𝟓 𝟏𝟎 𝟑
(a) (b) − (c) − (d) −
𝟏𝟓 𝟏𝟎 𝟏𝟓 𝟐
6. Among the following, the number that should be added to −
𝟓
to get −
𝟐
is 1
𝟕 𝟑
𝟐𝟗 𝟐𝟗 𝟏 𝟏
(a) − (b) (c) (d) −
𝟐𝟏 𝟐𝟏 𝟐𝟏 𝟐𝟏
7. x + y - (z – x - [y + z - (x + y - {z + x - (y + z + x)})] is equal to 1
(a) 3x (b) 2y (c) 3 (d) 0
8. 𝟏
What should be added to , to make it equal to x? 1
𝒙
𝒙𝟐 − 𝒙 𝒙 𝒙𝟐 + 𝟏 𝒙𝟐 − 𝟏
(a) (b) (c) (d)
𝒙𝟐 𝒙𝟐 − 𝟏 𝒙 𝒙

9. If 4x + y = 1 and 4x - y = 4, then the value of x and y will be respectively 1

𝟏 𝟏 𝟏 𝟏 𝟏 𝟏 𝟏 𝟏
(a) and - (b) and (c) - and - (d) - and
𝟐 𝟐 𝟐 𝟐 𝟐 𝟐 𝟐 𝟐
10. If
𝟕
+
𝟑
= 5, then the value of x = ________________ . 1
𝒙 𝒙
(a) 2 (b) 3 (c) 5 (d) 8
11. For what integral value of x, the equation 4x - 6x + 2 = 0 is true? _________________.
2 1

1
12. Number of integers between -2 and 5 is 1
(a) 7 (b) 6 (c) 8 (d) 10

13. The product of two numbers is -180. If one number is 12, find the other number. 2
5 7
14. What should be added to the sum of - and to get -1? 2
9 18

15. Solve for x : 2(3x – 1) ≥ 10. 2

16. The length of a rectangle is 6 m less than twice its breadth. If the perimeter of the 2
rectangle is 54 m find its length and breadth.

**END OF PAPER**