Secondary School (English Medium) (5 to 8) कक्षा ७ - CBSE Question Bank Solutions for Mathematics

Unequal masses will not balance on a fulcrum if they are at equal distance from it; one side will go up and the other side will go down.

Unequal masses will balance when the following proportion is true:

`("mass"1)/("length"2) = ("mass"2)/("length"1)`

Two children can be balanced on a seesaw when

`("mass"1)/("length"2) = ("mass"2)/("length"1)`. The child on the left and child on the right are balanced. What is the mass of the child on the right?

A student said that the ratios `3/4` and `9/16` were proportional. What error did the student make?

Which of the following rational numbers is positive?

Which of the following rational numbers is negative?

`-3/8` is a ______ rational number.

1 is a ______ rational number.

If p and q are positive integers, then `p/q` is a ______ rational number and `p/(-q)` is a ______ rational number.

Every negative integer is not a negative rational number.

36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is ______.

What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?

If a wire in the shape of a square is rebent into a rectangle, then the ______ of both shapes remain same, but ______ may varry.

In the following figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).

(i)	(ii)

An increase in perimeter of a figure always increases the area of the figure.

A hedge boundary needs to be planted around a rectangular lawn of size 72 m × 18 m. If 3 shrubs can be planted in a metre of hedge, how many shrubs will be planted in all?

Rectangle MNOP is made up of four congruent rectangles (see figure). If the area of one of the rectangles is 8 m² and breadth is 2 m, then find the perimeter of MNOP.

In the following figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.

A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the following figure. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.

Which of the following is a pair of like terms?

123x²y – 138x²y is a like term of ______.

Sum or difference of two like terms is ______.