Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions for Mathematics

Simplify:

`(2 1/2 + 1/5)/(2 1/2 ÷ 1/5)`

Simplify:

`(1/4 + 1/5)/(1 - 3/8 xx 3/5)`

In the morning, a milkman filled `5 1/2` L of milk in his can. He sold to Renu, Kamla and Renuka `3/4` L each; to Shadma he sold `7/8` L; and to Jassi he gave `1 1/2` L. How much milk is left in the can?

Rama has `6 1/4` kg of cotton wool for making pillows. If one pillow takes `1 1/4` kg, how many pillows can she make?

It takes `2 1/3` m of cloth to make a shirt. How many shirts can Radhika make from a piece of cloth `9 1/3` m along?

Ravi can walk `3 1/3` km in one hour. How long will it take him to walk to his office which is 10 km from his home?

A student multiplied two mixed fractions in the following manner: `2 4/7 xx 3 1/4 = 6 1/7`. What error the student has done?

The value of y for which the expressions (y – 15) and (2y + 1) become equal is ______.

If `x/2 = 3`, then the value of 3x + 2 is ______.

Which of the following numbers satisfy the equation –6 + x = –12?

The sum of two numbers is 60 and their difference is 30.

1. If smaller number is x, the other number is ______. (use sum)
2. The difference of numbers in term of x is ______.
3. The equation formed is ______.
4. The solution of the equation is ______.
5. The numbers are ______ and ______.

The sum of two numbers is 60 and their difference is 30.

The difference of numbers in term of x is ______.

The sum of two numbers is 60 and their difference is 30.

The numbers are ______ and ______.

Sum of two numbers is 81. One is twice the other.

The numbers are ______ and ______.

In a test Abha gets twice the marks as that of Palak. Two times Abha’s marks and three times Palak’s marks make 280.

1. If Palak gets x marks, Abha gets ______ marks.
2. The equation formed is ______.
3. The solution of the equation is ______.
4. Marks obtained by Abha are ______.

In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then 

1. The worth of x coins of ₹ 5 each ______.
2. The worth of x coins of ₹ 2 each ______.
3. The equation formed is ______.
4. There are ______ 5 rupee coins and ______ 2 rupee coins.

In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:

1. If 1st prizes are x in number the number of 2nd prizes are ______.
2. The total value of prizes in terms of x are ______.
3. The equation formed is ______.
4. The solution of the equation is ______.
5. The number of 1st prizes are ______ and the number of 2nd prizes are ______.

If 9 is the solution of variable x in the equation `(5x - 7)/2 = y`, then the value of y is 28.

Five times a number increased by 7 is 27.

Two-third of a number is greater than one-third of the number by 3. Find the number.