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

Set up equation and solve them to find the unknown number in the following case:

Add 4 to eight times a number; you get 60.

Set up equation and solve them to find the unknown number in the following case:

One-fifth of a number minus 4 gives 3.

Set up equation and solve them to find the unknown number in the following case:

If I take three-fourths of a number and add 3 to it, I get 21.

Set up equation and solve them to find the unknown number in the following case:

When I subtracted 11 from twice a number, the result was 15.

Set up equation and solve them to find the unknown number in the following case:

Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

Set up equation and solve them to find the unknown number in the following case:

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

Set up equation and solve them to find the unknown number in the following case:

Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23.

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Solve the following riddle:

I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:

∆ABC, ∠B = 90°, AC = 8 cm, AB = 3 cm.

∆PQR, ∠P = 90°, PR = 3 cm, QR = 8 cm.

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:

∆ABC, ∠A = 90°, AC = 5 cm, BC = 9 cm.

∆PQR, ∠Q = 90°, PR = 8 cm, PQ = 5 cm.

In Fig, DA ⊥ AB, CB ⊥ AB, and AC = BD. State the three pairs of equal parts in ∆ABC and ∆DAB. Which of the following statements is meaningful?

(i) ∆ABC ≅ ∆BAD
(ii) ∆ABC ≅ ∆ABD.

In Fig,

BD and CE are altitudes of ∆ABC such that BD = CE.
(i) State the three pairs of equal parts in ∆CBD and ∆BCE.
(ii) Is ∆CBD ≅ ∆BCE? Why or why not?
(iii) Is ∠DCB = ∠EBC? Why or why not?

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes.

(i) State the three pairs of equal parts in ∆ADB and ∆ADC.
(ii) Is ∆ADB ≅ ∆ADC? Why or why not?
(iii) Is ∠B = ∠C? Why or why not?
(iv) Is BD = CD? Why or why not?

The sum of three times a number and 11 is 32. Find the number.