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

What should be the value of a if the value of 2x² + x − a equals to 5, when x = 0?

Simplify the expression and find its value when a = 5 and b = −3.

2 (a² + ab) + 3 − ab

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

              A book

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid (s) that match shadow. (There may be multiple answer for these!)

           A rectangle

Examine if the following is true statement:

The cube can cast a shadow in the shape of a rectangle.

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.

In Fig,

AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.

Find the mode of the given set of numbers: 1, 1, 2, 4, 3, 2, 1, 2, 2, 4

The following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2.
Find the mode of this data.

Solve: 4(m + 3) = 18

Solve: – 2(x + 3) = 8.

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

      A ball

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

           A cylindrical pipe

Examine if the following is true statement:

The cube can cast a shadow in the shape of a hexagon.

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

      A circle

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

      A square

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

    A triangle

If 5 is added to both the numerator and the denominator of the fraction `5/9`, will the value of the fraction be changed? If so, will the value increase or decrease?

Evaluate:

`0.6/0.3 + 0.16/0.4`