List of top Mathematics Questions asked in CBSE Class VII

Take any point O in the interior of a triangle PQR. Is 

1.  OP + OQ > PQ? 
2.  OQ + OR > QR? 
3.  OR + OP > RP?

In the given figure, the arms of two angles are parallel. If  \(∠ABC = 70º\), then find: 

1.  DGC 
2.  DEF

Find the values of \(x\) in each of the following figures if \(l||m\).

In the adjoining figure, Find the unknown angles.

In the adjoining figure, identify: 

1.  the pairs of corresponding angles. 
2.  the pairs of alternate interior angles. 
3.  the pairs of interior angles on the same side of the transversal. 
4.  the vertically opposite angles.

State the property that is used in each of the following statements: 

1.  If \(a || b\), then \(∠1 = ∠5\). 
2.  If \(∠4 = ∠6\), then \(a || b\). 
3.  If \(∠4 + ∠5 = 180°\), then \(a || b\).

In the adjoining figure, name the following pairs of angles. 

1. Obtuse vertically opposite angles 
2.  Adjacent complementary angles 
3.  Equal supplementary angles 
4.  Unequal supplementary angles
5.  Adjacent angles that do not form a linear pair

Fill in the blanks: 

1.  If two angles are complementary, then the sum of their measures is _______. 
2.  If two angles are supplementary, then the sum of their measures is ______. 
3. If two adjacent angles are supplementary, they form a ___________.

An angle is greater than \(45\degree\) . Is its complementary angle greater than \(45\degree\) or equal to \(45\degree\) or less than \(45\degree\) ?

Can two angles be supplementary if both of them are: 

1.  acute 
2.  obtuse 
3.  right?

In the given figure, \(\angle \;1\) and \(∠  \;2\) are supplementary angles. 
If \(∠\;1\) is decreased, what changes should take place in \(∠\;2\) so that both the angles still remain supplementary?

Find the angle which is equal to its supplement.

Find the angle which is equal to its complement:

Identify which of the following pairs of angles are complementary and which are supplementary: 

1.  \(65°, 115°\)
2.  \(63°,27°\)
3. \(112°,68°\)
4.  \(130°,50°\)
5. \(45°,45°\)
6. \(80°,10°\)

Find the supplement of each of the following angles:

Following table shows the points of each player scored in four games:
Now answer the following questions:
(i) Find the mean to determine A’s average number of points scored per game.
(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why? (iii) B played in all the four games. How would you find the mean?
(iv) Who is the best performer?

A cricketer scores the following runs in eight innings:58, 76, 40, 35, 46, 45, 0, 100. Find the mean score

Find the mean of the first five whole numbers.

Find the range of heights of any ten students of your class.

Find:
(i) 4.8 ÷ 10
(ii) 52.5 ÷ 10
(iii) 0.7 ÷ 10
(iv) 33.1 ÷ 10
(v) 272.23 ÷ 10
(vi) 0.56 ÷ 10
(vii) 3.97 ÷ 10

Find:
(i) 2.7 ÷ 100
(ii) 0.3 ÷ 100
(iii) 0.78 ÷ 100
(iv) 432.6 ÷ 100
(v) 23.6 ÷ 100
(vi) 98.53 ÷ 100

Is it possible to have a triangle with the following sides? 

1.  2 cm, 3 cm, 5 cm 
2.  3 cm, 6 cm, 7 cm 
3.  6 cm, 3 cm, 2 cm

Find the value of the unknowns x and y in the following diagrams:

Find the value of the unknown x in the following diagrams:

Find:
(i) 0.4 ÷ 2
(ii) 0.35 ÷ 5
(iii) 2.48 ÷ 4
(iv) 65.4 ÷ 6
(v) 651.2 ÷ 4
(vi) 14.49 ÷ 7
(vii) 3.96 ÷ 4
(viii) 0.80 ÷ 5