List of top Mathematics Questions asked in CBSE Class VII

Use the bar graph to answer the following questions.
(a) Which is the most popular pet?
(b) How many students have dog as a pet?
Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14
The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
(i) Find the mode and median of this data.
(ii) Is there more than one mode?
The runs scored in a cricket match by 11 players is as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Find the mean, mode and median of this data. Are the three same?
The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?
A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).
(i)A ball (iI) A cylindrical(iii) pipe A book
Examine if the following are true statements:
  1. The cube can cast a shadow in the shape of a rectangle.
  2. The cube can cast a shadow in the shape of a hexagon.
The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:
(i) Find the range of the rainfall in the above data.
(ii) Find the mean rainfall for the week.
(iii) On how many days was the rainfall less than the mean rainfall.
The enrolment in a school during six consecutive years was as follows:
1555, 1670, 1750, 2013, 2540, 2820
Find the mean enrolment of the school for this period.
Find the complement of each of the following angles:
angles 20, 63 and 57
ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?
ABCD is quadrilateral
ABCD is quadrilateral. Is AB + BC + CD + DA >AC + BD?
ABCD quadrilateral
AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM? (Consider the sides of triangles ΔABM and ΔAMC.)
triangle ABC
Take any point O in the interior of a triangle PQR. Is 
triangle PQR with a point O
  1.  OP + OQ > PQ? 
  2.  OQ + OR > QR? 
  3.  OR + OP > RP?
In the given figures below, decide whether \(l\) is parallel to \(m\).
list o figures to decide whether l is parallel to m
In the given figure, the arms of two angles are parallel. If  \(∠ABC = 70º\), then find: 
two parallel angled arms
  1.  DGC 
  2.  DEF
Find the values of \(x\) in each of the following figures if \(l||m\).
figures of l||m
In the adjoining figure, Find the unknown angles.
adjoining figure of lines and angles
In the adjoining figure, identify: 
pair of lines and angles
  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: 
Parallel lines
  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. 
angle A,B.C.D,E,O
  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 \(45\degree\) ?