List of top Mathematics Questions asked in CBSE Class VII

A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs RS 4 per meter. (Take \(\pi\) = \(\frac{22}{7}\) )

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take \(\pi\) = \(\frac{22}{7}\) )

From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. (Take \(\pi\) = \(\frac{22}{ 7}\) )

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take \(\pi\)= 3.14)

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take \(\pi\) = 3.14)

A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (\(\pi\) = 3.14)

A circular flower garden has an area of 314 \(m^2\) . A sprinkler at the centre of the garden can cover an area that has a radius of 12 \(m\). Will the sprinkler water the entire garden? (Take \(\pi\) = 3.14)

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take \(\pi\) = 3.14)

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take \(\pi\) = \(\frac{22}{7}\))

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take \(\pi\) = 3.14)

Find the area of the following circles, given that: 

1.  radius = 14 mm (Take \(\pi\) = \(\frac{22}{7}\) ) 
2.  diameter = 49 m 
3.  radius = 5 cm

Find the circumference of the circles with the following radius: (Take \(\pi\) = \(\frac{22}{7}\) ) 

1.  14 cm 
2.  28 mm 
3.  21 cm

PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = \(12\) cm and QM = \(7.6\) cm. Find: 

1. the area of the parallelogram PQRS 
2.  QN, if PS = 8 cm

Find the missing values:

Base	Height	Area of triangle
15 cm	-	87 \(cm^2\)
-	31.4 mm	1256 \(mm^2\)
22 cm	-	170.5 \(cm^2\)

Find the missing values:

So No	Base	Height	Area of parallelogram
a.	20 cm	-	246 \(cm^2\)
b.	-	15 cm	154.5 \(cm^2\)
c.	-	8.4 cm	48.72 \(cm^2\)
d.	15.6 cm	-	16.38 \(cm^2\)

Find the area of each of the following parallelograms:

Write down a pair of integers whose:
(a) sum is –7
(b) difference is –10
(c) sum is 0

Fill in the blanks to make the following statements true:
(i) (–5) + (– 8) = (– 8) + (............)
(ii) –53 + ............ = –53
(iii) 17 + ............ = 0
(iv) [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + ............