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

Using division of polynomials, state whether

z² + 3 is a factor of z⁵ − 9z

The following histogram shows the frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?

Using division of polynomials, state whether

2x² − x + 3 is a factor of 6x⁵ − x⁴ + 4x³ − 5x² − x − 15

Fill in the blank in the following so as to make the statement true:

1 m³ = .........cm³

Fill in the blank in the following so as to make the statement true:

 1 litre = ....... cubic decimetre

Fill in the blank in the following so as to make the statement true:

 1 kl = ....... m³

Fill in the blank in the following so as to make the statement true:

 The volume of a cube of side 8 cm is ........

Fill in the blank in the following so as to make the statement true:

The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm³. The height of the cuboid is ........ cm.

The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?

Fill in the blank in the following so as to make the statement true:

 1 cu.dm = ........ cu. mm

What must be added to x⁴ + 2x³ − 2x² + x − 1 , so that the resulting polynomial is exactly divisible by x² + 2x − 3?

Fill in the blank in the following so as to make the statement true:

 1 cu. km = ........ cu. m

Fill in the blank in the following so as to make the statement true:

1 litre = ........ cu. cm

Fill in the blank in the following so as to make the statement true:

 1 ml = ........ cu. cm

Fill in the blank in the following so as to make the statement true:

1 kl = ........ cu. dm = ........ cu. cm.

Find the surface area of a cube whose edge is 1.2 m.

Find the surface area of a cube whose edge is 27 cm.

Find the surface area of a cube whose edge is 3 cm.

Find the surface area of a cube whose edge is 6 m .