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

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 .

Find the surface area of a cube whose edge is 2.1 m.

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

3x² + 4x + 5, x − 2

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

 10x² − 7x + 8, 5x − 3

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

5y³ − 6y² + 6y − 1, 5y − 1

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

 x⁴ − x³ + 5x, x − 1

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

y⁴ + y², y² − 2

Find the surface area of a cube whose volume is  343 m³.

Find whether the first polynomial is a factor of the second.

x + 1, 2x² + 5x + 4

Find the surface area of a cube whose volume is  216 dm³.