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

Divide as directed.

 x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Factorise the expression and divide them as directed.

(y² + 7y + 10) ÷ (y + 5)

Factorise the expression and divide them as directed.

(m² − 14m − 32) ÷ (m + 2)

Factorise the expression and divide them as directed.

(5p² − 25p + 20) ÷ (p − 1)

Factorise the expression and divide them as directed.

4yz(z² + 6z − 16) ÷ 2y(z + 8)

Factorise the expression and divide them as directed.

5pq(p² − q²) ÷ 2p(p + q)

Factorise the expression and divide them as directed.

12xy(9x² − 16y²) ÷ 4xy(3x + 4y)

Factorise the expression and divide them as directed.

39y³(50y² − 98) ÷ 26y²(5y + 7)

The following graph shows the temperature of a patient in a hospital, recorded every hour.

1. What was the patient’s temperature at 1 p.m.?
2. When was the patient’s temperature 38.5°C?
3. The patient’s temperature was the same two times during the period given. What were these two times?
4. What was the temperature at 1.30 p.m.? How did you arrive at your answer?
5. During which periods did the patients’ temperature showed an upward trend?

The following line graph shows the yearly sales figures for a manufacturing company.

1. What were the sales in (i) 2002 (ii) 2006?
2. What were the sales in (i) 2003 (ii) 2005?
3. Compute the difference between the sales in 2002 and 2006.
4. In which year was there the greatest difference between the sales as compared to its previous year?

For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

1. How high was Plant A after (i) 2 weeks (ii) 3 weeks?
2. How high was Plant B after (i) 2 weeks (ii) 3 weeks?
3. How much did Plant A grow during the 3^rd week?
4. How much did Plant B grow from the end of the 2^nd week to the end of the 3^rd week?
5. During which week did Plant A grow most?
6. During which week did Plant B grow least?
7. Were the two plants of the same height during any week shown here? Specify.

The following graph shows the temperature forecast and the actual temperature for each day of a week.

1. On which days was the forecast temperature the same as the actual temperature?
2. What was the maximum forecast temperature during the week?
3. What was the minimum actual temperature during the week?
4. On which day did the actual temperature differ the most from the forecast temperature?

Use the tables below to draw linear graphs.

The number of days a hill side city received snow in different years.

Use the tables below to draw linear graphs.

Population (in thousands) of men and women in a village in different years.

A courier-person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

1. What is the scale taken for the time axis?
2. How much time did the person take for the travel?
3. How far is the place of the merchant from the town?
4. Did the person stop on his way? Explain.
5. During which period did he ride fastest?

Can there be a time-temperature graph as follows? Justify your answer.

Can there be a time-temperature graph as follows? Justify your answer.

Can there be a time-temperature graph as follows? Justify your answer.

Can there be a time-temperature graph as follows? Justify your answer.

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x² and 12x²