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1. NCERT Solutions - Mathematics , Class 8

CHAPTERS

1. Rational Numbers

2. Linear Equations in One Variable

3. Understanding Quadrilaterals

4. Data Handling

5. Squares and Square Roots

6. Cubes and Cube Roots

7. Comparing Quantities

8. Algebraic Expressions and Identities

9. Visualising Solid Shapes

10. Mensuration

11. Exponents and Powers

12. Direct and Inverse Proportions

13. Factorisation

14. Introduction to Graphs

15. Playing with Numbers

EXERCISES

1. Exercise 15.1

2. Exercise 15.2

3. Exercise 15.3

Q1) The following graph shows the temperature of a patient in a hospital, recorded every hour:

(a) What was the patient’s temperature at 1 p.m.?

(b) When was the patient’s temperature 38.5° C?

(c) The patient’s temperature was the same two times during the period given. What were these two times?

(d) What was the temperature at 1.30 p.m.? How did you arrive at your answer?

(e) During which periods did the patients’ temperature showed an upward trend?

Q2) The following line graph shows the yearly sales figures for a manufacturing company.

(a) What were the sales in (i) 2002 (ii) 2006?

(b) What were the sales in (i) 2003 (ii) 2005?

(c) Compute the difference between sales in 2002 and 2006.

(d) In which year was there the greatest difference between the sales as compared to its previous year?

Q3) 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 in the following graph.

(a) How high was Plant A after (i) 2 weeks (ii) 3 weeks?

(b) How high was Plant B after (i) 2 weeks (ii) 3 weeks?

(c) How much did Plant A grow during the 3rd week?

(d) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?

(e) During which week did Plant A grow most?

(f) During which week did Plant B grow least?

(g) Were the two plants of the same height during any week shown here? Specify.

Q4) The following graph shows the temperature forecast and the actual temperature for each day of a week.

(a) On which days was the forecast temperature the same as the actual temperature?

(b) What was the maximum forecast temperature during the week?

(c) What was the minimum actual temperature during the week?

(d) On which day did the actual temperature differ the most from the forecast temperature?

Q5) Use the tables below to draw linear graphs.

(a) The number of days a hillside city received snow in different years.

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

Q6) 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.

(a) What is the scale taken for the time axis?

(b) How much time did the person take for travel?

(c) How far is the place of the merchant from the town?

(d) Did the person stop on his way? Explain.

(e) During which period did he ride the fastest?

Q7) Can there be a time-temperature graph as follows? Justify your answer.

(i)

(ii)

(iii)

(iv)

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NCERT Solutions - Mathematics , Class 8

Rational Numbers

Linear Equations in One Variable

Understanding Quadrilaterals

Data Handling

Squares and Square Roots

Cubes and Cube Roots

Comparing Quantities

Algebraic Expressions and Identities

Visualising Solid Shapes

Mensuration

Exponents and Powers

Direct and Inverse Proportions

Factorisation

Introduction to Graphs

Playing with Numbers

Exercise 15.1

Exercise 15.2

Exercise 15.3

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