Worksheet on Introduction to Graphs for Class 8

Pictures can tell mathematical stories clearly with our printable grade 8 introduction to graphs practice questions that teach data visualization. Students learn to read and create different types of graphs. Each exercise shows how data becomes meaningful through visual representation. Learners develop skills for interpreting information in the modern world. Download free Class 8 introduction to graphs worksheet PDF for data literacy.

Solved Questions on Introduction to Graphs

1. Which one of the following points has an abscissa that is twenty more than double the abscissa of point P and whose ordinate is ten less than one-third of the ordinate of point Q?

a) B
b) D
c) E
d) F

Answer: d) F

Explanation: From the graph, point P is (40, 90) and point Q is (90, 165).

The abscissa of P is 40 and the ordinate of Q is 165.

The point whose abscissa is twenty more than double the abscissa of point P
= 2 × 40 + 20
= 80 + 20
= 100

The point whose ordinate is ten less than one-third of the ordinate of point Q
= ¹⁄₃ × 165 − 10
= 55 − 10
= 45

The point is (100, 45).

Hence, the point on the graph is F.

2. Which quadrant has a point whose ordinate is three more than four-fifths of the ordinate of point A and whose abscissa is twenty-four less than three times the abscissa of point B?

a) First Quadrant
b) Second Quadrant
c) Third Quadrant
d) Fourth Quadrant

Answer: c) Third Quadrant

Explanation: From the graph, point A is (14, −15) and point B is (6, 21).
The ordinate of A is −15 and the abscissa of B is 6.
The point whose ordinate is three more than four-fifths of the ordinate of point A
= ⁴⁄₅ × (−15) + 3
= −12 + 3
= −9

The point whose abscissa is twenty-four less than three times the abscissa of point B = 3 × 6 − 24
= 18 − 24
= −6
The point is (−6, −9). Therefore, the point on the graph is U.
Hence, the point lies in the third quadrant.

Direction (3-4) The graph shows the consumption of milk per month by the baby at different ages. Study the graph carefully and answer the following questions:

3. What is the difference in consumption of milk between the ages of 7 months and 8 months?

a) 6 ounces
b) 8 ounces
c) 12 ounces
d) 20 ounces

Answer: c) 12 ounces

Explanation: Difference in consumption of milk between the ages of 7 months and 8 months
= 36 − 24
= 12 ounces

4. What is the consumption of milk by the baby in the whole year?

a) 170 ounces
b) 172 ounces
c) 190 ounces
d) 192 ounces

Answer: c) 190 ounces

Explanation: Consumption of milk by the baby in the whole year

= 3 + 4 + 5 + 6 + 8 + 10 + 24 + 36 + 24 + 30 + 16 + 24 = 190 ounces

5. The linear graph shows the distance covered at a particular time. What is the distance covered between 3 and 4.5 hours?

a) 5 kilometres 
b) 15 kilometres
c) 25 kilometres
d) 35 kilometres

Answer: b) 15 kilometres

Explanation: Distance covered between 3 and 4.5 hours = 45 − 30 = 15 kilometres