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

Explain the situations represented by the following distance-time graph.

Find the coordinates of the vertices of the given figures.

Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.

1. At what time did the person start from his home?
2. How much distance did he travel in the first four hours of his journey?
3. What was he doing from 3 pm to 5 pm?
4. What was the total distance travelled by him throughout the day?
5. Calculate the distance covered by him in the first 8 hours of his journey.
6. At what time did he cover 16 km of his journey?
7. Calculate the average speed of the man from (a) A to B (b) B to C.
8. At what time did he return home?

Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

Locate the points A(1, 2), B(3, 4) and C(5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rhombus ABCD. Measure the diagonals of this rhombus and find whether they are equal or not.

Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.

The graph given below compares the sales of ice creams of two vendors for a week.

Observe the graph and answer the following questions.

1. Which vendor has sold more icecreams on Friday?
2. For which day was the sales same for both the vendors?
3. On which day did the sale of vendor A increase the most as compared to the previous day?
4. On which day was the difference in sales the maximum?
5. On which two days was the sales same for vendor B?

The table given below shows the temperatures recorded on a day at different times.

Observe the table and answer the following questions.

1. What is the temperature at 8 am?
2. At what time is the temperature 3°C?
3. During which hour did the temperature fall?
4. What is the change in temperature between 7 am and 10 am?
5. During which hour was there a constant temperature?

The following table gives the growth chart of a child.

Draw a line graph for the table and answer the questions that follow.

1. What is the height at the age of 5 years?
2. How much taller was the child at the age of 10 than at the age of 6?
3. Between which two consecutive periods did the child grow more faster?

The following is the time-distance graph of Sneha’s walking.

1. When does Sneha make the least progress? Explain your reasoning.
2. Find her average speed in km/hour.

Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.

     Table I

     Table II

    Table III

Draw parallelograms EFGH and JKLM on the same graph paper.

Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.

Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey.

1. At what time did he start and end his journey?
2. What was the total duration of journey?
3. Which journey, forward or return, was of longer duration?
4. For how many hours did he not move?
5. At what time did he have the fastest speed?

The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.

1. At what time did cyclist II rest? How long did the cyclist rest?
2. Was cyclist II cycling faster or slower after the rest?
3. At what time did the two cyclists meet?
4. How far had cyclist II travelled when he met cyclist I?
5. When cyclist II reached town A, how far was cyclist I from town B?

Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto-rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.

Draw the line graph using suitable scale to show the annual gross profit of a company for a period of five years.

The table shows the data collected for Dhruv’s walking on a road.

1. Plot a line graph for the given data using a suitable scale.
2. In what time periods did Dhruv make the most progress?

Observe the given graph carefully and complete the table given below.

This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.

1. In which year was the dropout the rate highest? In which year was it the lowest?
2. When did the per cent of students who dropped out of high school first fall below 5%?
3. About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?

Observe the toothpick pattern given below:

(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.

(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.

(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.

(d) Would it make sense to join the points on this graph? Explain.