NCERT Resources > NCERT Class 8 > NCERT Class 8 Maths

Access Free Repository for Maths Grade 8

Mathematics at Grade 8 takes a sharp turn with an introduction to essential concepts. Incline yourself towards application-based learning with Learner's Note's Grade 8 mathematics learning repository. Explore Learner's Note's FREE learning resources for grade 8 mathematics learners. This repository is most useful for CBSE learners however, open for all! Empower your child to collect and secure quality content made available for smart learners. Access useful Grade 8 CBSE mathematics solution-inspired repository now.
Navigate through the repository by searching for resources on the basis of subjects and topics. Happy learning to you!

Class 8
Maths :-NCERT Solutions - Direct and Inverse Proportions.

Page No 208:
Question 3:

In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 ml of base?


Page No 208:
Question 4:

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?


Page No 208:
Question 5:

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?


Page No 208:
Question 6:

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?


Page No 208:
Question 7:

Suppose 2 kg of sugar contains 9 × 106 crystals.

How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?


Page No 208:
Question 8:

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?


Page No 208:
Question 10:

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?


Page No 213:
Question 1:

Which of the following are in inverse proportion?

(i) The number of workers on a job and the time to complete the job.

(ii) The time taken for a journey and the distance travelled in a uniform speed.

(iii) Area of cultivated land and the crop harvested.

(iv) The time taken for a fixed journey and the speed of the vehicle.

(v) The population of a country and the area of land per person.


Page No 213:
Question 2:
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?

Number of winners

1

2

4

5

8

10

20

Prize for each winner (in Rs)

100000

50000


Page No 213:
Question 3:

Number of spokes

4

6

8

10

12

Angle between a pair of consecutive spokes

90°

60°

Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.

(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?

(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?


Page No 214:
Question 4:

If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?


Page No 214:
Question 5:

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?


Page No 214:
Question 6:

A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?


Page No 214:
Question 7:

A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?


Page No 214:
Question 8:

A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?


Page No 214:
Question 9:

A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. how long will it take when the car travels at the speed of 80 km/h?


Page No 214:
Question 10:

Two persons could fit new windows in house in 3 days.

(i) One of the persons fell ill before the work started. How long would the job take now?

(ii) How many persons would be needed to fit the windows in one day?


Page No 214:
Question 11:

A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?