Class 6 Maths Chapter 12 Ratio and Proportion - NCERT

Q1)  A piece of ribbon is cut into two pieces. The ratio of the longer piece to the shorter piece is 9 : 5. The difference in the two length is 36 cm. Find the length of the original ribbon.

1. 126 cm
2. 186 cm
3. 324 cm
4. 504 cm

Answer
A.

Q2) The ratio of the number of apples to the number of mangoes in a basket is 5 : 2. There are 4 times as many pears as mangoes in the basket. What is the ratio of the number of apples to the total number of fruits in the basket?

1. 1 : 3
2. 1 : 2
3. 5 : 7
4. 5 : 12

Answer
A.

Q3) The ratio of the number of men to children to women at a funfair is 2 : 13 : 5. What percentage of the people at the funfair are adults?

1. 25%
2. 35%
3. 65%
4. 90%

Answer
B.

Q4) A sum of money is shared between Xavier and Zen in the ratio 2 : 5. If Zen receives $ 12.50, what is the amount of money Xavier received?

1. $45
2. $9
3. $5
4. $4

Answer
C.

Q5) Joel cut a 1-metre string into 3 pieces, A, B and C. A is 40 cm longer than B. B and C are of the same length. What is the ratio of length A to length B to length C?

1. 3 : 1 : 1
2. 4 : 3 : 3
3. 5 : 1 : 1
4. 2 : 1 : 1

Answer

A.

Q6) Raju has 56 marbles. 24 of the marbles are yellow and the rest are blue. Find the ratio of the number of yellow marbles to the number of blue marbles.

1. 2 : 3
2. 3 : 4
3. 4 : 3
4. 4 : 7

 Answer
B.

Q7) Audrey took 12​ h to complete her homework. Her brother took 14​ h longer to complete his homework. Express the time taken by Audrey to complete her homework as a ratio to the time taken by her brother to complete his homework.

1. 1 : 2
2. 2 : 1
3. 2 : 3
4. 3 : 4

Answer
C.

Q8) The ratio of the number of comics Kenny had to the number of comics Henry had was 3 : 9. Henry had 48 more comics than Kenny. How many comics must Henry give to Kenny so that each of them has an equal number of comics?

1. 8
2. 12
3. 16
4. 24

 Answer

D.

Q9) There are 40% as many cheeseburgers as hamburgers and 20% more fries than the total number of burgers at a stall. What is the ratio of cheeseburgers to fries?

1. 1 : 4
2. 1 : 3
3. 5 : 21
4. 25 : 42

Answer
C.

Q10) A metal rod is 20 cm long. A stick is 0.3 m long. A ruler is 15 cm long. Find the ratio of the length of the metal rod to the length of the stick to the length of the ruler. Express your answer in the simplest form.

1. 4 : 6 : 3
2. 4 : 60 : 3
3. 20 : 3 : 15
4. 200 : 3 : 15

Answer
A.

Q11) The length of the sides of a triangle are in the ratio 2 : 3 : 5. The length of the shortest side is 10 cm. What is the length of the longest side?

1. 15 cm
2. 25 cm
3. 50 cm
4. 100 cm

Answer
B.

Q12) The square below is divided into three parts, X, Y and Z. The area of X to Z is in the ratio 8 : 3. What is the ratio of the area of Y to that of Z?

1. 3 : 8
2. 5 : 3
3. 8 : 5
4. 8 : 11

Answer
B.

Q13) The ratio of the length of each side of a triangle is 2 : 3 : 4. The perimeter of the triangle is 81 cm.
Find the length of the shortest side.

1. 9 cm
2. 18 cm
3. 27 cm
4. 36 cm

Answer
B.

Q14) What is the ratio of the number of spoons to the number of forks to the number of knives?

1. 1 : 3 : 2
2. 1 : 2 : 3
3. 2 : 3 : 1
4. 2 : 1 : 3

Answer

C.

Q15) The table below shows Jane's collection of red, white and green marbles.

What is the ratio of the number of white marbles to the total number of marbles?

1. 5 : 36

2. 5 : 46

3. 5 : 51

4. 5 : 97

Q22) The number of red, yellow and blue beanbags in a PE Storeroom is in the ratio 2 : 3 : 5. The number of yellow beanbags is 600 less than the total number of red and blue beanbags. Find the number of red beanbags in the storeroom.

1. 200
2. 300
3. 400
4. 1500

Answer
B.

Q23) The ratio of Carol's age to Fatimah's age to Jenny's age is 3 : 7 : 4. If Fatimah is 21 years old now, waht is their total age in two years time?

1. 42
2. 44
3. 48
4. 60

Answer
C.

Q24) There were mangosteens, apples and oranges in a fruit stall, of which 30% were mangosteens. The ratio of the number of apples to the number of oranges was 2 : 5. There were 84 more oranges than apples. How many mangosteens and apples were there altogether?

1. 140
2. 196
3. 224
4. 280

Answer
A.