Ratio & Proportion — Chapter Test | Class 6 IMO

Q1

What is 6 : 9 in simplest form?

Divide both by 3: 6 : 9 = 2 : 3.

Q2

Which ratio is equivalent to 1 : 3?

Multiply both by 4: 1 : 3 = 4 : 12.

Q3

In a proportion, the product of the means equals the product of the ___ ?

Product of means = product of extremes.

Q4

Complete: 2 : 4 = 3 : ___ ?

2 : 4 = 1 : 2, so 3 : 6.

Q5

What is 12 : 18 in simplest form?

Divide both by 6: 12 : 18 = 2 : 3.

Q6

Find x: 4 : 5 :: 12 : x.

4 × x = 5 × 12 = 60, so x = 15.

Q7

Are 3 : 4 and 6 : 8 in proportion?

3 × 8 = 24 and 4 × 6 = 24, so yes.

Q8

5 pens cost ₹60. What is the cost of one pen?

60 ÷ 5 = ₹12.

Q9

₹20 is divided in the ratio 2 : 3. What is the larger share?

Parts = 5; ₹20 ÷ 5 = ₹4, so shares are ₹8 and ₹12.

Q10

Complete: ___ : 15 in proportion with 2 : 3.

2 : 3 = 10 : 15, so the first term is 10.

Q11

4 kg of apples cost ₹240. What do 6 kg cost?

One kg = ₹60, so 6 kg = ₹360.

Q12

A recipe uses 2 cups of flour to 1 cup of sugar. For 6 cups of flour, how much sugar?

The ratio 2 : 1 means 6 cups flour needs 3 cups sugar.

Q13

₹500 is shared between two friends in the ratio 2 : 3. What is the smaller share?

Parts = 5; ₹500 ÷ 5 = ₹100, so the smaller share is 2 × 100 = ₹200.

Q14

On a map 1 cm represents 50 km. What distance does 4 cm represent?

4 × 50 = 200 km.