Ratio and Proportion quiz

The ratio of 15 to 25 in simplest form is:

The ratio of 50 paise to Rs 2 is:

Which ratio is equivalent to 2 : 5?

If 3 : x :: 9 : 12, then x is:

In a proportion, the product of the extremes equals:

If 5 pens cost Rs 40, the cost of 8 pens is:

The ratio of 1 hour to 20 minutes is:

Which of the following is in proportion?

Rs 100 divided in the ratio 2 : 3 gives the larger share as:

The ratio of the number of sides of a triangle to that of a square is:

Find the ratio of 3 km to 300 m. (2 marks)

Are 30 and 40 in the same ratio as 45 and 60? Explain. (2 marks)

Write two equivalent ratios of 6 : 4 and find its simplest form. (2 marks)

The length and breadth of a field are 50 m and 15 m. Find the ratio of length to breadth. (2 marks)

Find the value of x if 2 : 7 :: x : 21. (2 marks)

If 22.5 m of cloth costs Rs 1012.50, find the cost of 1 m. (2 marks)

Why can we not form a ratio between 5 kg and 20 m? (2 marks)

The cost of a dozen pens is Rs 180 and the cost of 8 ball pens is Rs 56. Find the ratio of the cost of one pen to one ball pen. (2 marks)

A train travels 360 km in 4 hours. How far will it travel in 7 hours at the same speed? (2 marks)

Out of 40 students, 25 like football. Find the ratio of students who like football to those who do not. (2 marks)

The ratio of boys to girls in a school is 5 : 4. If there are 450 students, find the number of boys and girls. (3 marks)

If 6 bowls cost Rs 90, find the cost of 10 such bowls and how many bowls can be bought for Rs 210. (3 marks)

Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. Shreya is 15 years old and Bhoomika is 12 years old. Find how much each gets. (3 marks)

The present age of a father is 42 years and that of his son is 14 years. Find the ratio of (i) present age of father to son (ii) age of father to son when the son was 12 years old (iii) age of father after 10 years to age of son after 10 years. (3 marks)

A typist can type 540 words in 6 minutes. (i) How many words can she type in 15 minutes? (ii) How long will she take to type 1080 words? (iii) Find the ratio of words typed in 15 minutes to words typed in 6 minutes. (3 marks)

Read the passage and answer the questions. To make lemonade, Rina mixes 2 glasses of lemon juice with 10 glasses of water. Her friend Tina mixes 3 glasses of lemon juice with 12 glasses of water. (i) Find the ratio of lemon juice to water for each girl in simplest form. (ii) Whose lemonade will taste stronger? (iii) How much water should Rina use with 5 glasses of lemon juice to keep the same taste? (5 marks)

Read the passage and answer the questions. A map shows that 2 cm represents 50 km. The distance between two towns on the map is 9 cm, and the distance between two other towns is 5.5 cm. (i) Find the actual distance between the first two towns. (ii) Find the actual distance between the other two towns. (iii) What length on the map would represent 300 km? (5 marks)

Read the passage and answer the questions. A recipe for 4 people needs 200 g of rice, 100 g of dal and 50 g of vegetables. Anu wants to cook the same dish for 10 people. (i) Find the ratio of rice to dal to vegetables in simplest form. (ii) How much rice and dal will she need for 10 people? (iii) How much of vegetables will she need? (5 marks)

Read the passage and answer the questions. Two friends, Aman and Bhuvan, started a small business. Aman invested Rs 12,000 and Bhuvan invested Rs 8,000. At the end of the year, they earned a profit of Rs 5,000 and decided to share it in the ratio of their investments. (i) Find the ratio of their investments in simplest form. (ii) Find each person's share of the profit. (iii) If next year's profit is Rs 7,500, find Aman's share. (5 marks)

Read the passage and answer the questions. A car uses 8 litres of petrol to travel 120 km. Petrol costs Rs 100 per litre. The family plans a trip of 450 km. (i) How many kilometres does the car travel per litre? (ii) How much petrol is needed for the trip? (iii) Find the cost of petrol for the trip. (5 marks)

Explain the terms ratio, equivalent ratio, proportion, extremes and means with examples. Draw a bar diagram showing that 2 : 3 = 4 : 6 = 6 : 9. Check whether 25 cm : 1 m and Rs 40 : Rs 160 are in proportion. (6 marks)

Draw a line segment of 10 cm and divide it in the ratio 2 : 3 by measuring. State the lengths of the two parts. Then explain how you would divide Rs 250 in the ratio 2 : 3 and Rs 840 in the ratio 3 : 4. (6 marks)

The marks of Ravi in Maths and Science are 72 and 60 out of 80 and 75 respectively. Find the ratio of marks scored to maximum marks for each subject, express each as a fraction and compare. Draw a bar graph comparing the two ratios and say in which subject he did better relatively. (6 marks)

Explain the unitary method with a flowchart (step 1: find value of one unit; step 2: multiply). Solve: (i) If 15 workers together earn Rs 9,000 in a day, how much does 1 worker earn and how much do 8 workers earn? (ii) If 12 notebooks cost Rs 300, find the cost of 20 notebooks and the number of notebooks for Rs 450. (6 marks)

The ratio of the length to the breadth of a rectangular park is 5 : 3. Its perimeter is 320 m. Draw a labelled diagram. Find the length and breadth, the ratio of length to perimeter, and the area of the park. (6 marks)