Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Write the ratio of 2 m to 50 cm in the simplest form.
Correct! 2 m = 200 cm. Ratio = 200 : 50 = 4 : 1.
(2) Express 40 paise as a ratio of ₹1.
Perfect! ₹1 = 100 paise. Ratio = 40 : 100 = 2 : 5.
(3) Find the ratio of 25 minutes to 1 hour.
Excellent! 1 hour = 60 minutes. Ratio = 25 : 60 = 5 : 12.
(4) Write the ratio of 15 : 45 in its simplest form.
Great! Dividing both by 15: 15 : 45 = 1 : 3.
(5) Are the ratios 2 : 3 and 4 : 6 equal?
Correct! 4 : 6 = 2 : 3 when simplified, so they are equal.
Short Answer Questions (2 Marks Each)
Answer each question clearly
(1) A class has 20 boys and 15 girls. Find the ratio of boys to girls.
Excellent! Ratio = 20 : 15 = 4 : 3.
(2) Simplify the ratio 150 g : 1.5 kg.
Perfect! 1.5 kg = 1500 g. Ratio = 150 : 1500 = 1 : 10.
(3) Express 3 hours as a ratio of 1 day.
Correct! 1 day = 24 hours. Ratio = 3 : 24 = 1 : 8.
(4) The monthly income of A is ₹12,000 and that of B is ₹9,000. Find the ratio of their incomes.
Great! Ratio = 12,000 : 9,000 = 4 : 3.
(5) The cost of 12 pens is ₹60. Find the cost of 1 pen.
Perfect! Cost of 1 pen = ₹60 ÷ 12 = ₹5.
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear explanations.
(1) A recipe for lemonade requires lemon juice and water in the ratio 2 : 5. If 10 litres of water are used, find the quantity of lemon juice required.
Lemon juice required:
Correct! If water : lemon juice = 5 : 2, then for 10 litres water: lemon juice = 10 ×
(2) A sum of ₹600 is divided between A and B in the ratio 3 : 5. Find their shares.
A's share: ₹
Perfect! Total parts = 3 + 5 = 8. A gets
(3) In a school, the number of teachers and students are in the ratio 1 : 20. If there are 25 teachers, find the number of students.
Number of students:
Excellent! If teachers : students = 1 : 20, then students = 25 × 20 = 500.
(4) A map is drawn to a scale of 1 : 1,00,000. If the distance between two towns on the map is 3 cm, find the actual distance between them in kilometres.
Actual distance:
Great! Actual distance = 3 × 1,00,000 = 3,00,000 cm = 3 km.
(5) A sum of ₹1,500 is divided among P, Q, and R in the ratio 2 : 3 : 5. Find each share.
P's share: ₹
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The ratio of 50 cm to 2 m is:
(a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 2 : 3
Correct! 2 m = 200 cm. Ratio = 50 : 200 = 1 : 4.
(2) 75 paise expressed as a ratio of ₹1 is:
(a) 1 : 2 (b) 3 : 4 (c) 4 : 3 (d) 2 : 5
Correct! ₹1 = 100 paise. Ratio = 75 : 100 = 3 : 4.
(3) The ratio 12 : 16 in simplest form is:
(a) 2 : 3 (b) 3 : 4 (c) 4 : 3 (d) 1 : 2
Correct! Dividing both by 4: 12 : 16 = 3 : 4.
(4) The cost of 8 pencils is ₹24. The cost of 1 pencil is:
(a) ₹2 (b) ₹3 (c) ₹4 (d) ₹5
Correct! Cost of 1 pencil = ₹24 ÷ 8 = ₹3.
(5) The ratio of 2 hours to 1 day is:
(a) 1 : 12 (b) 1 : 6 (c) 1 : 24 (d) 2 : 24
Correct! 1 day = 24 hours. Ratio = 2 : 24 = 1 : 12.
(6) If 2 : 5 = x : 20, then x =
(a) 5 (b) 6 (c) 7 (d) 8
Correct! x = (2 × 20) ÷ 5 = 40 ÷ 5 = 8.
(7) If the number of boys and girls in a class are 30 and 20, then the ratio of boys to girls is:
(a) 2 : 3 (b) 3 : 2 (c) 4 : 3 (d) 5 : 2
Correct! Ratio = 30 : 20 = 3 : 2.
(8) The ratio of 500 g to 2 kg is:
(a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 2 : 5
Correct! 2 kg = 2000 g. Ratio = 500 : 2000 = 1 : 4.
(9) The ratio of 1 dozen to 60 is:
(a) 1 : 6 (b) 1 : 5 (c) 1 : 4 (d) 1 : 3
Correct! 1 dozen = 12. Ratio = 12 : 60 = 1 : 5.
(10) The ratio of 25 paise to ₹2 is:
(a) 1 : 8 (b) 1 : 4 (c) 1 : 2 (d) 1 : 6
Correct! ₹2 = 200 paise. Ratio = 25 : 200 = 1 : 8.
Ratio and Proportion Challenge
Determine whether these statements are True or False: