Easy Level Worksheet Questions
Part A: Subjective Questions
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
(1) Write the ratio of 4 m to 250 cm in simplest form.
Excellent! First convert to same units: 4 m = 400 cm, then 400:250 = 8:5 after dividing by GCD of 50.
(2) Express 35 paise as a ratio to ₹1.
Perfect! Converting ₹1 = 100 paise, so 35:100 = 7:20 after dividing by GCD of 5.
(3) Write the ratio of 45 minutes to 2 hours.
Great job! Converting 2 hours = 120 minutes, so 45:120 = 3:8 after dividing by GCD of 15.
Express the ratio of 2 hours to 30 minutes in simplest form.
Well done! You correctly identified the two quantities being compared in this time ratio.
(5) What is the ratio of 50 cm to 2 m?
Awesome! Converting 2 m = 200 cm, so 50:200 = 1:4 after dividing by GCD of 50.
(6) Express 500 g as a ratio to 2 kg.
Outstanding! Converting 2 kg = 2000 g, so 500:2000 = 1:4 after dividing by GCD of 500.
(7) Write the ratio of 3 days to 1 week.
Super! Since 1 week = 7 days, the ratio 3:7 is already in simplest form.
(8) What is the ratio of 80 to 200 in simplest form?
Well done! Dividing both terms by GCD of 40 gives us 80:200 = 2:5.
(9) A basket has 3 red balls and 5 blue balls. Write the ratio of red to total balls.
Excellent! Total balls = 3 + 5 = 8, so red to total is 3:8.
(10) Write the ratio of 12 pencils to 1 dozen pencils.
Perfect! Since 1 dozen = 12 pencils, the ratio 12:12 = 1:1.
Drag each ratio problem to its correct simplified answer:
(1) Simplify the ratio 150:250.
Find GCD of 150 and 250 =
150:250 = 150÷50 : 250÷50 =
Excellent! You correctly found the GCD and simplified the ratio to its lowest terms.
(2) Find the ratio of 45 cm to 1.5 m.
Convert to same units: 1.5 m =
Ratio = 45:150 =
Perfect! You converted units correctly and simplified 45:150 by dividing by GCD of 15.
(3) The ratio of boys to girls in a class is 3:4. If there are 18 boys, find the number of girls.
If boys = 3 parts = 18, then 1 part =
Girls = 4 parts = 4 × 6 =
Outstanding! Using the unitary method, you found there are 24 girls in the class.
(4) Two numbers are in the ratio 4:5. If their sum is 72, find the numbers.
Let numbers be 4x and 5x. Sum: 4x + 5x =
9x = 72, so x =
The numbers are
Excellent! The numbers 32 and 40 are indeed in the ratio 4:5.
(5) Divide ₹180 in the ratio 2:4.
Total parts = 2 + 4 =
First share = (2/6) × 180 = ₹
Second share = (4/6) × 180 = ₹
Excellent! The division ₹60 and ₹120 maintains the 2:4 ratio and totals ₹180.
Test your understanding with these multiple choice questions:
1. If 4 pens cost ₹40, the cost of 1 pen is:
(a) ₹5 (b) ₹10 (c) ₹15 (d) ₹20
Correct! Cost of 1 pen = ₹40 ÷ 4 = ₹10.
2. The scale 1 cm = 5 km means 3 cm represents:
(a) 10 km (b) 12 km (c) 15 km (d) 20 km
Correct! 3 cm × 5 km/cm = 15 km.
3. In the ratio 5:7, the first term is:
(a) 7 (b) 5 (c) 12 (d) None
Correct! In a ratio a:b, the first term is 'a', so it's 5.
4. If 6 mangoes cost ₹30, the cost of 12 mangoes is:
(a) ₹60 (b) ₹40 (c) ₹50 (d) ₹35
Correct! 12 mangoes = 2 × 6 mangoes, so cost = 2 × ₹30 = ₹60.
5. The ratio of 1 dozen to 18 is:
(a) 3:2 (b) 2:3 (c) 2:1 (d) 1:2
Correct! 1 dozen = 12, so 12:18 = 2:3.