Question 1

Find the ratio of 3 km to 300 m.

Accepted Answer

To find the ratio, both quantities must be in the same units. We know that 1 km = 1000 m. Therefore, 3 km = 3 × 1000 = 3000 m. The ratio of 3000 m to 300 m is 3000 : 300. Simplifying this, 3000 ÷ 300 = 10 and 300 ÷ 300 = 1, so the ratio is 10 : 1.

Question 2

Convert the fraction 1/4 to percentage.

Accepted Answer

To convert a fraction into a percentage, multiply the fraction by 100%. Therefore, (1/4) × 100% = 100/4 % = 25%. Thus, 1/4 is equal to 25%.

Question 3

Convert 0.05 to percentage.

Accepted Answer

To convert a decimal into a percentage, multiply the decimal by 100 and put the percent sign (%). So, 0.05 × 100% = 5%.

Question 4

Out of 40 students in a class, 10 are interested in Mathematics. What percentage of students are interested in Mathematics?

Accepted Answer

The percentage of students interested in Mathematics is calculated as (Number of interested students / Total students) × 100%. So, (10 / 40) × 100% = (1 / 4) × 100% = 25%.

Question 5

If 65% of students in a class have a bicycle, what percentage of students do NOT have a bicycle?

Accepted Answer

The total percentage of students in a class is always 100%. The percentage of students who do not have a bicycle is 100% - 65% = 35%.

Comparing Quantities