OLNA - Online Literacy and Numeracy Assessment Numeracy: Ratios and Percentages Questions and Answers

Question 1

A school has a ratio of teachers to students of 1:18. If there are 540 students in the school, how many teachers are there?

Accepted Answer

30

Answer

The ratio 1:18 means there is 1 teacher for every 18 students. To find the total number of teachers, divide the total number of students by the student part of the ratio: 540 students ÷ 18 = 30 teachers.

Question 2

A survey of 300 people found that 65% preferred coffee over tea. How many people preferred coffee?

Accepted Answer

195

Answer

To find 65% of 300, convert the percentage to a decimal (65% = 0.65) and multiply it by the total number of people. Calculation: 0.65 * 300 = 195.

Question 3

After a 15% discount, the price of a jacket is $170. What was the original price of the jacket?

Accepted Answer

$200.00

Answer

A 15% discount means the sale price is 85% (100% - 15%) of the original price. To find the original price, divide the sale price by the percentage paid (as a decimal): $170 ÷ 0.85 = $200.

Question 4

In a bag of 50 marbles, 15 are red. What percentage of the marbles are red?

Accepted Answer

30%

Answer

To calculate the percentage, create a fraction representing the red marbles out of the total (15/50). Then, multiply this fraction by 100 to convert it to a percentage. Calculation: (15 ÷ 50) * 100 = 30%.

Question 5

A sports team won 12 games and lost 8 games. Which of the following represents the simplified ratio of wins to losses?

Accepted Answer

3:2

Answer

The initial ratio of wins to losses is 12:8. To simplify a ratio, find the greatest common factor (GCF) of both numbers. The GCF of 12 and 8 is 4. Divide both parts of the ratio by 4: (12 ÷ 4) : (8 ÷ 4) = 3:2.

OLNA - Online Literacy and Numeracy Assessment Practice Test

OLNA - Online Literacy and Numeracy Assessment Practice Test

OLNA - Online Literacy and Numeracy Assessment Numeracy: Ratios and Percentages Questions and Answers