Real-life questions with percentages and averages: test scores, the mean of a set of results and prices or numbers going up and down. Read the story, work it out and type the answer.
Ravi has 6 sweets and Zara has 2 sweets. They share them out so they both have the same. How many sweets does each of them get?
Per cent means out of 100.
10% is a tenth: divide by 10. 50% is a half.
A score as a percentage: find what one mark is worth out of 100, then multiply.
Increase: find the percentage of the amount, then add it on.
Decrease: find the percentage of the amount, then take it away.
Percentage change = the change ÷ the starting amount × 100.
Mean: add them all up, then divide by how many there are.
Range: the biggest take away the smallest.
Per cent means out of 100, so find what each mark is worth out of 100. Out of 20, each mark is 100 ÷ 20 = 5%, so 17 out of 20 is 17 × 5 = 85%. Out of 50, each mark is 2%.
Add up all the values, then divide by how many there are. For 4, 7 and 10: 4 + 7 + 10 = 21 and 21 ÷ 3 = 7. The mean is the level all the bars of a chart would reach if they were evened out.
Find the percentage of the amount, then add it on for an increase or take it away for a decrease. A 60 cm plant that grows by 20%: 10% is 6 cm, 20% is 12 cm, so it is now 72 cm. To find the percentage change, divide the change by the starting amount and multiply by 100.
Ages 5 to 7 find halves, share out fairly and read bar charts. Ages 7 to 9 turn marks out of 10 into percentages and find the mean of three numbers. Ages 9 to 11 find percentages of amounts and the mean from a chart. Ages 11 to 14 work with percentage increase, decrease and change.