1. Hot Shots I am learning to work out percentages of amounts. % Percentages are out of 100. 100

2. Tim got 18 out of 25 in a test and Scott got 45 out of 50 in a test. Who got the best result ? We need to change the tests into percentages so that we can compare them. Let’s start by changing Tim’s score (18 out of 25) into a percentage. Multiplying the numerator and denominator by 4 will give us an equivalent fraction out of 100 X 4 72 18 0 50 25 75 100 72% X 4

3. Now we need to turn Scott’s score (45 out of 50 into a percentage). Multiplying the numerator and denominator by 2 will give us an equivalent fraction out of 100 X 2 45 90 0 50 25 75 100 90% X 2 Tim scored 72% and Scott scored 90%. It is now easy to see that Scott got the best result.

4. Room 13 completed a maths test out of 40. Help the teacher convert some student scores into percentages. If the test is out of 40. What would 50% be? What would 25% be? Tip: 25% is half of a half. What would 75% be? Tip: a half plus one quarter. 10 0 20 40 30 0% 50% 25% 75% 100% The number line above is called a double number line. You can see it is very helpful to imagine when converting scores into percentages.

5. Room 9 completed a science quiz which was out of 16. Help the teacher convert some student scores into percentages. If the test is out of 16. What would 50% be? What would 25% be? Tip: 25% is half of a half. What would 75% be? Tip: a half plus one quarter. What would a score of 2 out of 16 be as a percentage? You can see that 2 is exactly halfway between 0 and 25%. Half of 25% is 12.5%. 4 0 8 2 16 12 0% 50% 25% 12.5% 75% 100%

6. Now try these questions on your own. Change these fractions into percentages Click again when you have worked out all your answers. 33% 6) 7) 8) 9) 10) 25% 1) 2) 3) 4) 5) 20% 50% 48% 50% 150% 25% 75% 20% Need some more practise? Try pg34 & 35 of Teacher Tools Fractions, Decimals and Percentages Book Numeracy resources