Percentgaes – Mixed – Non-Calculator – Relay Race In this competitive activity, students work in teams to answer questions provided on small pieces of paper. Students should check their answers with the teacher (who can be anywhere in the room with their answer sheet). If students are correct they can collect the next numbered sheet (easily placed in piles face-up on a desk at the front). If students are wrong they can skip the question or be given 1 or more chances.

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

Relay Race! Percentage Problems

1 Convert these percentages to decimals. 2 Out of 50 students 23 have blonde hair. What percentage is this? 40% = 0.4 35% = 0.35 82% = 0.82 Out of 20 students 17 passed a maths test. What percentage failed the test? Convert these percentages to fractions. 10% = 1 10 60% = 3 5 25% = 1 4 A shop sold 24 chocolate ice creams, 6 strawberry and 10 vanilla. What percentage of the total was each flavour? 55% = 11 20 65% = 17 20 36% = 9 25 3 Daniel had 40 sweets. He gave 30% of the sweets to Marie. How many sweets did Marie get? 4 Increase 50 by 20% Decrease 80 by 30% Sarah had £5. She gave 15% of the money to Rob. How much money did Rob get? Josh robbed a bank! The safe had $460 in total. How much was in each bag? $460 Increase 240 by 35% Decrease 180 by 65% CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). 40% = $184 35% = $161 3% = $13.80 22% = $101.20 Increase 340 by 16% Decrease 420 by 19%

5 6 7 8 John put £350 in a bank account with a 24% interest rate per year. How much money does he earn from interest in one year? How much money is in the account at the end of the year? 6 Mark invested £200 in a clothing company. At the end of one year he had £280. What percentage increase is this? On her first maths test Anna got 60. On her second maths test Anna got 45. What percentage decrease is this? Sally invested £400 in a company. She lost 33%! How much money did she end up with? On his first science test Jim got 120 marks. On his second science test Jim got 114. What percentage change is this? Joe invested £280 in a company. He lost 77%! How much money did he end up with? 7 A t-shirt is on sale. 20% off! It now costs £16. How much was it before the sale? 8 Over one year a bar of gold increased in price by 15% It is now $345. How much did a bar cost at the start of the year? A pair of shoes are on sale. 30% off! They now cost £35. How much were they before the sale? CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). David bought a house. After 3 years he sold it to Jenny for a 10% profit. After 2 years Jenny sold the house for a 20% loss. Jenny sold the house for £176,000 How much did David buy the house for? A dress is on sale. 25% off! It now costs £60. How much was it before the sale?

Answer Sheet

1 Convert these percentages to decimals. 2 Out of 50 students 23 have blonde hair. What percentage is this? 46% 40% = 0.4 35% = 0.35 82% = 0.82 Out of 20 students 17 passed a maths test. What percentage failed the test? Convert these percentages to fractions. 15% 10% = 1 10 60% = 3 5 25% = 1 4 A shop sold 24 chocolate ice creams, 6 strawberry and 10 vanilla. What percentage of the total was each flavour? Chocolate = 60% 55% = 11 20 65% = 13 20 36% = 9 25 Strawberry = 15% Vanilla = 25% 3 Daniel had 40 sweets. He gave 30% of the sweets to Marie. How many sweets did Marie get? 4 12 Increase 50 by 20% Decrease 80 by 30% Sarah had £5. She gave 15% of the money to Rob. How much money did Rob get? 60 56 75p Josh robbed a bank! The safe had $460 in total. How much was in each bag? $460 Increase 240 by 35% Decrease 180 by 65% CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). 324 63 40% = $184 35% = $161 3% = $13.80 22% = $101.20 Increase 340 by 16% Decrease 420 by 19% 394.4 340.2

5 John put £350 in a bank account with a 24% interest rate per year. How much money does he earn from interest in one year? How much money is in the account at the end of the year? 6 Mark invested £200 in a clothing company. At the end of one year he had £280. What percentage increase is this? £84 40% £434 On her first maths test Anna got 60. On her second maths test Anna got 45. What percentage decrease is this? Sally invested £400 in a company. She lost 33%! How much money did she end up with? 25% £268 On his first science test Jim got 120 marks. On his second science test Jim got 114. What percentage change is this? Joe invested £280 in a company. He lost 77%! How much money did he end up with? £64.40 5% decrease 7 A t-shirt is on sale. 20% off! It now costs £16. How much was it before the sale? 8 Over one year a bar of gold increased in price by 15% It is now $345. How much did a bar cost at the start of the year? £20 $300 A pair of shoes are on sale. 30% off! They now cost £35. How much were they before the sale? CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). David bought a house. After 3 years he sold it to Jenny for a 10% profit. After 2 years Jenny sold the house for a 20% loss. Jenny sold the house for £176,000 How much did David buy the house for? £50 £220,000 A dress is on sale. 25% off! It now costs £60. How much was it before the sale? £200,000 £80

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk