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Understanding Percentages
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Understanding Percentages
At a local chess tournament, players are tracking scores, entries and prize deals using percentages. Work through each challenge. Show your thinking when asked.
Tournament scoreboards
Use the 100-square grid and number line to explore percentages.
1.Talia won 35% of her tournament games. Shade 35 squares in the 100-square grid to show her win percentage. How many squares remain unshaded?
2.The number line runs from 0% to 100%. Write 25%, 50% and 75% at the correct tick marks. Which percentage is exactly halfway between 0% and 100%?
3.At the tournament, 25% of the players chose the rapid-chess event. Which fraction is equal to 25%?
- 1/2
- 1/3
- 1/4
- 3/4
Make the numbers work
Use percentages to solve tournament puzzles and prize calculations.
4.There are 80 players in the tournament. 25% of them are in the junior division. How many players are in the junior division? Show a calculation.
5.A chess set costs $40. At the tournament stall it is 50% off. What is the discount, and what is the sale price?
6.Tevita scores 15 points out of a possible 20 in a tournament round. What percentage of the points does he score? Write your method.
7.Mere wins 18 out of 24 games. Talia wins 21 out of 30 games. Work out each win percentage and decide who has the higher win percentage.
8.A player wins 60 games out of 100. The win percentage is 6%. Is this statement true or false? Correct it if needed.
TrueFalse
9.The tournament has 200 entry places. If 10% are still available, how many places are left? Complete: 10% of 200 = places.
10.Write a short chess-tournament problem whose answer uses 20% of a quantity. Then solve your problem and show how you found the answer.
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