# Mathematical challenges for able pupils Year 6 E Counting ... Mathematical challenges for able pupils Year 6 E Counting, partitioning and calculating Money bags Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p, without opening any bag. How many pennies did Ram put in each bag? Learning Objective:

Solve mathematical problems or puzzles. Explain methods and reasoning. Solution to Money bags Ram put 1p, 2p, 4p and 8p in the four bags. Any sum from 1p to 15p can be made with these amounts. Learning Objective: Solve mathematical problems or puzzles.

Explain methods and reasoning. Slick Jim Slick Jim won the lottery. He spent two thirds of his winnings on a very posh house. He spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last 20000 on a flashy car.

How much did Slick Jim win on the lottery? Learning Objective: Solve a problem by organising information. Find fractions of quantities. Understand the relationship between multiplication and division. Solution to Slick Jim

Jim won 540 000. Learning Objective: Solve a problem by organising information. Find fractions of quantities. Understand the relationship between multiplication and division. Coins on the table Anna put some 10p coins on the table. One half of them were tails up.

Anna turned over two of the coins, and then one third of them were tails up. How many coins did Anna put on the table? Learning Objective: Solve mathematical problems or puzzles. Understand simple fractions. Explain methods and reasoning. Solution for Coins on the table

Anna put 12 coins on the table. Learning Objective: Solve mathematical problems or puzzles. Understand simple fractions. Explain methods and reasoning. Pet shop 1. Jim bought a cat and dog for 60 each.

Later he sold them. He made a profit of 20% on the dog. He made a loss of 20% on the cat. How much did he get altogether when he sold the cat and dog? Learning Objective: Solve mathematical problems or puzzles. Find simple percentages. Pet shop

2. Jim bought another cat and dog. He sold them for 60 each. He made a profit of 20% on the dog. He made a loss of 20% on the cat. Did he make a profit or loss on the whole deal? Learning Objective: Solve mathematical problems or puzzles. Understand simple fractions. Explain methods and reasoning.

Pet shop 1. Jim sold the dog and the cat for 72 and 48 respectively, a total of 120. 2. The dog cost 50 and the cat cost 75, a total of 125. The cat and the dog were sold for a total of 120, so Jim made a loss of 5. Learning Objective: Solve mathematical problems or puzzles.

Find simple percentages. Eggs Mrs Choy spent exactly 10 on 100 eggs for her shop. Large eggs cost her 50p each. Medium eggs cost her 10p each. Small eggs cost her 5p each. For two of the sizes, she bought the same number of eggs. How many of each size did she buy? Learning Objective: Solve problems involving ratio and proportion.

Explain methods and reasoning. Solution for Eggs Mrs Choy bought: 10 large eggs at 50p each, 10 medium eggs at 10p each, 80 small eggs at 5p each. Learning Objective: Solve problems involving ratio and proportion.

Explain methods and reasoning. The end,thank you! References and additional resources. The questions from this PowerPoint came from: Mathematical challenges for able pupils in Key Stages 1 and 2 Corporate writer was Department for Education and Employment and it is produced under a Crown copyright 2000 Thank You PowerPoint template published by www.ksosoft.com These Mental Maths challenges can be found as a PDF file at :

http://www.edu.dudley.gov.uk/numeracy/problem_solving/Mathematical%20Challenges%20Book.pdf Contains public sector information licensed under the Open Government Licence v3.0. (http://www.nationalarchives.gov.uk/doc/ open-government-licence/version/3/) All images used in this PowerPoint was found at the free Public Domain Clip Art site. (https://openclipart.org/) These units were organised using advice given at: http://www.edu.dudley.gov.uk/numeracy/problem_solving/Challenges%20and%20Blocks.doc Where Can I Find More Resources Like This? You can now visit my teaching resource website at http://www.DrFog.co.uk You can click here to search for more of my teaching resources.