Mathematical challenges for able pupils Year 4 C Handling data and measures

Treasure hunt Jed and Jake are pirates. Between them they have three precious jewels: a ruby (R), a diamond (D) and an emerald (E). Complete the table. Show what jewels each pirate could have. Jed Jake R E D Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

Treasure hunt Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

How far do I walk? Tara says: “The distance to school from my house is about 650m. I walk to school every day and on Saturday I walk to the shops and back with my mum. This is about 0.8km away from home. How far does Tara walk each week? Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

How far do I walk? Tara says: “The distance to school from my house is about 750m. I walk to school every day. I come home for lunch. On Saturday I walk to the shops and back with my mum. This is about 0.8km away from home. How far does Tara walk each week? Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

Solution for How far do I walk Q1 10 x 650m = 6500 m 2 x 800m (0.8km) = 1600 Total = 8100m or 8.1km Q2 20 x 750m = 15000m (15km) 2 x 800m (0.8km) = 1600 Total = 16600m or 16.6km

Sail away Two men and two women want to sail to an island. The boat only carries 50kg. The boat will only hold two women weighing 25 kg each or one man who weighs 50kg. How can all four of them get to the island? Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

Solution to Sail away Two women cross the river together. One woman stays there and one brings the boat back. One man crosses the river. One woman brings the boat back. The second man crosses the river. Learning Objective: Solve a given problem by organising and interpreting data in a simple table. Explain methods and reasoning.

What is the weight of each cat? Kieron’s cats Kieron has three cats. Each is a different weight. The first and second weigh 7kg altogether. The second and third weigh 8 kg altogether. The first and third weigh 11 kg altogether. What is the weight of each cat? Learning Objective: Solve mathematical problems or puzzles. Know addition and subtraction facts to 20. Explain methods and reasoning.

Solution to Kieron’s cats Kieron’s cats weigh 5 kg, 2 kg and 6 kg. Learning Objective: Solve mathematical problems or puzzles. Know addition and subtraction facts to 20. Explain methods and reasoning.

Next door numbers 1 2 3 4 5 6 7 8 9 10 Arrange the cards like this. Take ten cards numbered 0 to 9. Arrange the cards like this. 1 2 3 4 5 6 7 8 9 10 Do it so that no two consecutive numbers are next to each other, horizontally, vertically or diagonally. There are lots of ways to do it. How many ways can you find? Learning Objective: Solve mathematical problems or puzzles. Know addition and subtraction facts to 20. Explain methods and reasoning.

Solution to next door numbers Here are a few examples for you... how many did you find? Learning Objective: Solve mathematical problems or puzzles. Know addition and subtraction facts to 20. Explain methods and reasoning.

How many chairs are there on the ski lift? On a ski lift the chairs are equally spaced. They are numbered in order from 1. Kelly went snowboarding. She got in chair 10 to go to the top of the slopes. Exactly half way to the top, she passed chair 100 on its way down. How many chairs are there on the ski lift? Learning Objective: Solve mathematical problems or puzzles. Solve a problem by organising information. Explain methods and reasoning.

The ski lift has 180 chairs. Solution to Ski lift Learning Objective: Solve mathematical problems or puzzles. Solve a problem by organising information. 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