Fun Mathematics Investigations for Kids

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Engage your child in stimulating mathematical investigations with scenarios like choosing snacks, dividing coins into bags, and solving puzzles in a sweet shop. Encourage independent thinking and problem-solving skills while exploring concepts like combinations, ordering costs, and making decisions with limited resources.


Uploaded on Jul 18, 2024 | 1 Views


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  1. Maths Extension Work Investigations

  2. Remember: Investigations are about how your child solves the problem. What mathematical skills did they use? Encourage them to read and solve the investigation independently Only help when they need it

  3. Fruity Pairs Age 5 to 7 Kate and her brother, Sam, take a snack to school everyday. Today they find a pot of raisins, a banana and two apples in the kitchen. They choose one item each. What could Kate and Sam choose? Can you think of a different combination of two items? Can you find all the combinations of two items? How do you know you have got them all? Mum complains that all the food they eat costs her a lot of money! She works out that a pot of raisins is 11p, a banana is 14p and an apple is 27p. Can you order the different possible choices from the pair that costs the least to the pair that is most expensive? How did you decide? We would love to hear your reasoning.

  4. Money Bags Age 5 to 11 Ram divided 15 pennies among four small bags. He labelled each bag with the number of pennies inside it. 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?

  5. The Puzzling Sweet Shop Age 5 to 11 Rosie went into the sweet shop with 10p to spend. There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p. What could she buy if she wanted to spend all her money? Alice, James, Katie and Henry went into the shop too. They each had 20p to spend and they all spent all of their money. Alice bought at least one of each kind of sweet. Which one did she have two of? James spent his money on just one kind of sweet, but he does not like chews. Which sweets did he buy? Katie bought the same number of sweets as James but she had 3 different kinds. Which sweets did she buy? Henry chose 8 sweets. What could he have bought?

  6. Five Coins Age 5 to 11 Ben has five coins in his pocket. How much money might he have?

  7. Money Line-up This investigation does not have any solutions submitted yet. Maybe you could submit yours. Teacher resources helpful notes can be found here Submit your solution optional

  8. Money Line-up Age 5 to 7 This is a game for two players. It would be good to use your own currency for this game, but we will explain the rules using dollars. You will need:a copy of the board (or you could draw out a five by five grid) one 50c coin, four 25c coins and seven 10c coins for each player How to play: 1. Decide who will go first. 2. Players take turns to put one coin on one of the squares. 3. The winner is the first to make a row (horizontally, vertically or diagonally) of four coins which add to one dollar. Do you think it is better to go first or second? Can you find some good ways to try to win the game?

  9. Solutions Remember: Investigations are about how your child solves the problem. What mathematical skills did they use? Encourage them to read and solve the investigation independently Only help when they need it

  10. Solutions can be found on these links Please note the different ways in which children solve these investigations they don t have to be completed in 1 session Fruity Pairs Money bags The puzzling sweet shop Five coins

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