List

What can you find out? - Upper Primary

Have a go at exploring as you look at these challenges, maybe with others. Talk about how it is going and if a slip-up occurs, then find a way out!

Half Time
problem

Half time

Age
5 to 11
Challenge level
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What could the half time scores have been in these Olympic hockey matches?
Nim-7
problem

Nim-7

Age
5 to 11
Challenge level
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Can you work out how to win this game of Nim? Does it matter if you go first or second?
En-counters
problem

En-counters

Age
5 to 7
Challenge level
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This task requires learners to explain and help others, asking and answering questions.

Ip Dip
problem

Ip dip

Age
5 to 11
Challenge level
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"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Sitting round the party tables
problem

Sitting round the party tables

Age
5 to 11
Challenge level
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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Dotty Six
problem

Dotty six

Age
5 to 11
Challenge level
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Dotty Six is a simple dice game that you can adapt in many ways.

Factors and Multiples Game
game
Favourite

Factors and multiples game

Age
7 to 16
Challenge level
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A game in which players take it in turns to choose a number. Can you block your opponent?

Exploring Wild & Wonderful Number Patterns
problem

Exploring wild and wonderful number patterns

Age
7 to 11
Challenge level
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EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Bracelets
problem

Bracelets

Age
7 to 11
Challenge level
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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Super Shapes
problem

Super shapes

Age
7 to 11
Challenge level
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The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Square Corners
problem

Square corners

Age
7 to 11
Challenge level
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What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Fractional Triangles
problem

Fractional triangles

Age
7 to 11
Challenge level
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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Nine-Pin Triangles
problem

Nine-pin triangles

Age
7 to 11
Challenge level
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How many different triangles can you make on a circular pegboard that has nine pegs?

What's in the Box?
problem

What's in the box?

Age
7 to 11
Challenge level
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This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Planning a School Trip
problem

Planning a school trip

Age
7 to 11
Challenge level
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You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
Counters in the middle
problem

Counters in the middle

Age
7 to 11
Challenge level
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This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

What shape?
problem

What shape?

Age
7 to 14
Challenge level
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This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Three neighbours
problem

Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?

This Pied Piper of Hamelin
problem

This Pied Piper of Hamelin

Age
7 to 11
Challenge level
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Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Pebbles
problem

Pebbles

Age
7 to 11
Challenge level
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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Four Go
problem

Four go

Age
7 to 11
Challenge level
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This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Arranging cubes
problem

Arranging cubes

Age
7 to 11
Challenge level
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A task which depends on members of the group working collaboratively to reach a single goal.