Primary Summer Challenges 2023

game

Favourite

Dicey Operations in Line

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

problem

Favourite

Roll these Dice

Age

7 to 11

Challenge level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

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Three block towers

Age

5 to 7

Challenge level

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

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Favourite

Biscuit Decorations

Age

5 to 7

Challenge level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

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Skip Counting

Age

5 to 7

Challenge level

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

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Favourite

Missing Middles

Age

5 to 7

Challenge level

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

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Favourite

Making Sticks

Age

5 to 7

Challenge level

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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Favourite

Domino Sequences

Age

5 to 7

Challenge level

Find the next two dominoes in these sequences.

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Family Tree

Age

7 to 11

Challenge level

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

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Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

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Favourite

Square Corners

Age

7 to 11

Challenge level

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?

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Sets of Numbers

Age

7 to 11

Challenge level

How many different sets of numbers with at least four members can you find in the numbers in this box?

problem

Favourite

Sealed Solution

Age

7 to 11

Challenge level

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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Favourite

Nim-7

Age

5 to 11

Challenge level

Can you work out how to win this game of Nim? Does it matter if you go first or second?

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Seven Flipped

Age

7 to 11

Challenge level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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Favourite

Shape Times Shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

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Favourite

Factor track

Age

7 to 11

Challenge level

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

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Favourite

Fifteen cards

Age

7 to 11

Challenge level

Can you use the information to find out which cards I have used?

problem

Favourite

Incey Wincey Spider

Age

5 to 7

Challenge level

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

problem

Favourite

More Less is More

Age

7 to 14

Challenge level

In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.

Two flowers with the numbers 15 and 16 on them

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Favourite

Butterfly Flowers

Age

5 to 7

Challenge level

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

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Tangrams

Age

5 to 11

Challenge level

Can you make five differently sized squares from the interactive tangram pieces?

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Favourite

Less is More

Age

7 to 11

Challenge level

Use your knowledge of place value to try to win this game. How will you maximise your score?

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Favourite

Coded hundred square

Age

7 to 11

Challenge level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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Favourite

First Connect Three

Age

7 to 11

Challenge level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

problem

Favourite

Robot Monsters

Age

5 to 7

Challenge level

Use these head, body and leg pieces to make Robot Monsters which are different heights.

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Favourite

Dozens

Age

7 to 14

Challenge level

Can you select the missing digit(s) to find the largest multiple?

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Favourite

4 Dom

Age

5 to 11

Challenge level

Use these four dominoes to make a square that has the same number of dots on each side.

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Teddy Town

Age

5 to 11

Challenge level

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?