List

Year 2 Working systematically

Let's Investigate Triangles
problem
Favourite

Let's investigate triangles

Age
5 to 7
Challenge level
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Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

A City of Towers
problem
Favourite

A city of towers

Age
5 to 7
Challenge level
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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Magnifying glass
problem
Favourite

Number detective

Age
5 to 11
Challenge level
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Follow the clues to find the mystery number.

Break it up!
problem
Favourite

Break it up!

Age
5 to 11
Challenge level
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In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Cuisenaire Counting
problem
Favourite

Cuisenaire counting

Age
5 to 7
Challenge level
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Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Are you well Balanced?
problem
Favourite

Are you well balanced?

Age
5 to 7
Challenge level
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Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
Growing Garlic
problem
Favourite

Growing garlic

Age
5 to 11
Challenge level
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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Inside Triangles
problem
Favourite

Inside triangles

Age
5 to 7
Challenge level
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How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Half Time
problem
Favourite

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?
Unit Differences
problem
Favourite

Unit differences

Age
5 to 7
Challenge level
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This challenge is about finding the difference between numbers which have the same tens digit.
Tables Teaser
problem
Favourite

Tables teaser

Age
5 to 7
Challenge level
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How will you work out which numbers have been used to create this multiplication square?
Fruity Pairs
problem
Favourite

Fruity pairs

Age
5 to 7
Challenge level
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Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Five Coins
problem
Favourite

Five coins

Age
5 to 11
Challenge level
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Ben has five coins in his pocket. How much money might he have?
6 Beads
problem
Favourite

6 beads

Age
5 to 7
Challenge level
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If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

The Puzzling Sweet Shop
problem
Favourite

The puzzling sweet shop

Age
5 to 11
Challenge level
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There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Birthday Cakes
problem
Favourite

Birthday cakes

Age
5 to 7
Challenge level
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Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
Heads and Feet
problem
Favourite

Heads and feet

Age
5 to 7
Challenge level
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On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Eggs in Baskets
problem
Favourite

Eggs in baskets

Age
5 to 7
Challenge level
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There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
Three Ball Line Up
problem
Favourite

Three ball line up

Age
5 to 7
Challenge level
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Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Triangle Animals
problem
Favourite

Triangle animals

Age
5 to 7
Challenge level
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How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Jumping squares
problem
Favourite

Jumping squares

Age
5 to 7
Challenge level
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In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
School fair necklaces
problem
Favourite

School fair necklaces

Age
5 to 11
Challenge level
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How many possible symmetrical necklaces can you find? How do you know you've found them all?
Lots of Lollies
problem
Favourite

Lots of lollies

Age
5 to 7
Challenge level
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Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Complete the Square
problem
Favourite

Complete the square

Age
5 to 7
Challenge level
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Complete the squares - but be warned some are trickier than they look!

Stop the Clock
problem
Favourite

Stop the clock

Age
5 to 7
Challenge level
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This is a game for two players. Can you find out how to be the first to get to 12 o'clock?