How many times do they flash together during a whole minute? What numbers could be inside the envelopes? Rectangle Tangle Age 7 to 11 Challenge Level: Zios and Zepts Age 7 to 11 Challenge Level: How many possible necklaces can you find? Four Go Age 7 to 11 Challenge Level:

Can you discover its value in each problem? Nine-pin Triangles Age 7 to 11 Challenge Level: Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. Got It Age 7 to 14 Challenge Level: How many extra pebbles are added each time? How many different trains can you make? Age 5 to 7 Reasoning and Convincing at KS1 The tasks in this collection can be used to encourage children to convince others of their reasoning, using ‘because’ statements.

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new “layer”?

# Ratio and Proportion KS2 :

How many extra pebbles are added each ka2 How many different shaped boxes can you design for 36 sweets in one layer? Trebling Age 7 to 11 Challenge Level: Beads and Bags Age 5 to 11 Challenge Level: A game for two people, or play online. Finding Fifteen Age 7 to 11 Challenge Level: What is the largest ‘ribbon square’ you can make? What’s in the Box?

Carrying Cards Age 7 to 11 Challenge Level: Multiplication and Division KS2. Can you sort out the clues and find the number?

## Ratio and Proportion KS2

I’m thinking of a number. My local DIY shop calculates the price of its windows according to the ptoblem of glass and the length of frame used.

Katie had a pack of 20 cards numbered from 1 to ndich Now try with a stick of 8 cubes and a stick of 6 cubes. Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Number live Age 7 to 11 Challenge Level: A ml bottle of concentrated orange squash is enough to make fifteen ml glasses of diluted orange drink.

Can you work out what is on each face and the route it has taken? She gave the clown six coins to pay for it. This problem looks at the patterns on differently sized square grids.

# Patterns and Sequences KS2 :

Can you work out how long it is between each super-eclipse? Factor Lines Age 7 to 14 Challenge Level: Can you make square numbers by adding two prime numbers together? Which of her domino pieces are missing? Can you find any two-digit numbers that satisfy all of these statements?

The tasks in this collection encourage upper primary children to conjecture and generalise. Can you replace the letters with numbers? Can you complete this solvung of the multiplication square? Make Age 7 to 11 Challenge Level: The value of the circle changes in each of the following problems. Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only? Ten cards are put into five envelopes so that there are two cards in each envelope.

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