Challenge Level

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?

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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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Can you find the chosen number from the grid using the clues?

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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?

Challenge Level

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

Challenge Level

You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?

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There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

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If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?

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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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48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

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

Challenge Level

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

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The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

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Can you make square numbers by adding two prime numbers together?

Challenge Level

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

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Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

Challenge Level

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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Number problems at primary level that may require resilience.

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

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How will you work out which numbers have been used to create this multiplication square?

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On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Challenge Level

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

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Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?

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How many different rectangles can you make using this set of rods?

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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?

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There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

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One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

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Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

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Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.

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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

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Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

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A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Challenge Level

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

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Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Challenge Level

What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

Challenge Level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

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Number problems at primary level to work on with others.

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Can you sort numbers into sets? Can you give each set a name?

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An investigation that gives you the opportunity to make and justify predictions.

Challenge Level

Can you find different ways of creating paths using these paving slabs?

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In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

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Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?