Being curious - Primary number

Dotty Six is a simple dice game that you can adapt in many ways.

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

What do you see as you watch this video? Can you create a similar video for the number 12?

Try out this number trick. What happens with different starting numbers? What do you notice?

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

This activity focuses on doubling multiples of five.

This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

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

Can you spot the mistake in this video? How would you work out the answer to this calculation?

Can you match pairs of cards which show the same amount?

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

How would you find out how many football cards Catrina has collected?

Follow the clues to find the mystery number.

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

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

These pictures show squares split into halves. Can you find other ways?

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

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.

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

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

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

You'll need to know your number properties to win a game of Statement Snap...

Try out these calculations. Are you surprised by the results?

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

How much can you read into a T-shirt?

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

There are six numbers written in five different scripts. Can you sort out which is which?

Watch this animation. What do you see? Can you explain why this happens?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

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?

What numbers would you put on this number line as it goes under the sea level?

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

There are nasty versions of this dice game but we'll start with the nice ones...

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?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

Take three consecutive numbers and add them together. What do you notice?

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?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

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?