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This problem looks at how one example of your choice can show something about the general structure of multiplication.

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Can you decide whose drink has the strongest blackcurrant flavour from these pictures?

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Have a go at balancing this equation. Can you find different ways of doing it?

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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?

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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?

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

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Using the picture of the fraction wall, can you find equivalent fractions?

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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

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Would you rather: Have 10% of Â£5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

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This activity involves rounding four-digit numbers to the nearest thousand.

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What happens when you round these numbers to the nearest whole number?

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Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

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

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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?

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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

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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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Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

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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.

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Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

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A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

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Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

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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?

Who first used fractions? Were they always written in the same way? How did fractions reach us here? These are the sorts of questions which this article will answer for you.

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

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Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

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

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A game in which players take it in turns to choose a number. Can you block your opponent?

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

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This activity encourages you to measure the length of lines accurately.

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How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

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What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

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Can you match these pairs of distances, one in miles and one in kilometres?

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If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.

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In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

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Investigate the different distances of these car journeys and find out how long they take.

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How many centimetres of rope will I need to make another mat just like the one I have here?

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Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

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These clocks have only one hand, but can you work out what time they are showing from the information?

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On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear?

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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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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

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Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

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How much do you have to turn these dials by in order to unlock the safes?

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Investigate the properties of triangles with this task.

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Use the isometric grid paper to find the different polygons.

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You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

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Have a look at this table of how children travel to school. How does it compare with children in your class?

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You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.

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Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

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Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?