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What two-digit numbers can you make with these two dice? What can't you make?
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
Here are some short problems for you to try. Talk to your friends about how you work them out.
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Can you use the information to find out which cards I have used?
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.
What could the half time scores have been in these Olympic hockey matches?
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?
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line. Can you work out where their counters will land?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
Can you hang weights in the right place to make the the number balance balanced?
An environment which simulates working with Cuisenaire rods.
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
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?
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?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
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?
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
What do you notice about these squares of numbers? What is the same? What is different?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?
Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?
Make one big triangle so the numbers that touch on the small triangles add to 10.
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
Use these four dominoes to make a square that has the same number of dots on each side.
Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
Find all the numbers that can be made by adding the dots on two dice.
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Can you go through this maze so that the numbers you pass add to exactly 100?
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?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.