List

Adding and Subtracting

Totality
problem
Favourite

Totality

Age
5 to 11
Challenge level
filled star empty star empty star
This is an adding game for two players. Can you be the first to reach the target?
Strike it out
problem
Favourite

Strike it out

Age
5 to 11
Challenge level
filled star empty star empty star

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

Money Bags
problem
Favourite

Money bags

Age
5 to 11
Challenge level
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Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
First Connect Three for Two
game

First connect three for two

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Consecutive Numbers
problem
Favourite

Consecutive numbers

Age
7 to 14
Challenge level
filled star empty star empty star

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

Super Shapes
problem
Favourite

Super shapes

Age
7 to 11
Challenge level
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The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Plenty of Pens
problem
Favourite

Plenty of pens

Age
7 to 11
Challenge level
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Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

First Connect Three
problem
Favourite

First connect three

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Sea Level
problem
Favourite

Sea level

Age
7 to 11
Challenge level
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The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

Three Dice
problem
Favourite

Three dice

Age
7 to 11
Challenge level
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Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Fifteen cards
problem
Favourite

Fifteen cards

Age
7 to 11
Challenge level
filled star empty star empty star
Can you use the information to find out which cards I have used?
Roll these Dice
problem
Favourite

Roll these dice

Age
7 to 11
Challenge level
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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?

Maze 100
problem
Favourite

Maze 100

Age
7 to 11
Challenge level
filled star filled star empty star
Can you go through this maze so that the numbers you pass add to exactly 100?
Amy's Dominoes
problem
Favourite

Amy's dominoes

Age
7 to 11
Challenge level
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Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
Twenty Divided into Six
problem
Favourite

Twenty divided into six

Age
7 to 11
Challenge level
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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?
Reach 100
problem
Favourite

Reach 100

Age
7 to 11
Challenge level
filled star filled star empty star

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.

Sealed Solution
problem
Favourite

Sealed solution

Age
7 to 11
Challenge level
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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?
Got It
problem
Favourite

Got it

Age
7 to 14
Challenge level
filled star filled star empty star

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.

Six Ten Total
problem
Favourite

Six ten total

Age
7 to 11
Challenge level
filled star filled star empty star
This challenge combines addition, multiplication, perseverance and even proof.
Six Numbered Cubes
problem
Favourite

Six numbered cubes

Age
7 to 11
Challenge level
filled star filled star empty star
This task combines spatial awareness with addition and multiplication.
A Bit of a Dicey problem
problem

A bit of a dicey problem

Age
7 to 11
Challenge level
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When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Dice in a Corner
problem
Favourite

Dice in a corner

Age
7 to 11
Challenge level
filled star filled star filled star

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

The Dice Train
problem
Favourite

The dice train

Age
7 to 11
Challenge level
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This dice train has been made using specific rules. How many different trains can you make?