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Investigations. Addition & subtraction. Combinations. Counting. Comparing and ordering numbers. Visualising. Multiplication & division. Games. Practical Activity. Working systematically.There are 218 results
Broad Topics > Calculations and Numerical Methods > Addition & subtraction
Routes 1 and 5
Age 5 to 7
Challenge Level
Find your way through the grid starting at 2 and following these operations. What number do you end on?
Painting Possibilities
Age 7 to 11
Challenge Level
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
Sort Them Out (1)
Age 5 to 7
Challenge Level
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Bean Bags for Bernard's Bag
Age 7 to 11
Challenge Level
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
Folded Number Line
Age 7 to 11
Challenge Level
When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
Neighbours
Age 7 to 11
Challenge Level
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?
Pairs of Numbers
Age 5 to 7
Challenge Level
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?
Big Dog, Little Dog
Age 5 to 7
Challenge Level
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?
Up and Down
Age 5 to 7
Challenge Level
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
The Amazing Splitting Plant
Age 5 to 7
Challenge Level
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
Mrs Beeswax
Age 5 to 7
Challenge Level
In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
Making Longer, Making Shorter
Age 5 to 7
Challenge Level
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
Page Numbers
Age 7 to 11 Short
Challenge Level
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
First Connect Three for Two
Age 7 to 11
Challenge Level
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.
More Playing with Number Lower Primary
Age 5 to 7
Some additional activities to develop children's understanding of addition and subtraction of number through playing with number.
Arranging Additions and Sorting Subtractions
Age 5 to 7
Challenge Level
Order these four calculations from easiest to hardest. How did you decide?
Planet Plex Time
Age 5 to 7
Challenge Level
On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?
What's in a Name?
Age 5 to 7
Challenge Level
What do you notice about these squares of numbers? What is the same? What is different?
Sort Them Out (2)
Age 7 to 11
Challenge Level
Can you each work out the number on your card? What do you notice? How could you sort the cards?
The Add and Take-away Path
Age 5 to 7
Challenge Level
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?
Polo Square
Age 7 to 11
Challenge Level
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
Dodecamagic
Age 7 to 11
Challenge Level
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
Starfish Spotting
Age 5 to 7
Challenge Level
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
Tug of War
Age 5 to 7
Challenge Level
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Being Collaborative - Lower Primary Number
Age 5 to 7
Number problems for you to work on with others.
Train Carriages
Age 5 to 11
Challenge Level
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Twizzle's Journey
Age 5 to 7
Challenge Level
Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
Pouring the Punch Drink
Age 7 to 11
Challenge Level
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
All Seated
Age 7 to 11
Challenge Level
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Pass the Peas, Please
Age 5 to 7
Challenge Level
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Open Squares
Age 7 to 11
Challenge Level
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
A Numbered Route
Age 7 to 11
Challenge Level
Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
On Target
Age 7 to 11
Challenge Level
You have 5 darts and your target score is 44. How many different ways could you score 44?
How Do You Do It?
Age 7 to 11
Challenge Level
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
Sorting the Numbers
Age 5 to 11
Challenge Level
Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?
Robot Monsters
Age 5 to 7
Challenge Level
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Ring a Ring of Numbers
Age 5 to 7
Challenge Level
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Here to There 1 2 3
Age 5 to 7
Challenge Level
Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
Consecutive Numbers
Age 7 to 14
Challenge Level
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Follow the Numbers
Age 7 to 11
Challenge Level
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.
Fruity Pairs
Age 5 to 7
Challenge Level
Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?
Six Is the Sum
Age 7 to 11
Challenge Level
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Hubble, Bubble
Age 7 to 11
Challenge Level
Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
Rabbits in the Pen
Age 7 to 11
Challenge Level
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Fair Exchange
Age 5 to 7
Challenge Level
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Being Resourceful - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level that require careful consideration.
Double or Halve?
Age 5 to 7
Challenge Level
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Domino Join Up
Age 5 to 7
Challenge Level
Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?
The Twelve Pointed Star Game
Age 7 to 11
Challenge Level
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
Caterpillars
Age 5 to 7
Challenge Level
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
NRICH is part of the family of activities in the Millennium Mathematics Project.