Number problems at primary level that require careful consideration.
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
What two-digit numbers can you make with these two dice? What can't you make?
Have a go at balancing this equation. Can you find different ways of doing it?
Can you work out some different ways to balance this equation?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
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?
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
I was in my car when I noticed a line of four cars on the lane next
to me with number plates starting and ending with J, K, L and M.
What order were they in?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Start with three pairs of socks. Now mix them up so that no
mismatched pair is the same as another mismatched pair. Is there
more than one way to do it?
Try this matching game which will help you recognise different ways of saying the same time interval.
Follow the clues to find the mystery number.
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?
What happens when you round these three-digit numbers to the nearest 100?
This activity focuses on rounding to the nearest 10.
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?
Can you find the chosen number from the grid using the clues?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you replace the letters with numbers? Is there only one
solution in each case?
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
In this matching game, you have to decide how long different events take.
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?
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?
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.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Tim's class collected data about all their pets. Can you put the
animal names under each column in the block graph using the
Chandra, Jane, Terry and Harry ordered their lunches from the
sandwich shop. Use the information below to find out who ordered
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
My briefcase has a three-number combination lock, but I have
forgotten the combination. I remember that there's a 3, a 5 and an
8. How many possible combinations are there to try?
What could the half time scores have been in these Olympic hockey
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
Make a pair of cubes that can be moved to show all the days of the
month from the 1st to the 31st.
Alice and Brian are snails who live on a wall and can only travel
along the cracks. Alice wants to go to see Brian. How far is the
shortest route along the cracks? Is there more than one way to go?
There are 44 people coming to a dinner party. There are 15 square
tables that seat 4 people. Find a way to seat the 44 people using
all 15 tables, with no empty places.
What happens when you try and fit the triomino pieces into these
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.
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?
A merchant brings four bars of gold to a jeweller. How can the
jeweller use the scales just twice to identify the lighter, fake
This magic square has operations written in it, to make it into a
maze. Start wherever you like, go through every cell and go out a
total of 15!
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.