What two-digit numbers can you make with these two dice? What can't you make?
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
What happens when you round these three-digit numbers to the nearest 100?
This activity focuses on rounding to the nearest 10.
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?
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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.
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?
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.
These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.
These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.
Can you find the chosen number from the grid using the clues?
How many different shapes can you make by putting four right-
angled isosceles triangles together?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Lorenzie was packing his bag for a school trip. He packed four
shirts and three pairs of pants. "I will be able to have a
different outfit each day", he said. How many days will Lorenzie be
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
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?
Using the cards 2, 4, 6, 8, +, - and =, what number statements can
Swap the stars with the moons, using only knights' moves (as on a
chess board). What is the smallest number of moves possible?
In this maze of hexagons, you start in the centre at 0. The next
hexagon must be a multiple of 2 and the next a multiple of 5. What
are the possible paths you could take?
Imagine that the puzzle pieces of a jigsaw are roughly a
rectangular shape and all the same size. How many different puzzle
pieces could there be?
Can you substitute numbers for the letters in these sums?
Only one side of a two-slice toaster is working. What is the
quickest way to toast both sides of three slices of bread?
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?
How many ways can you find to do up all four buttons on my coat?
How about if I had five buttons? Six ...?
Can you replace the letters with numbers? Is there only one
solution in each case?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
My coat has three buttons. How many ways can you find to do up all
Moira is late for school. What is the shortest route she can take from the school gates to the entrance?
Use the information to describe these marbles. What colours must be
on marbles that sparkle when rolling but are dark inside?
Can you find out in which order the children are standing in this
If you put three beads onto a tens/ones abacus you could make the
numbers 3, 30, 12 or 21. What numbers can be made with six beads?
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?
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?
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
What happens when you round these numbers to the nearest whole number?
This train line has two tracks which cross at different points. Can
you find all the routes that end at Cheston?
Have a go at balancing this equation. Can you find different ways of doing it?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
This challenge is about finding the difference between numbers which have the same tens digit.
El Crico the cricket has to cross a square patio to get home. He
can jump the length of one tile, two tiles and three tiles. Can you
find a path that would get El Crico home in three jumps?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Try this matching game which will help you recognise different ways of saying the same time interval.