Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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 find the chosen number from the grid using the clues?
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Follow the clues to find the mystery number.
Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
How will you go about finding all the jigsaw pieces that have one peg and one hole?
Use the clues to colour each square.
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?
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Number problems at primary level that require careful consideration.
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
What is the best way to shunt these carriages so that each train can continue its journey?
Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
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?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
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?
Try out the lottery that is played in a far-away land. What is the chance of winning?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
What two-digit numbers can you make with these two dice? What can't you make?
How long does it take to brush your teeth? Can you find the matching length of time?
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Design an arrangement of display boards in the school hall which fits the requirements of different people.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
What happens when you try and fit the triomino pieces into these two grids?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?
Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
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.
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?