How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

A game in which players take turns to add a single-digit number to what is already in the calculator. The winner is the player who makes the display show 30.

Work out the number of chin ups the characters do on the last day of the week give information about averages.

Can you use the digits on the left of this clock along with any mathematical operations to equal the digits on the right?

Three consecutive numbers multiplied together give a given product. Pupils are asked to figure out what the numbers are.

Arrange the digits 1 to 6 to make a three digit number divided by a two digit number giving a one digit answer.

Find out which of the calculator keys is faulty from the given information. A mathematical puzzle requiring good problem solving strategies.

An activity involving a broken calculator which is missing the four button. Can you evaluate the given expressions without using the four?

A clock face containing only the number 4. Can you make a clock face containing any other single number?

The height of this giraffe is three and a half metres plus half of its height. How tall is the giraffe?

If all the students in this room shook hands with each other, how many handshakes would there be altogether?

If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method.

How many triangles are hidden in the pattern? What strategy might you use to count them all to ensure you don't miss any out?

A lamp and a bulb together cost 32 pounds. The lamp costs 30 pounds more than the bulb. How much does the bulb cost?

How many ways can you write an expression for 100 which only uses the same digit repeated and any operations?

There are some rabbits and chickens in a field. Calculate how many of each given the number of heads and feet.

Record the weights of the trains to work out the weight of a locomotive and a coach. A real situation which produces simultaneous equations.

Go around the roundabout performing each of the operations. Which starting point gives the largest answer?

Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses?

The classic game of Nim played with a group of pens and pencils. The game can be extended to the multi-pile version.

An activity involving a calculator which is missing the six button. Can you evaluate the given expressions without using the six?

Arrange the numbers on the grid of squares so that the totals along each line of three squares are equal.

Arrange the numbers on the cards so that each of the three digit numbers formed horizontally are square numbers and each of the three digit numbers formed vertically are even.

Interactive number-based logic puzzle similar to those featuring in The Times and Telegraph newspapers.

Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for?

Advanced Problem Solving Starters

Questions on the areas and perimeters of rectangles which will test your problem solving abilities.

Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.

Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains.

An extensive collection of Arithmagons arranged in levels according to their features. Find the missing numbers in these online, self-checking exercises and discover the wonders of Arithmagons.

Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working.

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total.

A puzzle requiring the arrangement of numbers on the function machines to link the given input numbers to the correct output.

Some of the buttons are missing from this calculator. Can you make the totals from 1 to 20?

Can you get your car out of the very crowded car park by moving other cars forwards or backwards?

Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques.

Find the consective numbers that are added or multiplied to give the given totals

Two men and two boys want to cross a river and they only have one canoe which will only hold one man or two boys.

Arrange the digits one to nine on the spaces provided to make two division calculations containing multiples of three.

Arrange the dominoes in seven squares. The number of dots along each side of the square must be equal to the number in the middle

Arrange the digits to make three 3 digit numbers such that the second is double the first and the third is three times the first.

Arrange the numbered footballs on the goal posts to make three, 3-number products that are all the same.

Choose the amount of liquid from each bottle needed to make the watermelon grow as big as possible.

Arrange the twelve numbers on the hexagram so that the numbers in each line add up to the same total.

Investigate the number of rectangles on a grid of squares. What strategies will be useful in coming up with the answer?

A self marking step by step approach to calculating the number of triangles in a design.

A drag and drop activity challenging you to arrange the digits to produce the largest possible product.

Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same.

Solve multi-step problems in contexts, deciding which operations and methods to use and why.

Arrange the given digits to make three numbers such that the third is the product of the first and the second.

Arrange the given digits to make three numbers such that two of them add up to the third.

The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other.

Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.

Arrange the sixteen numbers on the octagram so that the numbers in each line add up to the same total.

Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time.

Toss the pancakes until they are neatly stacked in order of size. Find how to do this using the smallest number of moves.

Find the five numbers which when added or multiplied together in pairs to produce the given sums or products.

Arrange the sixteen numbers on the four by four grid so that groups of four numbers in a pattern add up to the same total.

If you were to pick up the sticks from this pile so that you were always removing the top stick what calculation would you create?

Drag the numbers into the red cells so that the sum of the three numbers in each row and each column is a prime number.

Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target?

The traditional River Crossing challenge. Can you do it in the smallest number of moves?

This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers.

Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

Make a schedule for the 24-hour Darts Marathon which will take into account everyone's requests and keep everyone happy.

Arrange a rota for the Scouts to travel in boats so that they are with different people each day.

Move the trams to their indicated parking places in the shunting yard as quickly as possible.

The six button has dropped off! How could these calculations be done using this calculator?

Arrange the numbers on the squares so that the totals along each line of three squares are equal.

Arrange the numbers on the cards so that each of the three digit numbers formed horizontally are square numbers and each of the three digit numbers formed vertically are even.

Drag stamps onto the envelopes to make the exact postage as shown at the top left of each envelope.

Use the pieces of the T puzzle to fit into the outlines provided. A drag, rotate and drop interactive challenge.

Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible.

A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.

This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles

Move the pieces of the tower from one place to another in the minimum number of moves.

An adventure game requiring students to solve puzzles as they move through the old mansion.

An adventure game requiring you to answer questions and solve puzzles as you move through the tunnels.

Arrange the twelve numbers in the triangles on the hexagram so that the numbers in each line of five triangles add up to the same total.

Arrange the digits 1 to 9 on the triangle so that the sum of the numbers along each side is equal to the given total.

Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.

A step by step guide showing how to solve a Word Sum where each letter stands for a different digit.

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