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Go to Home Page Home > iMath Worksheets > Reasoning and generalising about numbers or shapes
Click on the 'change' button and watch the numbers change. Click on the 'print' button to print a pupil worksheet and an answer sheet. The worksheets can be printed providing the password is entered.
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Solving problems
An example of a wall puzzle
An example of a wall puzzle: five numbers are on the wall. Write the five numbers below the wall on the right bricks in the wall.

Age 9-11
Wall puzzles

The number on a brick is either the sum, difference or product of the two numbers below.
There are 6 levels of difficulty going from showing 5 numbers on the wall (the easiest) to showing none of the numbers on the wall.
Use the slider to determine how many numbers are on the wall then click on the 'change' button. You will only see the effect when the worksheet is printed

There are three types of worksheet:

The numbers on the bricks are the sum of the two numbers below
The numbers on the bricks are the difference between the two numbers below
The numbers on the bricks are the product, sum or difference between the two numbers below

An example of a shape puzzle
Example of Shape Puzzle 1

Age 10-11
Shape Puzzles

Work out the value of each shape. The total for each row and column is shown.

Shape Puzzle 1: Three of the same shape can appear in a row (see the example on the left, three squares are in the top row.

Shape Puzzle 2: Three of the same shape will not appear in a row.

Shape Puzzle 3: The solutions can be negative numbers.

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An example of a sum puzzle

Age 9-10
Write a number in each circle so that the number in each square equals the sum of the two numbers on either side of it. There are many possible solutions for the square arithmagon. The answer sheet will give one set of solutions.

Sum puzzle

An example of a multiplication table

Age 10-11

Complete this multiplication table

Multiplication table 1
Multiplication table 2
more difficult

Example of magic square

Age 9-11

Complete the magic squares

3 x 3 magic square
4 x 4 magic square

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Link to the worksheet
Age 9-11
Circle three numbers
that add up to make....
Link to the worksheet

Age 9-11

Use five cards to make this sum correct

Link to worksheet

Age 10-11

Solve simple equations

An example of a table of values

Age 10-11

Complete this table of values

An example of missing digits

Age 9-11

Missing digits

Missing numbers, using a calculator

An example of shape equations
An example of letter equations

Age 10-11

Solve simple equations

Work out what number each shape represents (positive numbers)
Work out what number each shape represents (positive and negative numbers)
Work out the value of each letter (positive numbers)

 


Find the missing digits

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An example of missing digits

An example of missing digits

Age 8-9

Find the missing digits (horizontal sums)

Find the missing digits (vertical sums)

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