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: 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 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. 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 Age 10-11 Complete this multiplication table Multiplication table 1 Multiplication table 2 more difficult Age 9-11 Complete the magic squares 3 x 3 magic square 4 x 4 magic square Age 9-11 Circle three numbers that add up to make.... Age 9-11 Use five cards to make this sum correct Age 10-11 Solve simple equations Age 10-11 Complete this table of values Age 9-11 Missing digits Missing numbers, using a calculator 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 Age 8-9 Find the missing digits (horizontal sums) Find the missing digits (vertical sums)