iMath Worksheets: Applying mathematics and solving problems

Problems involving numbers
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 11-13 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
	Age 12-13 Word problems involving consecutive integers, prime and square numbers. Missing digit problems. Word and missing digit problems
	Age 11-12 Number cell puzzles: the empty cells are filled by adding the two preceding numbers. Number cell puzzles 1 (positive numbers only) Number cell puzzles 2 (positive and negative numbers)

Problems involving algebra

Example of Shape Puzzle 1

Age 11-13
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 11-12
I think of a number, add 3.7, then multiply by 5. The answer is 22.5. What is the number?

Using whole numbers
Using numbers to one decimal place

A function machine changes the number n to the number 3n + 1.
What does it do to these numbers? 2, 5, 9, 21, 0
What numbers must be input to get these numbers? 10, 37, 100

Function machine

Example of pyramid equations

Pyramid equations
Age 12-14
In each pyramid each number is the sum of the two numbers immediately below. Find the value of n

Pyramid 1 positive whole number solutions

Pyramid 2 positive and negative whole number solutions

Pyramid 3
positive whole number solutions.

Pyramid 4
positive and negative whole number solutions

Pyramid 5 positive whole number solutions

Pyramid 6 positive and negative whole number solution