Home>Worksheets>Age 11-14 Applying mathematics and solving problems
 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. Buy a password Choose the topic: Primary A: Place value, ordering and rounding B: Properties of numbers & number sequences C: Fractions, decimals & percentages, ratio & proportion D: Mental calculation strategies (+ and -) E: Pencil & paper procedures (+ and -) F: Understanding multiplication & division G: Rapid recall of multiplication & division facts H: Mental calculation strategies (x and divide) I: Pencil & paper procedures (x and divide) J: Using a calculator K: Checking results of calculations L: Solving problems: making decisions M: Reasoning about numbers or shapes N: Problems involving 'real life', money or measures O: Handling data P: Measures Q: Shape and space Secondary A: Applying mathematics and solving problems B: Place value, ordering and rounding C: Integers, powers and roots D: Fractions, decimals, percentages, ratio and proportion E: Number operations and the relationships between them F: Mental methods and rapid recall of number facts G: Calculations: written methods H: Calculations: calculator methods I: Calculations: checking results J: Equations, formulae and identities K: Sequences, functions and graphs L: Geometrical reasoning: lines, angles and shapes M: Transformations N: Coordinates O: Construction & loci P: Measures and mensuration Q: Statistics R: Probability A: 1 2 4 5 7 8 9 12 13 14 15 16 17 18 19 20
 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.

Years 7 and 8 (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:

Year 8 (age 12-13)

Word problems involving consecutive integers, prime and square numbers. Missing digit problems.

Year 7 (age 11-12)
Number cell puzzles: the empty cells are filled by adding the two preceding numbers.

A4: Number cell puzzles 1 (positive numbers only)
A5: Number cell puzzles 2 (positive and negative numbers)

 Problems involving algebra

Example of Shape Puzzle 1

Years 7-9
Shape Puzzles
Work out the value of each shape. The total for each row and column is shown.

A7: 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.

A8: Shape Puzzle 2
Three of the same shape will not appear in a row.

A9: Shape Puzzle 3
The solutions can be negative numbers.

Year 7 (age 11-12)
I think of a number, add 3.7, then multiply by 5. The answer is 22.5. What is the number?

A12: Using whole numbers
A13:
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

Pyramid equations
Years 8-9 (age 12-14)
In each pyramid each number is the sum of the two numbers immediately below. Find the value of n

A15: Pyramid 1 positive whole number solutions

A16: Pyramid 2 positive and negative whole number solutions

A17: Pyramid 3
positive whole number solutions.

A18: Pyramid 4
positive and negative whole number solutions

A19: Pyramid 5 positive whole number solutions

A20: Pyramid 6 positive and negative whole number solution

Active Maths Limited
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