Active Worksheets: integers, powers and roots

Home>Worksheets>Age 11-16 Number: Integers, powers and roots

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:

C: 1 2 3 4 5 6 8 9 10 11 15 16 18 19 20

Order, add, subtract, multiply and divide positive and negative 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 8 and 9 (age 12-14)
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 two types of worksheet:

C1a: The numbers on the bricks are the sum of the two numbers below
C1b: The numbers on the bricks are the product, sum or difference of the two numbers below

Example of sum puzzle

Year 7 (age 11-12)

C2: Sum puzzle
Add and subtract positive and negative numbers. 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.

C18: Another sum puzzle
The three numbers in each line must add up to the same total. The total can be shown or hidden.
The number options are: 1. Small whole numbers 2. Multiples of ten 3. Decimals 4 Positive and negative numbers.
Use the other buttons to show a few puzzles or just one.

Year 8 (age 12-13)
Multiply positive and negative numbers. Write a number in each circle so that the number in each square equals the product of the two numbers on either side of it.

C3: Product puzzle 1

Years 7-8 (age 11-13)
Sum, Difference and Product

C5: A problem-solving activity
Two numbers (positive or negative) are generated, their sum, difference and product are worked out.
Work out what the two numbers are.

Year 8 (age 12-11)
Complete this multiplication table. Positive and negative numbers are used.

C6: Multiplication table 1

Year 7 (age 11-12)

C8: Missing numbers:

Type 1 Questions such as: -12 + -7 =

Type 2 Questions such as: -12 + = -19

Complete the magic squares

C9: 3 x 3 magic square
C10: 4 x 4 magic square

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

C11: Number cell puzzles

Recognise multiples

Year 7 (age 11-12)

C15: Find the lowest common multiple of two numbers, eg 16 and 24

C16: Find the highest common factor of two numbers, eg 36 and 27

Investigate problems such as:

Year 7 (age 11-12)
Write a number in each circle so that the number in each square equals the product of the two numbers on either side of it.

C4a: Product puzzle 1 numbers up to 12
C4b: Product puzzle 2 numbers up to 20

Use index notation

Years 9-11 (age 14-16)
Know and use the general forms of the index laws for multiplication and division of integer powers.

C19: Find the value of n two levels of difficulty (see the examples on the left)

C20: More difficult questions two levels of difficulty

Active Maths Limited
registration no: 04713591
e-mail: admin@active-maths.co.uk
29 St James Road, Ilkley, West Yorkshire, LS29 9PY
tel: +44 (0) 1943 431024