Home>Whiteboard Worksheets>Number: integers, powers and roots
 Choose the topic: Please select ..... 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 C: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Order, add, subtract, multiply and divide positive and negative numbers

An example of a wall puzzle

C1: Wall puzzles with positive and negative numbers

The number on a brick is either the sum, difference or product of the two numbers below. Drag the numbers on to the wall. When the numbers are in the right place the polygon characters will spin round. There are 6 levels of difficulty: level 1, five numbers have to be placed on the wall, level 6, all ten numbers have to be dragged to the wall.

Use these buttons to decide how the numbers are worked out.
The choices are: the sum, the difference or a mixture (product, sum, difference).

Select the level with the slider. Click on 'go'.

Click on the 'change' button to quickly generate a new wall puzzle.

C17: Compare positive and negative temperatures on thermometers

Show up to three thermometers. Click on the 1, 2 or 3 buttons to generate one, two or three thermometers. The top thermometer will usually show the highest temperature. Clock on the blue rectangles to reveal the temperatures.

 Sum puzzle Another sum puzzle

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.

C21: Grid totals
The three numbers in each row and column must add up to the same total. The missing numbers are given. Click on the grid to hide or show numbers.

C3: Product puzzle 1 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.
C4: Product puzzle 2
numbers up to 20

Sum, Difference and Product

C5: A problem-solving activity
Two small numbers are generated, their sum, difference and product are worked out.
Hide the two numbers, can you work out what they are from their sum, product and difference?
Click on 'change' to generate two more numbers.
Hide the product, work out the two numbers from their sum and difference.

Hide the odd or even labels: is it possible to say whether a sum, product or difference will be odd or even?

Complete this multiplication table. Positive and negative numbers are used.

C6: Multiplication table 1
C7: Multiplication table 2
(more difficult)

C8: Missing numbers: Answer questions such as -12 + = -19

Complete the magic squares

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

Number cell puzzles: the empty cells are filled by adding the two preceding numbers. Click in a cell to reveal or hide the number.

C11: Number cell puzzles 1 (first two numbers revealed)
C12: Number cell puzzles 2
(last two numbers revealed)
C13: Number cell puzzles 3
(first and last or third and last numbers revealed)
C14: Number cell puzzles 4
(all numbers hidden, decide yourself which numbers to reveal)

Recognise multiples and factors

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

Multiples 1: multiples of 2, 5, 10 and 50
Multiples 2: multiples of 2, 3, 4 and 5
Multiples 3: multiples of 6, 7, 8 and 9
The plus buttons generate additional numbers

C22: Moving numbers multiples, factors, prime and square numbers.

 Click on this button to hide the menu or control panel. Click on this button to show the menu.

The numbers will swim about the screen, a bit like fish! Click on the side of fish tank to create a feeding frenzy.
Click on a fish to stop it moving and drag it about. Use the buttons shown below to control the fish....

 Click on this button to hide or show the control panel. The sliders on the control panel are used to determine the swimming speed, the feeding frenzy, how long the feeding frenzy lasts and the transparency of the fish. Stop and start the fish with this button The menu can be at the top or the bottom of the screen. Click at the top if you want it moving to the top. Click at the bottom to move it back to the bottom.

 Use index notation

Know and use the general forms of the index laws for multiplication and division of integer powers.

C19/20: Find the value of n Four levels of difficulty (see the examples on the left)

Active Maths Limited
registration no: 04713591