add, subtract, multiply and divide positive and negative numbers
An example of a wall puzzle
Wall puzzles with positive and negative
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.
these buttons to decide how the numbers are worked out.
The choices are: the sum, the difference or a mixture (product, sum,
the level with the slider. Click on 'go'.
on the 'change' button to quickly generate a new wall puzzle.
Compare positive and negative temperatures on
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.
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.
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.
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.
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
Difference and Product
A problem-solving activity
small numbers are generated, their sum, difference and product are
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.
odd or even labels: is it possible to say whether a sum, product or
difference will be odd or even?
this multiplication table. Positive and negative numbers are used.
Multiplication table 1
C7: Multiplication table 2
Missing numbers: Answer questions
such as -12 +
the magic squares
3 x 3 magic square
C10: 4 x 4 magic square
cell puzzles: the empty cells are filled by adding the two preceding
numbers. Click in a cell to reveal or hide the number.
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
multiples and factors
Find the lowest common
multiple of two numbers, eg 16 and 24
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
numbers multiples, factors, prime and square numbers.
on this button to hide the menu or control panel.
on this button to show the menu.
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....
on this button to hide or show the control panel.
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.
and start the fish
with this button
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.
and use the general forms of the index laws for multiplication and
division of integer powers.
Find the value of n
levels of difficulty (see the examples on the left)
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