Working either in small groups or as a whole-class activity, you will be given two sets of small cards. On one set expressions, such as 68 ÷ 64, are given. In the other set single values, such as 64, are given. Work out the value of the cards using the laws of exponents or by […]
The diagram shows a tally chart and bar graph done by Adam and Mary for their class. Adam’s name had the most common initial letter and Mary’s the least common.
Make a list of the first names of all the learners in your class. What do you notice about […]
The graph shows the distance along a race track for two racing cars as they approach a bend in a race. Copy the table below, take readings from the graph and fill in the table for the first 10 seconds.
How far does each car go in the 3rd second? How far […]
If you know the sizes of the angles marked with coloured dots in the diagram which angles can you find by calculation? Explain your reasoning.
If you also know that AB and CD are parallel which angles can you find?
What extra information do you need to find all the numbered angles?
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Amy and her friends have built some functions and they are challenging each other to find the input when they know an output.
They think the inputs to their functions giving the output 10 are 5 for Amy’s function, 4 for Busi’s, for Chris’s and for Dudu’s. Do you agree? Why or […]
Amy and her friends have built some functions. If they all input the number 1 into their functions Amy’s output would be 6, Busi’s 1, Chris’s 6½ and Dudu’s 3½.
Build some of your own functions using the operations [subtract 2], [multiply by 3], [divide by 2] and [add […]
What is the area, (in square units) of the triangle formed by the three lines whose equations are: y − x = 6, x − 2y = 3 and x + y = 6?
Lick here to download the GRAPHICAL TRIANGLE worksheet
Click here for the Notes for Teachers.
This […]
The graph shows how the weight of a letter (including the envelope) varies with the number of sheets of paper used.
What is the weight of a single sheet of paper?
What is the weight of the envelope?
If w is the weight of the letter (including the envelope) and s is […]
We need to use negative numbers for sub zero temperatures and for distances between the highest peaks on earth and the deepest points in the oceans and deep mines.
Mauna Kea’s summit is 4205 metres above sea level but it extends below the sea surface to a depth of -6000 metres. This makes Mauna Kea […]
This collection of 6 games gives practice in addition, subtraction, multiplication and division of whole numbers and you can easily adapt them to include negative numbers and decimals. To win these games you will need to understand place value and how the calculations work and be able to estimate the results of calculations. These […]
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