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This picture shows a rectangular prism made from 36 cubes. How many different rectangular prisms (cuboids) can you make from 36 cubes? Do they all have the same volume? Why or why not?
Look at the date today, for example suppose it is 11th of the month. How many different cuboids can you make […]
This data from the World Health Organisation portrays the growth in the number of confirmed cases of the coronavirus disease. In some countries the pattern appears to be exponential growth. Data is given for the most affected countries and for the two countries in Africa with more than 10 cases.
In one week, new data […]
1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the […]
Complete the calculations in the first list. Then use your answers to find the numbers to fill the boxes in the second list.
What do you notice about the connections between the equations: ☐ × 8 + 1 = 9 etc. and the calculations: (9 – 1) ÷ 8 […]
Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TV’s in houses within a certain radius. Because the Earth is spherical, these signals do not get picked up beyond the point of contact of the near horizontal tangent line as illustrated in the sketch.
What is the […]
1. Which one of the graphs represents the function $f(x) = \frac{1}{x}$?
The table below has been jumbled up. Match the graphs labelled f1 to f9 to their equations in the table below and to the descriptions of the transformations of $f(x) = \frac{1}{x}$
Download the worksheet, cut […]
ADHK is a square of side length 12 cm
AB = BC= CD = AE
BE is parallel to CF
EI is parallel to FJ
GE is parallel to AD
Can you find the side lengths of the different shapes?
Justify your answers.
The area of JGK is 20 cm².
Can […]
Three quarters of the area of the rectangle has been shaded.
What is the value of x?
Click here to download the USE AREA TO FIND x worksheet.
Click here for the Notes for Teachers.
Click here for the USE AREA TO FIND x poster.
Investigate quadrilaterals that have inscribed circles as shown in the diagram.
Draw a circle with any radius you choose, and then draw 4 tangents making a quadrilateral with the circle inside touching the quadrilateral at 4 points.
Measure the edge lengths of the quadrilateral ABCD.
What do you notice?
Copy the table […]
1. ENVELOPE PATTERNS WITH STRAIGHT LINES
These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.
Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]
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