Posts by: toni
Draw chords to cut a regular hexagon
(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If […]
The Towns A, B, C, D, E, F, G, H all lie on the same straight road.
The table shows the distances between pairs of towns.
For example, D is 19 km from G.
Fill in the distances between all the other towns in the table.
Click here to download the […]
Ask a friend to hide a 5c coin in one hand and a 10c coin in the other without showing you which coin is in which hand. Then say to your friend:
“Multiply the amount of money in your left hand by 2 or 4 (whichever you like) and the amount of money in […]
Two flagpoles are 30 metres apart. One has height 10 m and the other has height 15 m. Two tight ropes connect the top of each pole to the foot of the other.
How high do the two ropes intersect above the ground?
How many different methods can you find to solve this problem?
What […]
Choose your number to start and shade it on the grid.
To go to another number you can either MULTIPLY BY 2 or SUBTRACT 5.
So if you start on 12, you can either shade 12 x 2 = 24 or 12 – 5 = 7
Choose any shaded number and carry on until […]
Click on Printable Resources and download grids and charts including square and isometric grids, numbers squares, fraction walls and many other resources.
Click here to download the COUNTING TRIANGLES worksheet.
Click here for the Notes for Teachers.
Click here to download the COUNTING TRIANGLES poster
Seven squares are drawn inside each other. The centre points of each side of the outer square are joined to make a smaller square inside it and so on.
The centre square has the area of 1 (one) square unit.
Draw the diagram. You can download square dotty paper here.
What is […]
In how many ways can you fit all three pieces together, edge to edge, to make shapes with line symmetry?
The first of these examples shows a symmetrical arrangement, the second is not allowed because the pieces are not placed edge to edge and the third is not symmetrical.
This is a unit circle with a tangent at A.
The angle marked in the diagram is angle a.
Copy the diagram and find all the angles in terms of the angle a.
Find the six line segments in the diagram corresponding to sina, cosa, tana, 1/sina, 1/cosa and 1/tana.
Find the areas of […]
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