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The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms.
What is the sum of the first 30 terms?
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
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The rectangles shown are the same area. Find the area.
Make up some similar questions of your own.
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Click here for the SAME AREA poster.
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
Practical activities like shaking hands, taking 2 books from a shelf and drawing the mystic rose pattern lead to understanding how to find the sum of a series and how and why different methods lead to the same result. These activities give learners the opportunity to develop logical thinking, and problem solving […]
On Monday Dolly, Kapa and Lolo cut a pizza into equal sized pieces and share the pizza in the ratio 4 : 3 : 5. This means that there were 12 pieces and Dolly ate one third, Kapa ate one quarter and Lolo ate five twelfths of the pizza.
On Tuesday they […]
The paper folding activities in this workshop guide provide experiences of discovering the properties of circles stated in seven basic theorems. Folding cut-out paper circles does not prove the theorems but it suggests recipes for the formal proofs. Teachers should do all the activities before using them in lessons even if they […]
Explain your findings about the four lines in this diagram and their gradients.
Match each sketch graph from column A below with a description and a fact about gradients from the other two columns.
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The input to Function Machine 1 is x. Write down an expression for the output.
If the output is 7 what was the input?
In Function 2, a is constant. If the input is 4 what is the output?
The functions from Function Machines 1 & 2 are combined to give Function […]
The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).
LN is a diameter of the circle.
LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.
What equations […]
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