Challenge Level

A snail slithers around on a coordinate grid. At what position does he finish?

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Can you draw the graph of $y=x$ after it has been rotated $90$ degrees clockwise about $(1,1)$?

Challenge Level

Lisa's bucket weighs 21 kg when full of water. After she pours out half the water it weighs 12 kg. What is the weight of the empty bucket?

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Which of these graphs could be the graph showing the circumference of a circle in terms of its diameter ?

Challenge Level

How could you use this graph to work out the weight of a single sheet of paper?

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Find the area of the triangle enclosed by these lines.

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How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?

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Can you find the area between this graph and the x-axis, between x=3 and x=7?

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Find the point on the line segment AB that is twice as far from B as it is from A.

Challenge Level

What is the area of the triangle formed by these three lines?

Challenge Level

Can you find the gradients of the lines that form a triangle?

Challenge Level

Use the information about the triangles on this graph to find the coordinates of the point where they touch.

Challenge Level

A triangle of area 64 square units is drawn inside the parabola $y=k^2-x^2$. Find the value of $k$.

Challenge Level

The curve $y=x^2âˆ’6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?