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Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle.
Try It!Match the equations of the straight line graphs to the clues about gradients and points.
Try It!A simplified, mathematical version of the challenge seen in the British TV programme Only Connect. Find the connections between the terms.
Try It!Collect together in groups the equations of the graphs that are parallel to each other.
Try It!Find the formula that describes the part of the sequence that can be seen
Try It!Plot scatter graphs from data representing a number of different everyday situations.
Try It!Arrange the given numbers as bases and indices in the three-term sum to make the target total.
Try It!Deduce expressions to calculate the nth term of quadratic and cubic sequences.
Try It!Complete the table showing the terms of the sequences and the formulas for the nth terms.
Try It!Find square roots and cube roots by first calculating the prime factorisation of a number.
Try It!Deeply test your understanding of standard form (scientific notation) by involving a little algebra.
Try It!A self-marking exercise on calculating, simplifying and manipulating surds (also known as radicals).
Try It!Gambling is never a good idea and this activity might help you understand the mathematics involved.
Try It!Solve the number puzzles drawn on the pavement of Trafalgar Square in London.
Try It!Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.
Try It!A game to determine the mathematical item by asking questions that can only be answered yes or no.
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