Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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26th March 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    A rectangle is 8 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Quadratic Inequalities3 marks

    Solve x^2 - 7x < 0.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 8.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.

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