Daily Practice

Higher Plus

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19th February 1986

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?

  2. 2
    Bounds3 marks

    A rectangle is 24 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Quadratic Inequalities3 marks

    Solve x^2 + 2x - 8 < 0.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 80.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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