Daily Practice

Higher Plus

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7th March 1983

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?

  2. 2
    Bounds3 marks

    A block has mass 340 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  3. 3
    Factorising Harder Quadratics3 marks

    Solve 4x^2 + 7x - 2 = 0.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 320.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.

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