Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th May 2017

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 0.4, one 20 units wide with density 1.4. How many values in total?

  2. 2
    Bounds3 marks

    x = 73 and y = 6, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Proof3 marks

    Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 144. Work out the positive value of x when y = 81.

  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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