Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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18th January 2015

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 2.5, one 25 units wide with density 0.8. How many values in total?

  2. 2
    Bounds3 marks

    x = 73 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 200.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

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