Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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20th September 2014

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 1.4. How many values in total?

  2. 2
    Bounds3 marks

    A car covers 620 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Algebraic Fractions3 marks

    Write 3/(x + 1) + 7/(x - 6) as a single fraction.

  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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