Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st February 2020

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.

  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
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 8 m/s to 18 m/s over 4 seconds. Work out the acceleration.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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