Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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24th October 2019

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 2, one 5 units wide with density 3. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).

  3. 3
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 3. Work out x(1) to 3 decimal places.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 6 m/s to 36 m/s over 10 seconds. Work out the acceleration.

  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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