Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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28th August 2024

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A rectangle is 22 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 14, 29, 52, 83. Work out the second difference, and the coefficient of n^2.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 3 m/s to 21 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

  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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