Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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11th March 2026

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

  1. 1
    Proof3 marks

    Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.

  2. 2
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 6 m/s to 24 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

  3. 3
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

  4. 4
    Probability Equation Questions3 marks

    A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.

  5. 5
    Histograms2 marks

    On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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