Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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11th December 2025

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

  1. 1
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

  2. 2
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 1 m/s to 7 m/s over 4 seconds. Work out the acceleration.

  3. 3
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

  4. 4
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.

  5. 5
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?

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