Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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20th April 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    x = 180 and y = 109, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Factorising Harder Quadratics3 marks

    Solve 2x^2 + 9x - 5 = 0.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 10 cm and 8 cm and an area of 40.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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