Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st December 2024

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

  1. 1
    Bounds3 marks

    A car covers 720 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 8 in terms of an integer n?

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 17 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 9 cm and 13 cm and an area of 41.37 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

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