Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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3rd July 2020

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 22 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 72°, side a is 15 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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