Daily Practice

Higher Plus

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26th July 1970

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

  1. 1
    Bounds3 marks

    x = 144 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Factorising Harder Quadratics3 marks

    Solve 12x^2 + 31x + 20 = 0.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 15 m/s to rest in 5 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 39°, side a is 14 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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