Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th March 2023

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

  1. 1
    Surds3 marks

    Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 33 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 22 cm, 11 cm and 14 cm. Work out the angle opposite the 22 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.

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