Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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4th October 2007

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

  1. 1
    Surds3 marks

    Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).

  2. 2
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (9x(n) + 9) with x(0) = 2. Work out x(1) to 3 decimal places.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 13 cm, 9 cm and 6 cm. Work out the angle opposite the 13 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 3/5. Work out n.

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