Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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9th December 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 23 cm, 11 cm and 14 cm. Work out the angle opposite the 23 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.

  4. 4
    Histograms3 marks

    On a histogram the bar for 30 < x <= 50 has a frequency density of 2.4. How many values are in that class?

  5. 5
    Surds3 marks

    Simplify sqrt(50) + sqrt(18), giving your answer in the form a sqrt(b).

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