Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st May 2023

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 = 2, y = 48. Work out y when x = 4.

  2. 2
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 8 cm and 11 cm and an area of 38.11 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

  4. 4
    Histograms3 marks

    On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?

  5. 5
    Bounds3 marks

    x = 191 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.

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