Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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16th July 2018

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 sqrt(x). When x = 49, y = 42. Work out y when x = 36.

  2. 2
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 13 cm and 8 cm and an area of 26.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.

  4. 4
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?

  5. 5
    Bounds3 marks

    A block has mass 780 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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