Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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18th May 2024

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?

  2. 2
    Bounds3 marks

    A car covers 870 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts -1, 3, 11, 23. Work out the second difference, and the coefficient of n^2.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 144.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 13 cm by 5 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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