Daily Practice

Higher Plus

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1st July 1970

5 questions · 15 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 0.4, one 20 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    A rectangle is 12 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Quadratic Inequalities3 marks

    Solve x^2 + 2x - 8 > 0.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 512.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 12 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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