Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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28th November 2010

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 5 units wide with density 0.8. How many values in total?

  2. 2
    Bounds3 marks

    x = 166 and y = 131, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Transforming Graphs y=f(x)3 marks

    The point (0, -5) lies on y = f(x). Write down its image on y = f(-x).

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 72.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 7 cm by 11 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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