Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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20th April 2002

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?

  2. 2
    Bounds3 marks

    A car covers 170 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 162.

  5. 5
    Perpendicular Lines and the equation of a tangent3 marks

    The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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