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31st October 1966

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

    On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Bounds3 marks

    A block has mass 340 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Transforming Graphs y=f(x)3 marks

    The point (-1, 6) lies on y = f(x). Write down its image on y = f(x + 6).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.

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