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30th November 1960

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 8 cm by 10 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

  2. 2
    Conditional Probability3 marks

    A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?

  4. 4
    Bounds3 marks

    A rectangle is 30 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.

  5. 5
    Algebraic Fractions3 marks

    Write 2/(x + 2) + 4/(x + 5) as a single fraction.

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