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Higher Plus

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1st July 1963

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

  1. 1
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 25 wins. How many games did they play?

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?

  3. 3
    Bounds3 marks

    A block has mass 450 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Proof3 marks

    Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 9.

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