Daily Practice

Higher Plus

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20th March 1991

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

  1. 1
    Bounds3 marks

    A rectangle is 12 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Algebraic Fractions3 marks

    Write 6/(x + 5) + 2/(x + 2) as a single fraction.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 7 cm and 13 cm and an area of 32.17 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

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