Daily Practice

Higher Plus

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4th May 1988

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

  1. 1
    Bounds3 marks

    A rectangle is 16 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Completing the Square3 marks

    Write x^2 - 8x - 3 in the form (x + a)^2 + b.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 10 cm and 6 cm and an area of 30.00 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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