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Higher Plus

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19th April 1968

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.

  2. 2
    Rearranging Harder Formulae3 marks

    Make x the subject of 6x + 8 = y(x + 8).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 6 cm and 12 cm and an area of 31.18 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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