Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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13th March 1998

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.

  2. 2
    Algebraic Fractions3 marks

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

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 13 cm and 13 cm and an area of 42.25 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) = 3/10. Work out r.

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