Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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18th April 2014

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.

  2. 2
    Quadratic Inequalities3 marks

    Solve x^2 + 10x + 24 < 0.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 7 cm and 16 cm and an area of 39.60 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.

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