Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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5th June 2022

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

  1. 1
    Bounds3 marks

    x = 151 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 12x + 14.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 6 cm and 6 cm and an area of 15.59 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) = 1/6. Work out r.

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