Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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1st May 2000

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    A block has mass 720 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  2. 2
    Quadratic Inequalities3 marks

    Solve x^2 + 3x - 10 < 0.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 6 cm and 13 cm and an area of 19.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.

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