Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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19th September 2021

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?

  2. 2
    Bounds3 marks

    x = 112 and y = 64, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Factorising Harder Quadratics3 marks

    Solve 10x^2 + 27x + 5 = 0.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 1 m/s to 8.5 m/s over 5 seconds. Work out the acceleration.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 5a + 2b and vector RS = 15a + 6b. What does this show about PQ and RS?

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