Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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6th April 2024

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A car covers 240 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 6 m/s to 20 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 4a - 6b and vector RS = 8a - 12b. What does this show about PQ and RS?

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