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Higher Plus

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10th September 1977

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?

  2. 2
    Bounds3 marks

    A car covers 560 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Proof3 marks

    Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 2 m/s to 22 m/s over 8 seconds. Work out the acceleration.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 6a + 3b and vector RS = 12a + 6b. What does this show about PQ and RS?

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