Daily Practice

Higher Plus

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11th June 1967

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 5 units wide with density 0.6. How many values in total?

  2. 2
    Bounds3 marks

    x = 176 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Completing the Square3 marks

    Write x^2 - 4x - 10 in the form (x + a)^2 + b.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 7 m/s to 27 m/s over 8 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 11 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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