Daily Practice

Higher Plus

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11th April 1974

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

  2. 2
    Surds3 marks

    Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).

  3. 3
    Quadratic Simultaneous Equations3 marks

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

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 1 m/s to 61 m/s over 20 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 7 cm by 14 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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