Daily Practice

Higher Plus

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10th August 1967

5 questions · 15 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 0.4, one 20 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).

  3. 3
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 12, 27, 50, 81, ...

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 32.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 13 cm by 14 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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