Daily Practice

Higher Plus

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23rd February 1978

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 7 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.

  3. 3
    Histograms2 marks

    On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(8) + sqrt(98), giving your answer in the form a sqrt(b).

  5. 5
    Completing the Square3 marks

    Write x^2 + 8x - 11 in the form (x + a)^2 + b.

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