Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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4th November 2021

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 4 cm by 10 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. 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 1.5. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(18) + sqrt(8), giving your answer in the form a sqrt(b).

  5. 5
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.

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