Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

26th August 2014

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?

  3. 3
    Surds3 marks

    Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 8, 21, 44, 77. Work out the second difference, and the coefficient of n^2.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Recent Higher Plus sheets

Every sheet is deterministic: the same date always regenerates the same five questions. All of August 2014, including the monthly compilation PDF.