Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

4th June 2024

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.

  2. 2
    Histograms3 marks

    On a histogram the bar for 60 < x <= 65 has a frequency density of 1.5. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 12, 29, 56, 93. Work out the second difference, and the coefficient of n^2.

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 12 m/s to rest in 5 seconds. Work out its deceleration.

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 June 2024, including the monthly compilation PDF.