Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

26th July 2022

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

  1. 1
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 5a + 3b and vector RS = 10a + 6b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?

  3. 3
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).

  5. 5
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 6x - 2.

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 July 2022, including the monthly compilation PDF.