Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

26th July 2024

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 19 cm, 13 cm and 9 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.

  4. 4
    Histograms3 marks

    On a histogram the bar for 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?

  5. 5
    Surds3 marks

    Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.

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 2024, including the monthly compilation PDF.