Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

23rd April 2021

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.

  2. 2
    Completing the Square3 marks

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

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 10 cm, 6 cm and 13 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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 April 2021, including the monthly compilation PDF.