Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

23rd May 2021

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

  1. 1
    Bounds3 marks

    x = 146 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Factorising Harder Quadratics3 marks

    Solve 15x^2 - 28x + 5 = 0.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 4 cm, 13 cm and 15 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. 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 May 2021, including the monthly compilation PDF.