Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

2nd April 2025

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

  1. 1
    Bounds3 marks

    A rectangle is 19 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write an odd number in terms of an integer n?

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 4 cm, 8 cm and 10 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 2 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 2025, including the monthly compilation PDF.