Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

10th February 2025

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 + 6b and vector RS = 15a + 18b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?

  4. 4
    Bounds3 marks

    A block has mass 840 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  5. 5
    Proof2 marks

    In an algebraic proof, how would you write three consecutive even numbers in terms of an integer 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 February 2025, including the monthly compilation PDF.