Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

16th April 2025

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 = 2, y = 24. Work out y when x = 5.

  2. 2
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = p and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and m.

  3. 3
    Probability Equation Questions3 marks

    The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?

  4. 4
    Histograms3 marks

    On a histogram the bar for 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?

  5. 5
    Bounds3 marks

    A rectangle is 29 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.

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.