Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

← All tiers

31st October 2022

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

  1. 1
    Conditional Probability3 marks

    A bag holds 9 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?

  3. 3
    Bounds3 marks

    A block has mass 820 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Proof2 marks

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

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 49.

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 October 2022, including the monthly compilation PDF.