Daily Practice

Higher Plus

← All tiers

4th February 1953

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 14 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?

  4. 4
    Bounds3 marks

    A rectangle is 15 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.

  5. 5
    Algebraic Fractions3 marks

    Write 6/(x + 2) + 5/(x + 5) as a single fraction.

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

Any date always gives the same five questions, so a sheet can be set again or shared. All of February 1953, including the monthly compilation PDF.