Daily Practice

Higher Plus

← All tiers

23rd August 1974

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

  1. 1
    Algebraic Fractions3 marks

    Simplify (x^2 - 4x - 12)/(x - 6).

  2. 2
    Velocity Time Graphs3 marks

    A tram runs at 13 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.

  3. 3
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 11 cm by 15 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  4. 4
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.

  5. 5
    Histograms2 marks

    On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

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 August 1974, including the monthly compilation PDF.