Daily Practice

Higher Plus

← All tiers

8th March 1987

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 8 cm by 12 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 1/2. Work out n.

  3. 3
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

  4. 4
    Bounds3 marks

    x = 152 and y = 70, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Factorising Harder Quadratics3 marks

    Solve 8x^2 - 14x - 15 = 0.

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 March 1987, including the monthly compilation PDF.