Daily Practice

Higher Plus

← All tiers

28th October 1971

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 13 cm by 7 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?

  4. 4
    Surds3 marks

    Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).

  5. 5
    Factorising Harder Quadratics3 marks

    Solve 15x^2 + 7x - 30 = 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 October 1971, including the monthly compilation PDF.