Daily Practice

Higher Plus

← All tiers

30th January 1970

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

  1. 1
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 3a + 4b and vector RS = 15a + 20b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?

  4. 4
    Surds3 marks

    Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.

  5. 5
    Algebraic Fractions3 marks

    Simplify (x^2 - 9x + 18)/(x - 3).

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 January 1970, including the monthly compilation PDF.