Daily Practice

Higher Plus

← All tiers

28th April 1972

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.

  2. 2
    Transforming Graphs y=f(x)3 marks

    The point (-3, -6) lies on y = f(x). Write down its image on y = f(-x).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 64.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 7 cm and 9 cm and an area of 27.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.

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 April 1972, including the monthly compilation PDF.