Daily Practice

Higher Plus

← All tiers

18th December 1987

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.

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

    The point (4, -3) lies on y = f(x). Write down its image on y = f(x) + 1.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 25.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 16 cm, 16 cm and 13 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.

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 December 1987, including the monthly compilation PDF.