Daily Practice

Higher Plus

← All tiers

1st February 1984

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

  1. 1
    Bounds3 marks

    A rectangle is 6 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 6x - 5 and g(x) = 3x - 4. Work out fg(3).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 36.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = c and vector OB = b. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of c and b.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 7/8. A player expects 105 wins. How many games did they play?

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 February 1984, including the monthly compilation PDF.