Daily Practice

Higher Plus

← All tiers

26th January 1985

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

  1. 1
    Bounds3 marks

    A car covers 580 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Algebraic Fractions3 marks

    Write 4/(x + 2) + 5/(x - 3) as a single fraction.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 81.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = c and vector OB = b. X is the midpoint. Write vector OX in terms of c and b.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 3/10. A player expects 18 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 January 1985, including the monthly compilation PDF.