Daily Practice

Higher Plus

16th January 1987

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

1
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 10x^2 - 27x + 18 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 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.

Any date always gives the same five questions, so a sheet can be set again or shared. All of January 1987, including the monthly compilation PDF.