Daily Practice

Higher Plus

31st August 1978

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 6x^2 - 5x + 1 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 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 August 1978, including the monthly compilation PDF.