Daily Practice

Higher Plus

21st November 1968

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 15x^2 + 14x + 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 77 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 November 1968, including the monthly compilation PDF.