Daily Practice

Higher Plus

27th January 1962

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

1
Bounds3 marks
A car covers 890 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 64 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 1962, including the monthly compilation PDF.