Daily Practice

Higher Plus

28th December 1982

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 64.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of q and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 7 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).

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 December 1982, including the monthly compilation PDF.