Daily Practice

Higher Plus

15th January 1991

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of q and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 42 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - 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 January 1991, including the monthly compilation PDF.