Daily Practice

Higher Plus

19th January 1973

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 x^3. When x = 3, y = 108. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 8 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.

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 1973, including the monthly compilation PDF.