Daily Practice

Higher Plus

29th May 1973

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

1
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the midpoint. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 60 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 May 1973, including the monthly compilation PDF.