Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th April 1995

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

1
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 2x - 6 and g(x) = 2x + 6. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 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 April 1995, including the monthly compilation PDF.