Daily Practice

Higher Plus

18th April 1958

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

1
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 8x - 1. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 11 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 1958, including the monthly compilation PDF.