Daily Practice

Higher Plus

2nd December 1966

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 3/(x - 4) + 5/(x - 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. M is the midpoint. Write vector OM in terms of m and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 15 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 December 1966, including the monthly compilation PDF.