Daily Practice

Higher Plus

2nd March 1967

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 3 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 March 1967, including the monthly compilation PDF.