Daily Practice

Higher Plus

15th March 1953

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

1
Bounds3 marks
x = 61 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 81 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 1953, including the monthly compilation PDF.