Daily Practice

Higher Plus

10th March 1954

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

1
Bounds3 marks
A rectangle is 18 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 25 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 1954, including the monthly compilation PDF.