Daily Practice

Higher Plus

18th May 1958

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

1
Bounds3 marks
x = 81 and y = 43, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 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 May 1958, including the monthly compilation PDF.