Daily Practice

Higher Plus

27th October 1990

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

1
Bounds3 marks
A car covers 200 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 20, 31, 44. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and b.
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 October 1990, including the monthly compilation PDF.