Daily Practice

Higher Plus

14th October 1981

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

1
Bounds3 marks
A rectangle is 27 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 4 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 1981, including the monthly compilation PDF.