Daily Practice

Higher Plus

23rd February 1966

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

1
Bounds3 marks
A rectangle is 11 cm by 15 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 (2x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 15 cm with an angle of 45° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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 February 1966, including the monthly compilation PDF.