Daily Practice

Higher Plus

10th October 1984

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

1
Bounds3 marks
A rectangle is 29 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 5 = y(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.
4
The Sine Rule3 marks
In triangle ABC, angle A is 54°, side a is 17 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 11 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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 1984, including the monthly compilation PDF.