Daily Practice

Higher Plus

24th December 1988

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

1
Bounds3 marks
A car covers 770 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
Algebraic Fractions3 marks
Write 5/(x - 2) + 6/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 11 cm with an angle of 60° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 5 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 December 1988, including the monthly compilation PDF.