Daily Practice

Higher Plus

18th April 1990

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

1
Bounds3 marks
A rectangle is 8 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Write x^2 - 6x - 8 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 6 cm and 8 cm with an angle of 127° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 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 April 1990, including the monthly compilation PDF.