Daily Practice

Higher Plus

24th July 1983

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 136 and y = 32, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 17, 43, 79. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 15 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 6 red, 4 blue and 2 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 July 1983, including the monthly compilation PDF.