Daily Practice

Higher Plus

16th January 1955

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

1
Bounds3 marks
x = 41 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 7 and g(x) = 2x - 1. Work out fg(5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 9.
4
The Sine Rule3 marks
In triangle ABC, angle A is 69°, side a is 15 cm and side b is 9 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 January 1955, including the monthly compilation PDF.