Daily Practice

Higher Plus

22nd May 1988

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

1
Bounds3 marks
x = 118 and y = 84, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 51°, side a is 10 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red and 6 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 May 1988, including the monthly compilation PDF.