Daily Practice

Higher Plus

12th January 1990

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

1
Surds3 marks
Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 1.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 20 cm and side b is 17 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 5 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 1990, including the monthly compilation PDF.