Daily Practice

Higher Plus

14th September 1989

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, -3, 1, 7. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 51°, side a is 14 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 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 September 1989, including the monthly compilation PDF.