Daily Practice

Higher

27th August 1985

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 39°, angle B is 96° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 7 in B only, 3 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
60 newts are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x - 54.

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 August 1985, including the monthly compilation PDF.