Daily Practice

Higher Plus

6th October 1983

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
2
The Sine Rule3 marks
In triangle ABC, angle A is 38°, side a is 12 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
3
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?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).

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 October 1983, including the monthly compilation PDF.