Daily Practice

Higher Plus

22nd January 1985

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides 24 cm, 16 cm and 13 cm. Work out the angle opposite the 24 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).

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 1985, including the monthly compilation PDF.