Daily Practice

Higher Plus

23rd July 1987

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 = 5, y = 32. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides of 8 cm and 5 cm with an angle of 29° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
5
Surds3 marks
Simplify sqrt(32) + sqrt(98), 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 July 1987, including the monthly compilation PDF.