Daily Practice

Higher Plus

1st November 1960

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

1
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
4
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.

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 November 1960, including the monthly compilation PDF.