Daily Practice

Higher Plus

1st May 1979

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

1
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 7 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 7 = y(x + 7).

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 May 1979, including the monthly compilation PDF.