Daily Practice

Higher Plus

13th May 1969

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 0, 11, 28, 51. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.

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 1969, including the monthly compilation PDF.