Daily Practice

Higher Plus

21st September 1967

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(27) + sqrt(75), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Write x^2 + 8x - 6 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 11 m/s for 20 s, then slows steadily to rest over 6 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 (5, 12) lies on the circle x^2 + y^2 = 169. 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 September 1967, including the monthly compilation PDF.