Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th January 1997

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 (10, 24) lies on the circle x^2 + y^2 = 676. 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 3 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 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
x = 133 and y = 32, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 5x - 4. Work out fg(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 January 1997, including the monthly compilation PDF.