Daily Practice

Higher Plus

8th December 1954

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 (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 12 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, -6, -5, -2. Work out the second difference, and the coefficient of n^2.

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 December 1954, including the monthly compilation PDF.