Daily Practice

Higher Plus

11th January 1984

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

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 12 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x + 4.

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 1984, including the monthly compilation PDF.