Daily Practice

Higher Plus

3rd August 1987

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
2
Velocity Time Graphs3 marks
A tram runs at 11 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?

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 August 1987, including the monthly compilation PDF.