Daily Practice

Higher Plus

10th August 1958

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

1
Bounds3 marks
x = 30 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 8 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 9 cm and an area of 28.64 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.

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 1958, including the monthly compilation PDF.