Daily Practice

Higher Plus

23rd February 1990

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

1
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 8 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 15 cm and an area of 37.12 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. 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 February 1990, including the monthly compilation PDF.