Daily Practice

Higher Plus

27th January 1978

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 16 cm and an area of 60.00 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) = 1/28. 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 January 1978, including the monthly compilation PDF.