Daily Practice

Higher Plus

3rd June 1988

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

1
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 7/(x - 1) + 6/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 15 cm and an area of 105.00 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) = 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 June 1988, including the monthly compilation PDF.