Daily Practice

Higher Plus

14th February 1986

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

1
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 16 cm and an area of 62.23 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. 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 1986, including the monthly compilation PDF.