Daily Practice

Higher Plus

10th February 1981

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

1
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
2
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 5)/(x + 1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 12 cm and an area of 63.64 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 6/55. 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 1981, including the monthly compilation PDF.