Daily Practice

Higher Plus

10th May 1987

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

1
Bounds3 marks
x = 92 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 12 cm and an area of 77.94 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) = 15/28. 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 May 1987, including the monthly compilation PDF.