Daily Practice

Higher Plus

14th August 1963

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

1
Bounds3 marks
A rectangle is 4 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 15 cm and an area of 90.93 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. 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 August 1963, including the monthly compilation PDF.