Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 2022
- 1Bounds3 marks
A rectangle is 26 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 16.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 14 cm and an area of 28.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. 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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of April 2022, including the monthly compilation PDF.