Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th September 2025
- 1Bounds3 marks
A rectangle is 15 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 13 cm and an area of 32.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
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