Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th December 2025
- 1Bounds3 marks
x = 77 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.
- 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 directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 18 cm, 12 cm and 8 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
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