Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th March 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 2The Cosine Rule3 marks
A triangle has sides 15 cm, 12 cm and 8 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
- 5Bounds3 marks
A rectangle is 7 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
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