Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

26th July 2026

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 178 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 9, 25, 49. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 20 cm, 11 cm and 14 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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