Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2025
- 1Bounds3 marks
x = 102 and y = 66, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Write x^2 - 16x - 6 in the form (x + a)^2 + b.
- 3Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 10 seconds. Work out its deceleration.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 50°, side a is 15 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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