Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2025
- 1Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 10 seconds. Work out its deceleration.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 36°, side a is 15 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
- 5Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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