Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 540 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x + 1.
- 3Velocity Time Graphs2 marks
A train slows steadily from 32 m/s to rest in 8 seconds. Work out its deceleration.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 40°, side a is 18 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 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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