Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th June 2021
- 1Bounds3 marks
A block has mass 280 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 3Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 57°, side a is 10 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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