Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd September 2013
- 1Bounds3 marks
A block has mass 700 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.
- 2Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 3Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides 11 cm, 10 cm and 16 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
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