Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 2006
- 1Bounds3 marks
A block has mass 770 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Completing the Square3 marks
Write x^2 + 16x + 1 in the form (x + a)^2 + b.
- 3Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 4 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides 8 cm, 7 cm and 9 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
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