Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 500 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 3Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 4 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides 21 cm, 13 cm and 11 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
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