Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Algebraic Fractions3 marks
Write 7/(x - 6) + 4/(x - 5) as a single fraction.
- 3Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 7 cm and an area of 22.75 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
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