Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th February 2024
- 1Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A block has mass 670 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 5Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
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