Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd June 2025
- 1Conditional Probability3 marks
A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A block has mass 900 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Transforming Graphs y=f(x)3 marks
The point (5, 3) lies on y = f(x). Write down its image on y = f(x) - 6.
- 5Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 4 seconds. Work out its deceleration.
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