Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th November 2023
- 1Factorising Harder Quadratics3 marks
Solve 2x^2 + 11x - 6 = 0.
- 2Velocity Time Graphs3 marks
A tram runs at 20 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
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