Daily Practice

Higher Plus

24th November 1986

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Completing the Square3 marks
Write x^2 - 10x - 10 in the form (x + a)^2 + b.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 29 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 11 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?

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