Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd August 1996

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

1
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
2
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 7 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 5 red and 3 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 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?

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