Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th July 1994

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 5 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional 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?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 18, 33, 52, ...

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