Daily Practice

Higher Plus

11th August 1987

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 11 cm by 12 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 5 red and 3 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 2.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 1, 6, 13. Work out the second difference, and the coefficient of n^2.

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