Daily Practice

Higher Plus

25th October 1984

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 14 cm by 13 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 7 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 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 22, 46, 78. Work out the second difference, and the coefficient of n^2.

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