Daily Practice

Higher Plus

16th October 1979

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 9 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-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 (5 + sqrt(10))(5 - sqrt(10)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 0, 9, 24, 45. Work out the second difference, and the coefficient of n^2.

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