Daily Practice

Higher Plus

29th October 1965

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 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 21, 42, 71. Work out the second difference, and the coefficient of n^2.

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