Daily Practice

Higher Plus

11th August 1964

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 14 cm by 14 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 6 red and 5 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 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.

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