Daily Practice

Higher Plus

14th May 1981

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 6 cm by 6 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 9 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 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 9) with x(0) = 5. Work out x(1) to 3 decimal places.

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