Daily Practice

Higher Plus

4th May 1976

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 3 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
3
Histograms2 marks
On a histogram, a 5-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
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.

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