Daily Practice

Higher Plus

6th July 1987

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 4 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 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A block has mass 900 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.

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