Daily Practice

Higher Plus

6th October 1982

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 5 cm by 13 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 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 5 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.

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