Daily Practice

Higher Plus

15th October 1986

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 4 cm by 4 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 5 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 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 10 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Quadratic Inequalities3 marks
Solve x^2 + 6x - 7 < 0.

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