Daily Practice

Higher Plus

24th October 1990

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 13 cm by 9 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 4 red and 5 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 10 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 12 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Factorising Harder Quadratics3 marks
Solve 20x^2 - 27x + 9 = 0.

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