Daily Practice

Higher Plus

8th June 1982

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 10 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 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
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
5
Factorising Harder Quadratics3 marks
Solve 4x^2 + 4x + 1 = 0.

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