Daily Practice

Higher Plus

19th February 1980

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 10 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 7 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 20 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
5
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 24)/(x + 6).

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