Daily Practice

Higher Plus

14th April 1981

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 12 cm by 11 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 8 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 20 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 6 = y(x + 6).

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