Daily Practice

Higher Plus

12th June 1987

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 12 cm by 12 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 6 red and 7 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 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Write 4/(x + 6) + 2/(x - 6) as a single fraction.

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