Daily Practice

Higher Plus

4th September 1987

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 40)/(x - 8).

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