Daily Practice

Higher Plus

28th October 1988

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 9 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
3
Histograms2 marks
On a histogram, a 5-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 99/sqrt(11), giving your answer in its simplest form.
5
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 2 = y(x + 2).

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