Daily Practice

Higher Plus

6th August 1982

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 81.
2
The Cosine Rule3 marks
A triangle has sides 17 cm, 7 cm and 13 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

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