Daily Practice

Higher Plus

11th August 1981

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 = 25, y = 10. Work out y when x = 64.
2
The Cosine Rule3 marks
A triangle has sides 17 cm, 14 cm and 10 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).

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