Daily Practice

Higher Plus

24th December 1963

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

1
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 2 and g(x) = 6x - 9. Work out fg(4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 15 cm and 8 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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