Daily Practice

Higher Plus

25th September 1980

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 3x + 8. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 13 cm and 14 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.

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