Daily Practice

Higher Plus

5th July 1990

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 2x - 2 and g(x) = 5x + 5. Work out fg(4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 7 cm and 15 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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