Daily Practice

Higher Plus

9th March 1961

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 5x - 8 and g(x) = 4x - 3. Work out fg(1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 9 cm and 7 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.

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