Daily Practice

Higher Plus

6th July 1967

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 9 cm and 13 cm. Work out the angle opposite the 16 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 3/7. Work out n.

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