Daily Practice

Higher Plus

26th September 1957

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 5. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 25 cm, 11 cm and 16 cm. Work out the angle opposite the 25 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 2/7. Work out n.

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