Daily Practice · Higher Plus

Daily Practice - Higher Plus

31st October 1996

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 5x + 12. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 6 cm and 7 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

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