Daily Practice

Higher Plus

25th July 1969

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

1
Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 5 and g(x) = 2x + 5. Work out fg(-2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 10 cm and 7 cm. Work out the angle opposite the 11 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 3/11. Work out n.

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