Daily Practice

Higher Plus

7th February 1969

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 - 13x + 42)/(x - 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 12 cm with an angle of 80° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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