Daily Practice

Higher Plus

25th February 1977

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

1
Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 + 4x - 12 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 5 cm with an angle of 131° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 3 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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