Daily Practice

Higher Plus

6th March 1981

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

1
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 12x^2 + 13x - 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 10 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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