Daily Practice

Higher Plus

2nd November 1990

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - x > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 12 cm and 13 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.

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