Daily Practice

Higher Plus

11th April 1989

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

1
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
2
Factorising Harder Quadratics3 marks
Solve 2x^2 + 7x + 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 21 cm, 10 cm and 14 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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