Daily Practice

Higher Plus

23rd December 1986

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

1
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
2
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 6)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 13 cm and 10 cm. Work out the angle opposite the 19 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 3/4. Work out n.

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