Daily Practice

Higher Plus

6th June 1967

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

1
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
2
Algebraic Fractions3 marks
Simplify (x^2 + x - 20)/(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 13 cm and 16 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.

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