Daily Practice

Higher Plus

27th August 1957

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

1
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 4x - 21)/(x + 3).
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 14 cm, 7 cm and 16 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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