Daily Practice

Higher Plus

28th November 1985

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 4/(x + 6) + 2/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 10 cm and 15 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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