Daily Practice

Higher Plus

27th September 1974

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

1
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 5/(x - 2) + 2/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 13 cm and 15 cm. Work out the angle opposite the 19 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 2/5. Work out n.

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