Daily Practice

Higher Plus

24th October 1986

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 8 cm and 11 cm. Work out the angle opposite the 5 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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