Daily Practice

Higher Plus

24th March 1981

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

1
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 10 cm and 7 cm. Work out the angle opposite the 10 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 2/5. Work out n.

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