Daily Practice

Higher Plus

17th March 1988

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 14 cm and 10 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

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