Daily Practice

Higher Plus

10th February 1980

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

1
Bounds3 marks
x = 133 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 8) with x(0) = 1. 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 = 9. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 9 cm with an angle of 118° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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