Daily Practice

Higher Plus

8th January 1984

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

1
Bounds3 marks
x = 76 and y = 36, 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 (6x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 10 cm and 7 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.

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