Daily Practice · Higher Plus

Daily Practice - Higher Plus

12th November 1996

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

1
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 17 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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