Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th September 1992

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 5 cm with an angle of 42° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 5 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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