Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th February 1992

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

1
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 16 cm with an angle of 35° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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