Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

1st October 2004

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 2x + 8 and g(x) = 5x + 5. Work out fg(-3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 9 cm with an angle of 37° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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