Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd May 2010

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

1
Bounds3 marks
A block has mass 900 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 5 and g(x) = 5x - 4. Work out fg(6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 13 cm with an angle of 49° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 7 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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