Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th February 2007

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

1
Bounds3 marks
x = 185 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 7/(x + 2) + 7/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 6 cm and 6 cm with an angle of 51° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 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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