Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th April 2009

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides of 8 cm and 8 cm with an angle of 70° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).

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