Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd March 2016

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 = 3, y = 54. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides of 6 cm and 13 cm with an angle of 41° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 2 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 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).

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