Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th December 2005

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
2
The Cosine Rule3 marks
A triangle has sides of 6 cm and 18 cm with an angle of 147° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
5
Surds3 marks
Simplify sqrt(75) + sqrt(48), giving your answer in the form a sqrt(b).

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