Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th September 2017

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 = 25. Work out y when x = 5.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 10 cm and an area of 28.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).

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