Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th October 2020
- 1Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
- 2Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 16 cm and an area of 62.23 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
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