Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th August 2019
- 1Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 4.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 64.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 7 cm and an area of 14.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
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