Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 2Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 11 cm and an area of 22.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
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