Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th July 2000
- 1Bounds3 marks
x = 114 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 49.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 10 cm and an area of 30.31 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
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