Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th August 2014
- 1Bounds3 marks
A car covers 720 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 6x - 16)/(x - 8).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 9 cm and an area of 33.75 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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