Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th February 2013
- 1Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Transforming Graphs y=f(x)3 marks
The point (-4, 5) lies on y = f(x). Write down its image on y = f(x + 5).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 16 cm, 14 cm and 6 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
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