Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 550 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 10, 17, 26, 37, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides 8 cm, 11 cm and 9 cm. Work out the angle opposite the 8 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 7/10. Work out n.
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