Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st December 2013
- 1Bounds3 marks
x = 116 and y = 89, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -7, -4, 3, 14, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 81.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 9 cm and 6 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
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