Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th September 2023
- 1Bounds3 marks
x = 76 and y = 44, 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 4, 5, 8, 13, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 16 cm and 10 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
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