Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th December 2020
- 1Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 12, 26, 44. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 24 cm, 12 cm and 15 cm. Work out the angle opposite the 24 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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