Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2020
- 1Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 5) with x(0) = 3. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides 16 cm, 8 cm and 11 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 1/2. Work out n.
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