Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 16.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 74°, side a is 18 cm and side b is 15 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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