Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th April 2025
- 1Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 7x + 7 = y(x + 7).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 64°, side a is 12 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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