Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th April 2023
- 1Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 5x + 5 = y(x + 5).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.
- 4The Cosine Rule3 marks
A triangle has sides of 14 cm and 18 cm with an angle of 83° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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