Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th June 2022
- 1Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 36.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 6 cm and 16 cm. Work out the angle opposite the 13 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 7/9. Work out n.
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