Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th July 2023
- 1Bounds3 marks
x = 77 and y = 53, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 14 cm and an area of 105.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
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