Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th June 2023
- 1Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 22, 44, 76. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 13 cm and an area of 50.66 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
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