Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th February 2024
- 1Bounds3 marks
x = 49 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 2x + 3 = y(x + 3).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 14 cm and an area of 96.99 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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