Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd December 2018
- 1Bounds3 marks
x = 155 and y = 96, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 13 cm and an area of 84.44 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
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