Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th July 2024
- 1Bounds3 marks
A rectangle is 10 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 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 = 25, y = 35. Work out y when x = 36.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 15 cm and an area of 90.93 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) = 1/5. Work out r.
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