Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd March 2023
- 1Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
- 2Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 10 cm and an area of 69.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
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