Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th September 2021
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 15 cm and an area of 41.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
- 4Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 1.5. How many values are in that class?
- 5Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
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