Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th April 2024
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Write 6/(x - 6) + 7/(x + 2) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
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