Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th August 2019
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
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