Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th January 2023
- 1Conditional Probability3 marks
A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).
- 4Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
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