Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th April 2023
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 167 and y = 127, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Transforming Graphs y=f(x)3 marks
The point (-2, 2) lies on y = f(x). Write down its image on y = f(-x).
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