Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th December 2022
- 1Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 13, 30, 53, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
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