Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th February 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 11 cm and 12 cm with an angle of 86° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 4 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
- 5Bounds3 marks
A car covers 630 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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