Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th September 2021
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 49.
- 2The Cosine Rule3 marks
A triangle has sides 15 cm, 16 cm and 6 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
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