Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides 16 cm, 8 cm and 10 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
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