Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides 7 cm, 6 cm and 11 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
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