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 = 25, y = 25. Work out y when x = 64.
- 2The Cosine Rule3 marks
A triangle has sides 15 cm, 13 cm and 14 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
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