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 = 49, y = 14. Work out y when x = 25.
- 2The Cosine Rule3 marks
A triangle has sides 6 cm, 15 cm and 11 cm. Work out the angle opposite the 6 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 7/15. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
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