Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th April 2021
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides 19 cm, 12 cm and 15 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 4Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.5. How many values are in that class?
- 5Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
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