Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th April 2019
- 1Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 2Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides of 10 cm and 9 cm with an angle of 142° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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