Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 156 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Transforming Graphs y=f(x)3 marks
The point (-5, 5) lies on y = f(x). Write down its image on y = f(x) + 2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 36.
- 4The Cosine Rule3 marks
A triangle has sides of 18 cm and 17 cm with an angle of 44° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 4 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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