A Quantitative Reasoning Approach 7th Edition Study Guide
Comprehensive Questions with Correct Answers (Grade A+)
Question 1: Probability of event A or B occurring but not both
Answer: Add independent probabilities A+B and then subtract (AxB)
Question 2: Standard deviation
Answer: 1- find arithmetic mean of set
2-substract the mean of the set from each term in that set
3-square each result
4-Take the mean of those squares
5-Calculate the positive square root of that average
Question 3: Distinguishing from Combinations and permutations
Answer: If selection is unordered= combination
If ordered= permutation
Question 4: Combination
Answer:
Question 5: Permutation
Answer:
Question 6: Sum of interior angles
Answer: 180
Question 7: Measure of an exterior angle
Answer: = the sum of remote interior angles
Question 8: Sum of exterior angles
Answer: 360
Question 9: Area of triangle
Answer: 1/2 (base)x(height)
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, Question 10: Triangle inequality theorem
Answer: is the length of one side is 3 and the other is 7 then the
missing length must be greater than 7-3=4 and smaller than 7+3=10.
Question 11: Isosceles triangle
Answer: has 2 equal sides and base angles are equal
Question 12: Equilateral triangle
Answer: all sides and internal angles are equal
Question 13: Right triangle
Answer: has a 90 degree angle and two long legs. Longest leg is the
hypotenuse (opposite to 90 degree angle)
Question 14: Pythagorean theorem
Answer: if I know any 2 sides of right triangle then I can use
Question 15: Pythagorean triplets
Answer: (3,4,5), (6,8,10), (9,12,15), (5,12,13), (7,24,25), (8,15,17),
(9,40,41)
Question 16: 45,45,90 degrees triangles
Answer: the sides are in a ratio of 1:1:square root of 2
Question 17: 30,60,90 triangles
Answer: sides are in ratio 1: square root of 3: 2
Question 18: Isosceles trapezoid
Answer:
Question 19: Area of trapezoid
Answer: {(Base 1+base 2)/2 }x height
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Comprehensive Questions with Correct Answers (Grade A+)
Question 1: Probability of event A or B occurring but not both
Answer: Add independent probabilities A+B and then subtract (AxB)
Question 2: Standard deviation
Answer: 1- find arithmetic mean of set
2-substract the mean of the set from each term in that set
3-square each result
4-Take the mean of those squares
5-Calculate the positive square root of that average
Question 3: Distinguishing from Combinations and permutations
Answer: If selection is unordered= combination
If ordered= permutation
Question 4: Combination
Answer:
Question 5: Permutation
Answer:
Question 6: Sum of interior angles
Answer: 180
Question 7: Measure of an exterior angle
Answer: = the sum of remote interior angles
Question 8: Sum of exterior angles
Answer: 360
Question 9: Area of triangle
Answer: 1/2 (base)x(height)
Page 1
, Question 10: Triangle inequality theorem
Answer: is the length of one side is 3 and the other is 7 then the
missing length must be greater than 7-3=4 and smaller than 7+3=10.
Question 11: Isosceles triangle
Answer: has 2 equal sides and base angles are equal
Question 12: Equilateral triangle
Answer: all sides and internal angles are equal
Question 13: Right triangle
Answer: has a 90 degree angle and two long legs. Longest leg is the
hypotenuse (opposite to 90 degree angle)
Question 14: Pythagorean theorem
Answer: if I know any 2 sides of right triangle then I can use
Question 15: Pythagorean triplets
Answer: (3,4,5), (6,8,10), (9,12,15), (5,12,13), (7,24,25), (8,15,17),
(9,40,41)
Question 16: 45,45,90 degrees triangles
Answer: the sides are in a ratio of 1:1:square root of 2
Question 17: 30,60,90 triangles
Answer: sides are in ratio 1: square root of 3: 2
Question 18: Isosceles trapezoid
Answer:
Question 19: Area of trapezoid
Answer: {(Base 1+base 2)/2 }x height
Page 2
