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SAT MATH COMPREHENSIVE QUESTIONS AND VERIFIED CORRECT ANSWERS GRADE A+ 2024 UPDATE GET IT RIGHT
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SAT MATH COMPREHENSIVE QUESTIONS AND VERIFIED CORRECT ANSWERS GRADE A+ 2024 UPDATE GET IT RIGHT
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SAT MATH COMPREHENSIVE QUESTIONS ANDVERIFIED CORRECT ANSWERS GRADE A+ 2024
UPDATE GET IT RIGHT
How do you solve a problem involving rates? - (correct answer) To
solve a rate problem, use the units to keep things straight. For example,
if asked: If snow is falling at the rate of one foot every four hours, how
many inches of snow will fall in seven hours?
Your setup would be:
1 foot/ 4 hours = x inches/ 7 hours
12 inches/ 4 hours = x inches/ 7 hours
4x = 12 x 7
x = 21
How do you convert from part-to-part ratios to part-to-whole ratios? -
(correct answer) If the parts add up to the whole, a part-to-part ratio
can be turned into two part-to-whole ratios by putting each number in
the original ratio over the sum of the numbers. For example, if the ratio
of males to females is 1 to 2, then the males-to-people ratio is 1/ (1+2)
= 1/3 and the females-to-people ratio is 2/ (1+2) = 2/3
In other words, 2/3 of all the people are female.
How do you solve a proportion? - (correct answer) To solve a
proportion, cross multiply.
For example:
,x/5 = 3/4
4x = 3 x 5
x = 15/4 = 3.75
What is the average rate and how do you find it? - (correct answer)
Average rate is not simply the average of the rates.
Average A per B = Total A/ Total B, so
Average Speed = Total distance/ Total time
For example, to find the average speed for 120 miles at 40 mph and
120 miles at 60 mph, don't just average the two speeds. First, figure out
the total distance and the total time. The total distance is 120 + 120 =
240 miles. The times are three hours for the first leg and two hours for
the second leg, or five hours total. The average speed, then, is 240/5 =
48 miles per hour.
What is the formula used to find average? - (correct answer) To find
the average of a set of numbers, add them up and divide by how many
there are.
Average = Sum of the terms / Number of the terms
How do you quickly find the average of a series of evenly spaced
numbers? - (correct answer) For evenly spaced numbers, the
average is the middle value. To find the average of evenly spaced
numbers, just average the smallest and the largest.
,For example, the average of all the integers from 13 through 77 is the
same as the average of 13 and 77.
13 + 77/ 2 = 90/ 2 = 45
If you have an average of a series of numbers, how can you find their
sum? - (correct answer) Use the formula:
Sum = Average x Number of terms
If the average of 10 numbers is 50, then they add up to 10 x 50, or 500.
How do you find the missing number in a series when you are given the
average? - (correct answer) To find a missing number when you're
given the average, use the sum.
Sum = Average x Number of Terms
For example, if the average of 4 numbers is 7, then the sum of those 4
numbers is 4 x 7, or 28. Suppose that 3 of the numbers are 3, 5, and 8.
These 3 numbers add up to 16 of that 28, which leaves 12 for the fourth
number.
How do you find the median of a set of numbers? - (correct answer)
The median of a set of numbers is the value that falls in the middle of
the set.
For example, if you have 5 test scores, and they are 88, 86, 57, 94, and
73, you must first list the scores in increasing or decreasing order: 57,
73, 86, 88, 94. The median is the middle number, or 86. If there is an
even number of values in a set (6 test scores, for instance), simply take
the average of the two middle numbers.
, How do you calculate the total number of possibilities for several
events to occur? - (correct answer) The fundamental counting
principle: If there are m ways one event can happen and n ways a
second event can happen, then there are m x n ways for the 2 events to
happen. For example, with 5 shirts and 7 pairs of pants to choose from,
you can have 5 x 7 = 35 different outfits.
How do you find the mode of a set of numbers? - (correct answer)
The mode of a set of numbers is the value that appears most often.
For example, if your test scores were 88, 57, 68, 85, 99, 93, 93, 84, and
81, the mode of the scores would be 93 because it appear more often
than any other score.
If there is a tie for the most common value in a set, the set has more
than one mode.
How do you multiply expressions with exponents that have a common
base? - (correct answer) To multiply exponential terms with the
same base, add the exponents and keep the same base:
x^3 x x^4 = x^3+4 = x^7
How do you calculate the probability that an event will take place? -
(correct answer) Number of Favorable Outcomes/ Total Possible
Outcomes
^ Probability =
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