SAT Section Two : Mathematics - SAT-Mathematics Exam Questions
QUESTION NO: 1
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the
ratio of guppies to platies becomes 5:4. How many guppies are in the fish tank now?
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the
ratio of guppies to platies becomes 5:4. How many guppies are in the fish tank now?
Correct Answer:
25
Explanation/Reference:
If the original ratio of guppies, g, to plates, p, is 4:5, then g =4/5pIf nine guppies are added, then the new
number of guppies, g + 9, is equal to5/4p: g+9 = 5/4p.Substitute the value of g in terms of p from the first
equation:4/5 p+9 = 5/4p,9 = 9/20p, =p = 20.There are 20 plates in the fish tank and there are now20(5/4)
=25guppies in the fish tank.
Explanation/Reference:
If the original ratio of guppies, g, to plates, p, is 4:5, then g =4/5pIf nine guppies are added, then the new
number of guppies, g + 9, is equal to5/4p: g+9 = 5/4p.Substitute the value of g in terms of p from the first
equation:4/5 p+9 = 5/4p,9 = 9/20p, =p = 20.There are 20 plates in the fish tank and there are now20(5/4)
=25guppies in the fish tank.
QUESTION NO: 2
The equation is undefined when
The equation is undefined when
Correct Answer: C
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QUESTION NO: 3
It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?
It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?
Correct Answer: B
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QUESTION NO: 4
Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how
many different sets of three paintings does Greg have to choose?
Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how
many different sets of three paintings does Greg have to choose?
Correct Answer: E
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QUESTION NO: 5
The point (6, 3) could be the midpoint of which of the following lines?
The point (6, 3) could be the midpoint of which of the following lines?
Correct Answer: B
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QUESTION NO: 6
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and
pays a 5% tax on her purchase, what is Stephanie's total bill?
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and
pays a 5% tax on her purchase, what is Stephanie's total bill?
Correct Answer:
4.20
Explanation/Reference:
If one pound of almonds costs $1.00, then 4 pounds of almonds costs 4($1.00) = $4.00. If Stephanie pays
a 5% tax, then she pays ($4.00)(0.05) = $0.20 in tax. Her total bill is $4.00 + $0.20 = $4.20.
Explanation/Reference:
If one pound of almonds costs $1.00, then 4 pounds of almonds costs 4($1.00) = $4.00. If Stephanie pays
a 5% tax, then she pays ($4.00)(0.05) = $0.20 in tax. Her total bill is $4.00 + $0.20 = $4.20.
QUESTION NO: 7
If 2a2 + b = 10 and - what is the positive value of a?
If 2a2 + b = 10 and - what is the positive value of a?
Correct Answer:
3
Explanation/Reference:
Solve2a2+b= 10 for b:b=10-2a2. Substitute (10-2a2) for b in the second equation and solve for a:
The positive value of a is 3
Explanation/Reference:
Solve2a2+b= 10 for b:b=10-2a2. Substitute (10-2a2) for b in the second equation and solve for a:
The positive value of a is 3
QUESTION NO: 8
Which of the following statements is always true if p is a rational number?
Which of the following statements is always true if p is a rational number?
Correct Answer: A
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QUESTION NO: 9
What is the next number in the series below?
3 16 6 12 12 8
What is the next number in the series below?
3 16 6 12 12 8
Correct Answer: B
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QUESTION NO: 10
Which of the following is the set of positive factors of 12 that are NOT multiples of 2?
Which of the following is the set of positive factors of 12 that are NOT multiples of 2?
Correct Answer: B
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