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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Below are the few questions on Multiple Choice. Choose the correct answer from the following questions

1. If 7a + 2b = 11 and a - 2b = 5, then what is the value of a?

1. - 5.0
2. - 8.5
3. - 0.8
4. 1.9
5. 2.0

Explanation: When you are given two equations extremely similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the b term leaving you with the equation 8a = 16, so a = 2

2. If f(x) = x2 - 3X, then f(-3) =

1. 0
2. 2.3
3. 9.0
4. 5.9
5. 18.0

Explanation: Plug - 3 into the function: (-3)2 - 3 (-3) = 18

3. If m varies directly as n and m/n = 5, then what is the value of m when n = 2.2?

1. 0.74
2. 9.25
3. 8.60
4. 5.80
5. 11.00

Explanation: Direct variation between two quantities means that they always have the same quotient. In this case, it means that m/n must always be equal to 5. To find the value of m when n = 2.2, set up the equation m/2.2 = 5 and solve for m. You will find that m = 11

4. What is the slope of the line given by the equation 3y - 5 = 7 - 2x?

1. - 8
2. - 2/3
3. 3/8
4. 3
5. 9

Explanation: To find the slope of the line easily, get its equation into the form y = mx + b, where m will be the value of the slope. To express 3y - 5 = 7 - 2x in this form, just isolate y. You will find that y = -2/3 + 4. Here the slope of the line (m) is - 2/3

5. (n3)6 * (n4)5/n2 =

1. N9
2. N 45
3. N 14
4. N 36
5. N 23

Explanation: A quick review of exponent rules. When raising powers to powers; multiply exponents. When multiplying powers of the same base add exponents and when dividing powers of the same base, subtract exponents. For this problem you have to do all three.

(N3)6 * (N4)5/N2 = N18 * N20/N2 = N38/N2 = N36

6. If f(x) = 5 - 2x and g (x) = x2 + 7, then f (g(2)) =

1. - 17
2. - 8
3. 9
4. 12
5. 28

Explanation: Work from the inside out, g(2) = 22 + 7 = 11. Now place 11 for x f(11) = 5 - 2 (11) = - 17

7. If the perimeter of a square is 60, what is the area of the square?

1. 13√3
2. 25√2
3. 56
4. 185
5. 225

Explanation: The sides of the square are the same. So each side must be 15. Since the area of a square is side 2 , therefore it is (15)2 = 225.

8. Which of the following lines is perpendicular to the line 3x - 2y =16?

1. 3x - 2y = 25
2. 3x + 2y = 16
3. 2x - 3y = 7
4. 6x  + 9y = 16
5. 6x - 9y = 32

Explanation: Move the equation around so that it is in y = mx + b formula: y = 3/2x - 8. So an equation perpendicular would have a slope of - 2/3. Therefore the answer would be (d)

9. The surface area of a sphere is 75 square centimeters. What is the volume of the sphere in cubic centimeters?

1. 2.253
2. 8.788
3. 17.231
4. 12.85
5. 61.075

Answer (e) Use the formula for surface area of a sphere with radius r. In case you forget the equation, it is given in the reference information at the beginning of the test: S = 4Πr2. You are given S, so write 75 = 4Πr2 and therefore r = 2.443. The formula for volume of a sphere with radius r is also given in the reference info. Its V = 4/3Πr3. Now, plug r = 2.443 into the formula, therefore the correct answer V = 61.075

10. Where defined, {x2 - 4/4} {8/2x + 4} =

1. 6
2. 5X
3. X - 2
4. X + 8
5. 9x2 - 2

Explanation: You can just factor this one and then cancel

{x2 - 4/4} {8/2x + 4} = {(x + 2) (x - 2)/4} {2 * 4/2(x + 2)} = x - 2

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