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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

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

  1. At what coordinates does the graph of 3y+ 5 = x - 1 intersects the y axis?

    1. (0 , -2)
    2. (0 , -1)
    3. (0, 1/3)
    4. (-2, 0)
    5. (-6,0)

    Answer (a)

    Explanation: The value at which a line intersects the y axis is called the y intercept; that is the y coordinate of the point of intersection. This means that the  x coordinate (or the value of x) should be  zero at each point on the y axis, so eliminate answer (d) and (e). If you put the line 3y + 5 = x - 1 into the form of y = mx + b then b will be the y intercept. The rearranged equation looks like the form y = 1/3x - 2. The y intercept is - 2 and you know the x coordinate must be zero, so the point of intersection has the coordinates (0, -2)

  2. Ronaldo is starting a small pump selling business. If he spends $200 on supplies and sells his pumps for $4 each, which of the following functions correctly shows the amount of money Ronaldo has gained or lost when he has sold x pumps?

    1. F(x) = 800x
    2. F(x) = 200x + 4
    3. F(x) = 200x - 4
    4. F(x) = 4x + 200
    5. F(x) = 4x - 200

    Answer (e)

    Explanation: Plug in x = 1,000. Then Ronaldo has earned 4x*1,000 = $4000 and spent $200 so he has made a total of $3,800, therefore the answer is (e)

  3. If 0 < n < 1 then all of the following must be true except:

    1. N2 < n
    2. N < square root of n
    3. N < n
    4. -n < n
    5. N < 1/n

    Answer (c)

    Explanation: Plug in 0.5 for n. Now n2 = 0.25, square root of n = 0.707, n = 0.5, - n = - 0.5, -n = -0.5, and 1/n = 2. This makes A B D and E true and (c) is false.

  4. If f(x) =2x2+ 2 then what is the value of f(x + 4)?

    1. 2x2+4
    2. 2x2 + 6
    3. 2x2+ x +6
    4. 2x2+ 16 +32
    5. 2x2+ 16x +34

    Answer (e)

    Explanation: Since there are variables in the answer choices you should insert in. Try x = 3. We are trying to find f(3 + 4) = f(7) = 2(7)2 + 2 which is 100 our target number. Now insert 3 in for x in the answer choices to see which answer choice goes with the target its (e)

  5. If set S consists of ten distinct positive integers, which of the following could be a member of S?

    1. The mean of the members of S
    2. The median of the members of S
    3. The mode of the members of S

    1. None
    2. 1 only
    3. 2 only
    4. 1 and 3
    5. 2 and 3

    Answer (b)

    Explanation: The median of the 10 numbers will be the average of the fifth and sixth numbers, because the numbers are distinct, the fifth and sixth numbers cannot be the same so the medium will be between them. Therefore the answer is b.

  6. If a cube and sphere intersect at exactly eight points then which of the following must be true?

    1. The sphere is inscribed in the cube
    2. The cube is inscribed in the sphere
    3. The diameter of the sphere is equal in length to an edge of the cube
    4. The sphere and the cube have equal volumes.
    5. The sphere and the cube have equal surface areas

    Answer (b)

    Explanation: When a cube is inscribed in a sphere each of the cube's 8 corners touch the inside of the sphere, therefore the answer is (b)

  7. Six congruent circles are arranged so that each circle is tangent externally to at least two other circles. The centers of the six circles are then connected to form a polygon. If each circle has a radius of 2 then what is the perimeter of this polygon?

    1. 6
    2. 12
    3. 24
    4. 36
    5. 48

    Answer (c)

    Explanation: Arrange the circles and connect them the resulting polygon will be a hexagon which always has a perimeter of 24. That's because the polygon is always made up of two radii for a total of 12 radii each with the length of 2.

  8. How many distinct three digit number contain only nonzero digit?

    1. 934
    2. 828
    3. 746
    4. 729
    5. 567

    Answer (d)

    Explanation: In a three digit number containing no 0. There are nine possibilities for the first digit 1 to 9, 9 possibilities for the 2nd digit 1 to 9, 9th possibilities for the third digit 1 to 9. This makes the total of 9*9*9 possible 3 digit numbers or 729

  9. If z = log, (yx) then xz =

    1. xx
    2. yx
    3. yx
    4. xy
    5. y

    Answer(b)

    Explanation: If (yx) = z is a component then z that turn x into yz. You can compute the value of z = 3.0103. The only answer choice that equals to 1,024. Therefore (b) is the answer.

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

    1. - 5
    2. - 2/3
    3. 3/13
    4. 67
    5. 34

    Answer (b)

    Explanation: To find the slope of the line simply, get its equation into the form y = yx + b, where x will be the value of the slope. To find 3y - 5 = 7 - 2x in this form, just take away y. You will find that y = -2/3 + 4. Therefore the answer is (b)

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