Advanced Math MCQ Quiz - Objective Question with Answer for Advanced Math - Download Free PDF

Last updated on Mar 20, 2025

Latest Advanced Math MCQ Objective Questions

Advanced Math Question 1:

The function p(n)=300,000(1.12)n estimates a company's profit in dollars, n years after introducing a new product. What does p(7)545,616 represent in this scenario?

  1. 7 years after introducing the new product, the company's profit is approximately 545,616 dollars.
  2. The profit increased by 545,616 dollars after 7 years.
  3. The profit at 7 years is 7 times the profit of the first year.
  4. The profit at 7 years is 12% higher than the previous year's profit.

Answer (Detailed Solution Below)

Option 1 : 7 years after introducing the new product, the company's profit is approximately 545,616 dollars.

Advanced Math Question 1 Detailed Solution

The function p(n)=300,000(1.12)n provides the profit n years after the product launch. p(7)545,616 implies that after 7 years, the profit is approximately 545,616 dollars.

Option 1 is correct, as it directly reflects the profit at n=7

Advanced Math Question 2:

A rocket follows the height function h(t)=4.9t2+50t+5. What is h(5)?

  1. 125.5
  2. 127.5
  3. 132.5
  4. 135.5

Answer (Detailed Solution Below)

Option 3 : 132.5

Advanced Math Question 2 Detailed Solution

Substitute t=5 into h(t)=4.9t2+50t+5. Compute 4.9(5)2+50(5)+5. 52=25, so 4.9×25=122.5. Then, 50×5=250. 122.5+250+5=132.5. Therefore, h(5)=132.5. The correct answer is 132.5.

Advanced Math Question 3:

A rectangle has a length that is twice its width. If the area of the rectangle is 50 square units, what is the width of the rectangle?

  1. 5
  2. 52
  3. 10
  4. 4

Answer (Detailed Solution Below)

Option 1 : 5

Advanced Math Question 3 Detailed Solution

Let w be the width of the rectangle. The length is 2w. The area is given by w×2w=50. This simplifies to 2w2=50. Dividing by 2, we have w2=25. Taking the square root of both sides gives w=5 or w=5. Since width cannot be negative, w=5.

Advanced Math Question 4:

A recipe calls for the equation 7x+4y=28. If x represents the number of cups of flour and y represents the number of cups of sugar, express y in terms of x.

  1. y = 287x4
  2. y = 7x284
  3. y = 28+7x
  4. y = 28x74

Answer (Detailed Solution Below)

Option 1 : y = 287x4

Advanced Math Question 4 Detailed Solution

To express y in terms of x, start with 7x+4y=28. Subtract 7x from both sides to get 4y=287x. Divide every term by 4 to isolate y: y=287x4. Thus, Option 1 is correct. Option 2 reverses subtraction, Option 3 does not account for division, and Option 4 misconstrues the equation structure. Following the algebraic manipulations accurately results in the correct expression.

Advanced Math Question 5:

If the function g(x)=px+q has a y-intercept of 453 and the product of p and q is 1823, what is the value of p?

  1. 13/3
  2. -13/3
  3. -15/3
  4. -12/3

Answer (Detailed Solution Below)

Option 2 : -13/3

Advanced Math Question 5 Detailed Solution

The function is given as g(x)=px+q. The y-intercept occurs when x=0, which means g(0)=p0+q=1+q. It is given that the y-intercept is 453=15. Therefore, 1+q=15, which gives q=14. Given that the product p×q=1823, substituting q=14 yields p×(14)=2003. Solving for p, we get:

p=2003÷(14)=1823×114=18242=133

Therefore, p is 20.

Top Advanced Math MCQ Objective Questions

Which of the following is an equivalent form of (1.5x - 2.4)2 - (5.2x2 - 6.4)?

A. -2.2x2 + 1.6

B. -2.2x2 + 11.2

C. -2.95x2 - 7.2x + 12.16

D. -2.95x2 - 7.2x + 0.64

  1. 1
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 3 : 3

Advanced Math Question 6 Detailed Solution

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Choice C is correct. The first expression (1.5x - 2.4)2 can be rewritten as (1.5x - 2.4)(1.5x - 2.4). Applying the distributive property to this product yields (2.25x- 3.6x - 3.6x + 5.76)-(5.2x2 - 6.4). This difference can be rewritten as (2.25x- 3.6x - 3.6x + 5.76) + (-1)(5.2x2 - 6.4). Distributing the factor of -1 through the second expression yields 2.25x- 3.6x - 3.6x + 5.76 - 5.2x+ 6.4. Regrouping like terms, the expression becomes (2.25x- 5.2x2) + (-3.6x - 3.6x) + (5.76 + 6.4). Combining like terms yields -2.95x- 7.2x + 12.16.

Choices A, B, and D are incorrect and likely result from errors made when applying the distributive property or combining the resulting like terms.

How many tablespoons are equivalent to 14 teaspoons? (3 teaspoons = 1 tablespoon)

  1. 14/3, 4.666, 4.667
  2. 1/3, 4.666,.667
  3. 14/3, 4.666, 467
  4. 1/3, 4.666, 4.7

Answer (Detailed Solution Below)

Option 1 : 14/3, 4.666, 4.667

Advanced Math Question 7 Detailed Solution

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The correct answer is 143. It's given that 3 teaspoons is equivalent to 1 tablespoon. Therefore, 14 teaspoons is equivalent to (14 teaspoons) (1 tablespoon 3 teaspoons ), or 143teaspoons. Note that 14/3, 4.666, and 4.667 are examples of ways to enter a correct answer.

A distance of 112 furlongs is equivalent to how many feet? (1 furlong = 220 yards and 1 yard = 3 feet)

  1. 7920
  2. 730
  3. 7390
  4. 73920

Answer (Detailed Solution Below)

Option 4 : 73920

Advanced Math Question 8 Detailed Solution

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The correct answer is 73,920. It's given that 1 furlong = 220 yards and 1 yard = 3 feet. It follows that a distance of 112 furlongs is equivalent to (112 furlongs )(220 yards 1 furlong )(3 foet 1 yard )or 73,920 feet.

A distance of 61 furlongs is equivalent to how many feet? (1 furlong = 220 yards and 1 yard = 3 feet)

  1. 40260
  2. 4026
  3. 4260
  4. 4020

Answer (Detailed Solution Below)

Option 1 : 40260

Advanced Math Question 9 Detailed Solution

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The correct answer is 40,260. It's given that 1 furlong = 220 yards and 1 yard = 3 feet. It follows that a distance of 61 furlongs is equivalent to (61 furlongs )(220 yards 1 furlong )(3 foet 1 yard ). or 40,260 feet.

Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters) 

  1. 25 meters per second 
  2. 32 meters per second 
  3. 250 meters per second 
  4. 324 meters per second 

Answer (Detailed Solution Below)

Option 1 : 25 meters per second 

Advanced Math Question 10 Detailed Solution

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Choice A is correct. Since 1 kilometer is equal to 1,000 meters, it follows that 90 kilometers is equal to 90(1,000)=90,000  meters. Since 1 hour is equal to 60 minutes and 1 minute is equal to 60 seconds, it follows that 1 hour is equal to 60(60) = 3,600 seconds. Now is equal to 90 kilometers 1 hour  is equal to 90,000 meters 3,600 seconds , which reduces to 25 meters 1 second  or 25 meters per second. 
Choices B, C, and D are incorrect and may result from conceptual or calculation errors. 

How many teaspoons are equivalent to 44 tablespoons? (3 teaspoons = 1 tablespoon)

  1. 47
  2. 88
  3. 132
  4. 176

Answer (Detailed Solution Below)

Option 3 : 132

Advanced Math Question 11 Detailed Solution

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Choice C is correct. It's given that 3 teaspoons is equivalent to 1 tablespoon. Therefore, 44 tablespoons is equivalent to (44 tablespoons) (3 teaspoons 1 tableapoon ), or 132 teaspoons.
Choice A is incorrect. This is equivalent to approximately 15.66 tablespoons, not 44 tablespoons.
Choice B is incorrect. This is equivalent to approximately 29.33 tablespoons, not 44 tablespoons.
Choice D is incorrect. This is equivalent to approximately 58.66 tablespoons, not 44 tablespoons.

If t = 4u, which of the following is equivalent to 2ť?

  1. 8u
  2. 2u
  3. u
  4. 12u

Answer (Detailed Solution Below)

Option 1 : 8u

Advanced Math Question 12 Detailed Solution

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Choice A is correct. It's given that t = 4u. Multiplying both sides of this equation by 2 yields 2t = 2(4u), or 2t = 8u.
Choice B is incorrect and may result from dividing, instead of multiplying, the right-hand side of the equation by 2. Choices C and D are incorrect and may result from calculation errors.

How many feet are equivalent to 34 yards? (1 yard = 3 feet)

  1. 102
  2. 111
  3. 101
  4. 103

Answer (Detailed Solution Below)

Option 1 : 102

Advanced Math Question 13 Detailed Solution

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The correct answer is 102. It's given that 1 yard is equivalent to 3 feet. Therefore, 34 yards is equivalent to (34 yards )(3 feet 1 yard ). or 102 feet.

How many yards are equivalent to 612 inches? (1 yard = 36 inches)

  1. 0.059
  2. 17
  3. 576
  4. 22,032

Answer (Detailed Solution Below)

Option 2 : 17

Advanced Math Question 14 Detailed Solution

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Choice B is correct. It's given that 1 yard = 36 inches. Therefore, 612 inches is equivalent to 612 inches (1 yard 38 inches ), which can be rewritten as 612 yards 36or 17 yards. 36
Choice A is incorrect. This is the number of yards that are equivalent to 2.124 inches.
Choice C is incorrect. This is the number of yards that are equivalent to 20,736 inches.
Choice D is incorrect. This is the number of yards that are equivalent to 793,152 inches.

Let the function p be defined as p(x)=(xc)2+1602c, where c is a constant. If p(c) = 10, what is the value of p(12) ?

A. 10.00

B. 10.25

C. 10.75

D. 11.00

  1. 1
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4

Advanced Math Question 15 Detailed Solution

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Choice D is correct. The value of p(12) depends on the value of the constant c, so the value of c must first be determined. It is given that p(c) = 10. Based on the definition of p, it follows that:

p(c)=(cc)2+1602c=10

1602c=10

2c = 16

c = 8

This means that p(x)=(x8)2+16016 for all values of x. Therefore:

p(12)=(128)2+16016

=16+16016

= 11

Choice A is incorrect. It is the value of p(8), not p(12). Choices B and C are incorrect. If one of these values were correct, then x = 12 and the selected value of p(12) could be substituted into the equation to solve for c. However, the values of c that result from choices B and C each result in p(c) < 10.

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