Math and Ratio Word Problems Quiz

If the ratio of women to men attending a football game is 2 : 3, what percentage of the total attendees are men?

• 30%

• 40%

• 60%

• 66%

Answer explanation

The ratio of women to men is 2:3. This means for every 5 attendees (2 women + 3 men), 3 are men. To find the percentage of men, divide 3 by 5 and multiply by 100, resulting in 60%. Thus, the correct answer is 60%.

Which context can NOT be represented with the numbers 10 and -13?

• Analysse puts $10 in her savings account. The following day, she takes $13 out of her savings account.

• Dawn was at the pool this past summer. Dawn was on the diving block which was 13 feet above the pool surface and when she dove, she reached a depth of 10 meters before coming back up to the surface.

• Recently in Chicago, it was 10 degrees above 0. At night, the temperature fell to 13 degrees below 0.

• The NY Giants lose 13 yards on the first play. On the next play, the Giants gain 10 yards.

Answer explanation

Dawn's context cannot be represented with 10 and -13 because it mixes units (feet and meters) and does not reflect a net change like the other scenarios, which involve consistent numerical representations.

Which value for p makes this equation true? (12 × 52) = (12 × 50) + (12 × p)

• 50

• 2

• 12

• 52

Answer explanation

To solve for p, simplify the equation: (12 × 52) = (12 × 50) + (12 × p). This gives 624 = 600 + 12p. Subtract 600 from both sides: 24 = 12p. Dividing by 12, we find p = 2, which is the correct answer.

Express the equivalent of 4³.

• 7

• 12

• 16

• 64

Answer explanation

4³ means 4 multiplied by itself three times: 4 x 4 x 4 = 16 x 4 = 64. Therefore, the equivalent of 4³ is 64.

Anita mixed 15 pints of yellow paint with 30 pints of blue paint to make a shade of green paint. Her friend Nic wants to make the same shade of green at his house. For every one pint of blue paint he uses, how many pints of yellow paint should Nic mix with it?

• 0.5 pints

• 1 pint

• 2 pints

• 3 pints

Answer explanation

Anita used 15 pints of yellow and 30 pints of blue, giving a ratio of 15:30 or 1:2. For every 1 pint of blue, Nic should use 0.5 pints of yellow to maintain the same ratio, making 0.5 pints the correct answer.

What should you do at the end of section 1 according to the instructions?

• Move on to the next section without checking your work

• Go back and check your work for questions #1-7

• Use a calculator to check your answers

• Skip to the last question

Answer explanation

According to the instructions, at the end of section 1, you should go back and check your work for questions #1-7 to ensure accuracy before moving on.

What does the stop sign in the document indicate?

• You should continue to the next section

• You should stop and check your work

• You should skip the questions

• You should use a calculator

Answer explanation

The stop sign indicates that you should pause and verify your work before proceeding. This ensures accuracy and understanding, making 'You should stop and check your work' the correct choice.

At a party, every person either ate cake or a cookie. 40% of attendees ate cake, and 15 people ate cookies. How many people were at the party in total?

• 25 people

• 30 people

• 20 people

• 35 people

Answer explanation

Let total attendees be x. 40% ate cake, so 0.4x ate cake. Since 15 ate cookies, we have 0.4x + 15 = x. Solving gives x = 25. Thus, there were 25 people at the party.

On a coordinate graph, points A (2, 5), B (-1, 5), C (-1, -2) and D (2, -2) are vertices of a rectangle. What is the area of the rectangle?

• 20 square units

• 21 square units

• 14 square units

• 13 square units

Answer explanation

To find the area of rectangle ABCD, calculate the length and width. The length (horizontal distance) is |2 - (-1)| = 3 units, and the width (vertical distance) is |5 - (-2)| = 7 units. Area = length × width = 3 × 7 = 21 square units.

Which set of numbers below represents possible solutions to the inequality n ≤ -4?

• -2, -1, -0

• -5, -4, -3

• -6, -4, -2

• -6, -8, -10

Answer explanation

The inequality n ≤ -4 includes all numbers less than or equal to -4. The set -6, -8, -10 contains only numbers less than -4, making it the correct choice. The other sets include numbers greater than -4.