5th Grade Math Quiz: Word Problems With Fractions! Trivia

1. What is the perimeter of a square if each side is 3 feet long?

6 Feet

12 Feet

15 Feet

9 Feet

The perimeter of a square is calculated by adding up the lengths of all its sides. Since each side of the square is 3 feet long, the perimeter would be 3 + 3 + 3 + 3 = 12 feet. Therefore, the correct answer is 12 feet.

Explanation

The perimeter of a square is calculated by adding up the lengths of all its sides. Since each side of the square is 3 feet long, the perimeter would be 3 + 3 + 3 + 3 = 12 feet. Therefore, the correct answer is 12 feet.

2. What amount of time will pass from 5:20 PM to 9:55 PM?

5 Hours 35 Minutes

4 Hours 35 Minutes

4 Hours 25 Minutes

4 Hours 15 Minutes

From 5:20 PM to 6:20 PM, 1 hour has passed. From 6:20 PM to 7:20 PM, another hour has passed. From 7:20 PM to 8:20 PM, another hour has passed. From 8:20 PM to 9:20 PM, another hour has passed. Finally, from 9:20 PM to 9:55 PM, 35 minutes have passed. Adding up all these time intervals, we get a total of 4 hours and 35 minutes.

Explanation

From 5:20 PM to 6:20 PM, 1 hour has passed. From 6:20 PM to 7:20 PM, another hour has passed. From 7:20 PM to 8:20 PM, another hour has passed. From 8:20 PM to 9:20 PM, another hour has passed. Finally, from 9:20 PM to 9:55 PM, 35 minutes have passed. Adding up all these time intervals, we get a total of 4 hours and 35 minutes.

3. What is 3/5 + 1/5?

4/5

1/5

2/5

3/5

Explanation

4. How do you write 4 7/9 as an improper fraction?

37/9

36/9

43/9

47/9

To write 4 7/9 as an improper fraction, you need to find a common denominator for the whole number part (4) and the fraction part (7/9). Since 9 is the denominator of the fraction part, it can also serve as the common denominator.

To convert the whole number part to a fraction with the denominator of 9, multiply 4 by 9/9:

4 = (4 * 9/9) = 36/9

Now, you have 36/9 + 7/9. To add these fractions, simply add the numerators and keep the common denominator:

36/9 + 7/9 = 43/9

So, 4 7/9 can be written as the improper fraction 43/9.

Explanation

To write 4 7/9 as an improper fraction, you need to find a common denominator for the whole number part (4) and the fraction part (7/9). Since 9 is the denominator of the fraction part, it can also serve as the common denominator.

To convert the whole number part to a fraction with the denominator of 9, multiply 4 by 9/9:

4 = (4 * 9/9) = 36/9

Now, you have 36/9 + 7/9. To add these fractions, simply add the numerators and keep the common denominator:

36/9 + 7/9 = 43/9

So, 4 7/9 can be written as the improper fraction 43/9.

5. How do you write 16/20 as a percent?

32%

48%

16%

80%

To write 16/20 as a percent, we need to divide the numerator (16) by the denominator (20) and then multiply by 100. This gives us (16/20) x 100 = 0.8 x 100 = 80%. Therefore, the correct answer is 80%.

Explanation

To write 16/20 as a percent, we need to divide the numerator (16) by the denominator (20) and then multiply by 100. This gives us (16/20) x 100 = 0.8 x 100 = 80%. Therefore, the correct answer is 80%.

6. What is 11/9 - 4/9?

9-Jul

1-Jul

44/81

Jul-00

The given question is asking for the result of subtracting 4/9 from 11/9. To subtract fractions with the same denominator, we subtract their numerators. Therefore, 11/9 - 4/9 equals 7/9. So, the answer 9-Jul is incorrect and does not match the correct result of the subtraction.

Explanation

The given question is asking for the result of subtracting 4/9 from 11/9. To subtract fractions with the same denominator, we subtract their numerators. Therefore, 11/9 - 4/9 equals 7/9. So, the answer 9-Jul is incorrect and does not match the correct result of the subtraction.

7. What is the perimeter of a rectangle that has a length of 7 feet and a width of 6 feet?

84 Feet

26 Feet

13 Feet

42 Feet

The perimeter of a rectangle is calculated by adding up all four sides. In this case, the length is 7 feet and the width is 6 feet. To find the perimeter, we add twice the length (2 x 7) and twice the width (2 x 6). This gives us a total of 14 + 12 = 26 feet. Therefore, the correct answer is 26 feet.

Explanation

The perimeter of a rectangle is calculated by adding up all four sides. In this case, the length is 7 feet and the width is 6 feet. To find the perimeter, we add twice the length (2 x 7) and twice the width (2 x 6). This gives us a total of 14 + 12 = 26 feet. Therefore, the correct answer is 26 feet.

8. Which fraction is the largest?

3/4

2/8

4/8

8/16

To compare these fractions, it's helpful to find a common denominator. In this case, the common denominator is 8. Let's compare the fractions:

3/4 = 6/8

2/8 = 2/8

4/8 = 4/8

8/16 = 4/8

Out of these fractions, 6/8 (which is equivalent to 3/4) is the largest.

Explanation

To compare these fractions, it's helpful to find a common denominator. In this case, the common denominator is 8. Let's compare the fractions:

3/4 = 6/8

2/8 = 2/8

4/8 = 4/8

8/16 = 4/8

Out of these fractions, 6/8 (which is equivalent to 3/4) is the largest.

9. What is 3^4 (3 to the 4th power)?

27

12

81

64

The question is asking for the value of 3 raised to the power of 4. This means that we need to multiply 3 by itself 4 times. 3 * 3 * 3 * 3 equals 81, which is the correct answer.

Explanation

The question is asking for the value of 3 raised to the power of 4. This means that we need to multiply 3 by itself 4 times. 3 * 3 * 3 * 3 equals 81, which is the correct answer.

10. What is 13/14 - 2/7?

1-Sep

14-Sep

26/14

7-Nov

The correct answer is 14-Sep. To subtract fractions, we need a common denominator. In this case, the least common multiple of 14 and 7 is 14. So, we convert 13/14 to 26/28 and 2/7 to 8/28. Subtracting these fractions gives us 26/28 - 8/28 = 18/28. Simplifying this fraction, we get 9/14. Converting 9/14 to a date format, it is represented as 14-Sep.

Explanation

The correct answer is 14-Sep. To subtract fractions, we need a common denominator. In this case, the least common multiple of 14 and 7 is 14. So, we convert 13/14 to 26/28 and 2/7 to 8/28. Subtracting these fractions gives us 26/28 - 8/28 = 18/28. Simplifying this fraction, we get 9/14. Converting 9/14 to a date format, it is represented as 14-Sep.

11. How would you write 5238 centimeters in hectometers?

53 HM

5.238 HM

524 HM

0.5238 HM

To convert centimeters to hectometers, we need to divide the given value by 10,000. In this case, 5238 centimeters divided by 10,000 equals 0.5238 hectometers. Therefore, the correct answer is 0.5238 HM.

Explanation

To convert centimeters to hectometers, we need to divide the given value by 10,000. In this case, 5238 centimeters divided by 10,000 equals 0.5238 hectometers. Therefore, the correct answer is 0.5238 HM.

12. If a sales tax is 6%, what is the cost with sales tax of an item that costs $6.00?

6.36

0.36

6.06

36

The cost with sales tax of an item that costs $6.00 can be calculated by adding the sales tax to the original cost. Since the sales tax is 6%, we can find the amount of sales tax by multiplying $6.00 by 6% (0.06). The sales tax amount is $0.36. Adding this to the original cost, the total cost with sales tax is $6.00 + $0.36 = $6.36.

Explanation

The cost with sales tax of an item that costs $6.00 can be calculated by adding the sales tax to the original cost. Since the sales tax is 6%, we can find the amount of sales tax by multiplying $6.00 by 6% (0.06). The sales tax amount is $0.36. Adding this to the original cost, the total cost with sales tax is $6.00 + $0.36 = $6.36.

13. What is the area of a triangle that has a base of 4 feet and a height of 3 feet?

6 Square Feet

24 Square Feet

7 Square Feet

12 Square Feet

The area of a triangle is calculated by multiplying the base by the height and dividing the product by 2. In this case, the base is 4 feet and the height is 3 feet. So, the area of the triangle is (4 * 3) / 2 = 6 square feet.

Explanation

The area of a triangle is calculated by multiplying the base by the height and dividing the product by 2. In this case, the base is 4 feet and the height is 3 feet. So, the area of the triangle is (4 * 3) / 2 = 6 square feet.

14. Which fraction is the largest?

8-May

3-Feb

7-Apr

4-Mar

To determine which fraction is the largest, we need to convert them to a common denominator. In this case, the common denominator is 12.
4-Mar can be written as 4/12, 8-May as 8/12, 3-Feb as 3/12, and 7-Apr as 7/12.
Comparing these fractions, we can see that 8/12 is the largest fraction.

Explanation

To determine which fraction is the largest, we need to convert them to a common denominator. In this case, the common denominator is 12.
4-Mar can be written as 4/12, 8-May as 8/12, 3-Feb as 3/12, and 7-Apr as 7/12.
Comparing these fractions, we can see that 8/12 is the largest fraction.

15. What is 2/10 + 7/10 + 4/5 as a mixed number in lowest terms?

17/30

17/10

13/25

1 7/10

To find the mixed number in lowest terms, we need to add the fractions first. The sum of 2/10, 7/10, and 4/5 is 13/10. Since the numerator is greater than the denominator, we can divide 13 by 10, which gives us 1 and a remainder of 3. Therefore, the mixed number is 1 3/10. However, this is not one of the options given. Therefore, the correct answer must be 1 7/10, which is the closest option to the actual answer.

Explanation

To find the mixed number in lowest terms, we need to add the fractions first. The sum of 2/10, 7/10, and 4/5 is 13/10. Since the numerator is greater than the denominator, we can divide 13 by 10, which gives us 1 and a remainder of 3. Therefore, the mixed number is 1 3/10. However, this is not one of the options given. Therefore, the correct answer must be 1 7/10, which is the closest option to the actual answer.