Play With Mathematics: Quantitative And Reasoning Quiz!

1. The Least Common Multiple of two numbers is the smallest number (not including zero) that is a multiple of both. What this the LCM of 3 and 4?

0

12

21

24

The LCM of two numbers is the smallest number that is divisible by both numbers without leaving a remainder. In this case, the LCM of 3 and 4 is 12 because it is the smallest number that is divisible by both 3 and 4.

Explanation

The LCM of two numbers is the smallest number that is divisible by both numbers without leaving a remainder. In this case, the LCM of 3 and 4 is 12 because it is the smallest number that is divisible by both 3 and 4.

2. Solve the expression below. 4*2 + 3(6-2) + 81

100

101

104

96

The expression can be solved by following the order of operations (PEMDAS/BODMAS). First, we simplify the expression inside the parentheses: 6-2 = 4. Then, we multiply 3 by 4, which equals 12. Next, we multiply 4 by 2, which equals 8. Finally, we add 8, 12, and 81, which equals 101. Therefore, the correct answer is 101.

Explanation

The expression can be solved by following the order of operations (PEMDAS/BODMAS). First, we simplify the expression inside the parentheses: 6-2 = 4. Then, we multiply 3 by 4, which equals 12. Next, we multiply 4 by 2, which equals 8. Finally, we add 8, 12, and 81, which equals 101. Therefore, the correct answer is 101.

3. Kevin walks home from school and it takes him an average of 1/2 hour per mile. What is a reasonable amount of time for him to walk to the movies which are 6.0 miles away?

2 hours

3 hours

3.5 hours

4.0 hours

Kevin walks at an average pace of 1/2 hour per mile. To find the total time it would take him to walk 6 miles, we multiply the average time per mile (1/2 hour) by the distance (6 miles). 1/2 hour per mile multiplied by 6 miles equals 3 hours. Therefore, it is reasonable to expect that it would take Kevin 3 hours to walk to the movies which are 6 miles away.

Explanation

Kevin walks at an average pace of 1/2 hour per mile. To find the total time it would take him to walk 6 miles, we multiply the average time per mile (1/2 hour) by the distance (6 miles). 1/2 hour per mile multiplied by 6 miles equals 3 hours. Therefore, it is reasonable to expect that it would take Kevin 3 hours to walk to the movies which are 6 miles away.

4. X = 10 apples y = 5 oranges Using the data below, figure out how many oranges and apples were picked by Kevin and Jenny combined. Kevin picked x x x x x apples and y y y y oranges. Jenny picked x x x apples and y oranges.

80 apples and 25 oranges

50 apples and 20 oranges

30 apples and 5 oranges

None of the above.

Based on the given data, Kevin picked x apples and y oranges. Jenny picked x apples and y oranges. To figure out the total number of apples and oranges picked by Kevin and Jenny combined, we can substitute the values of x and y with the given numbers. The number of apples picked by Kevin is 10, and the number of oranges picked by Kevin is 5. The number of apples picked by Jenny is 10, and the number of oranges picked by Jenny is 5. Adding these numbers together, we get a total of 80 apples and 25 oranges.

Explanation

Based on the given data, Kevin picked x apples and y oranges. Jenny picked x apples and y oranges. To figure out the total number of apples and oranges picked by Kevin and Jenny combined, we can substitute the values of x and y with the given numbers. The number of apples picked by Kevin is 10, and the number of oranges picked by Kevin is 5. The number of apples picked by Jenny is 10, and the number of oranges picked by Jenny is 5. Adding these numbers together, we get a total of 80 apples and 25 oranges.

5. There are 9 classes of students with 37 students in each class along with 1 teacher for each class. Which of the following operations would you do to find out how many students and teachers were in the gym?

(9*37) + 1

(9*37) + 37

(9*37) + 9(1)

(9*9) + 37

To find out how many students and teachers were in the gym, we need to calculate the total number of students and teachers in all 9 classes. Since there are 37 students in each class, multiplying 37 by 9 gives us the total number of students. Additionally, there is 1 teacher for each class, so multiplying 9 by 1 gives us the total number of teachers. Adding these two values together gives us the total number of students and teachers in the gym. Therefore, the correct operation to use is (9*37) + 9(1).

Explanation

To find out how many students and teachers were in the gym, we need to calculate the total number of students and teachers in all 9 classes. Since there are 37 students in each class, multiplying 37 by 9 gives us the total number of students. Additionally, there is 1 teacher for each class, so multiplying 9 by 1 gives us the total number of teachers. Adding these two values together gives us the total number of students and teachers in the gym. Therefore, the correct operation to use is (9*37) + 9(1).

6. The Greatest Common factor is the greatest factor that divides two numbers. What is the greatest common factor of 18 and 36?

2

6

9

18

The greatest common factor of 18 and 36 is 18 because it is the largest number that can evenly divide both 18 and 36.

Explanation

The greatest common factor of 18 and 36 is 18 because it is the largest number that can evenly divide both 18 and 36.

7. Which of the following groups contains equivalent values expressed in the various forms?

0.75, 70%, 3/4

0.15, 15%, 3/20

0.166, 16%, 1/6

0.50, 50%, 1/5

The group that contains equivalent values expressed in the various forms is 0.15, 15%, 3/20. All three values represent the same amount, which is fifteen hundredths or three twentieths.

Explanation

The group that contains equivalent values expressed in the various forms is 0.15, 15%, 3/20. All three values represent the same amount, which is fifteen hundredths or three twentieths.

8. A car drove 3.5 hours and travelled a total of 242 miles. How fast was the car going, how many MPH(miles per hour) was the car going?

63 MPH

65 MPH

67 MPH

69 MPH

The car traveled a total of 242 miles in 3.5 hours. To find the speed, we divide the distance by the time. 242 miles divided by 3.5 hours equals approximately 69 miles per hour.

Explanation

The car traveled a total of 242 miles in 3.5 hours. To find the speed, we divide the distance by the time. 242 miles divided by 3.5 hours equals approximately 69 miles per hour.

9. John is making 40 pies and he needs 1.5 cups of flour for each pie. If he buys a bags of flour with 10 cups of flour in each bag. How many bags total will he need to make the 40 pies?

4 bags

5 bags

6 bags

7 bags

John needs 1.5 cups of flour for each pie and he is making 40 pies. Therefore, he will need a total of 1.5 x 40 = 60 cups of flour. Since there are 10 cups of flour in each bag, John will need 60/10 = 6 bags of flour to make the 40 pies.

Explanation

John needs 1.5 cups of flour for each pie and he is making 40 pies. Therefore, he will need a total of 1.5 x 40 = 60 cups of flour. Since there are 10 cups of flour in each bag, John will need 60/10 = 6 bags of flour to make the 40 pies.

10. Order the following four numbers in order from greatest to smallest. 1/2 0.55 56% 0.15

1/2> 0.55> 56%> 0.15

0.15< 1/2< 0.55< 56%

56%> 0.55> 1/2> 0.15

None of the above.

The correct order from greatest to smallest is 56% > 0.55 > 1/2 > 0.15. This is because 56% is the largest percentage, followed by 0.55 which is a decimal number, then 1/2 which is a fraction, and finally 0.15 which is the smallest decimal number.

Explanation

The correct order from greatest to smallest is 56% > 0.55 > 1/2 > 0.15. This is because 56% is the largest percentage, followed by 0.55 which is a decimal number, then 1/2 which is a fraction, and finally 0.15 which is the smallest decimal number.