MDAS Quiz with Solution

The order of operations namely multiplication, division, addition or subtraction or more popularly known as MDAS or PEMDAS is one of the most basic concepts in mathematics and yet many people are totally confused about it. Here is a 15-item quiz with solution to further your understanding about MDAS. Note that the rules are

1.) perform the operation inside the parenthesis
2.) perform the operation with exponent
3.) perform multiplication and division first before performing addition and subtraction
4.) if multiplication and division are adjacent operations, perform from left to right
5.) if addition and subtraction are adjacent operations, perform from left to right

Take note of rule 2 and 3 because this is the most common misconceptions of many. Many believes that since in MD, multiplication should be done first since M is before D.

MDAS Quiz

1. 5 \times 3 + 2

a.) 17
b.) 25

Solution and Answer
b. 17.

Multiply 5 and 3 first, this gives us 15, and then add 2.

2.8 + 4 \times 3

a.) 36
b.) 20

Solution and Answer
b. 20.

Multiply 4 and 3 first before adding to 8.

3.) 3 \times 2 + 4 \times 5

a.) 21
b.) 26
c.) 50
d.) 90

Solution and Answer
b. 26.

Perform the two multiplications first before performing addition. That is

3 \times 2 + 4 \times 3 = 6 + 20 = 26.

4.) 2 + 4 \times 8 + 7

a.) 41
b.) 55
c.) 71
d.) 90

Solution and Answer
a. 41

Multiply 4 and 8 before adding 7 and 2 .

5.) 12 \div 4 - 3
a.) 0
b.) 12

Solution and Answer
a. 0

Perform division before subtraction.

6.) 5 \times (3 + 2)

a.) 17
b.) 25

Solution and Answer
b. 25

This is the same as number 1. This time, since there is a parenthesis, you should perform the operation inside the parenthesis first. So, you add 3 and 2 first, then multiply to 5.

7.) 3 \times (2 + 4) \times 5

a.) 21
b.) 26
c.) 50
d.) 90

Solution and Answer
d. 90

Perform the operation inside the parenthesis before anything else. So, add first 2 and 4. Then, multiply everything which gives 90.

8.) 3 + (9 \div 3) \times 6 - 4

a.) 8
b.) 17
c.) 20
d.) 42

Solution and Answer
b. 17

1.) Perform the operation inside the parenthesis first. That is,

3 + (9 \div 3) \times 6 - 4 = 3 + 3 \times 6 - 4

2.) Perform multiplication before addition and subtraction.

3 + 3 \times 6 - 4 = 3 + 18 - 4

3.) Only addition and subtraction is left, perform the operation from left to right.

3 + 18 - 4 = 17

9.) 6 \div 2(1+2)

a.) 1
b.) 9

Solution and Answer
b. 9

Solution:

This one is very tricky.

First, perform the operation inside the parenthesis. This gives us 6 \div 2 \times 3.

Second, by Rule 4, if multiplication and division are adjacent to each other, you should perform whichever comes first. This time, division should be performed before multiplication. That is

6 \div 2 \times 3 = 3 \times 3 = 9

10.) What is 4 + (3^2 - 6 \times 5) \div 3?

Solution and Answer
Answer: -3

Solution

1.) Perform the operations inside the parenthesis first. Inside the parenthesis, we have exponentation, subtraction, and multiplication. We do the exponentiation first as stated in the rules above.

4 + (3^2 - 6 \times 5) \div 3 = 4 + (9 - 6 \times 5) \div 3

2.) Still, we have to simplify what is inside the parenthesis. We perform Multiplication first and then subtraction.

4 + (9 - 6 \times 5) \div 3 = 4 + (9 - 30) \div 3 = 4 + (-21) \div 3

3.) Next, we perform division before addition. That is,

4 + (-21) \div 3 = 4 + -7 = -3

.

Did you get it all right? For quizzes, go to the Practice Test page.

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4 Responses

  1. UKNOWN says:

    Wow i learn many about this link i am so happy because my exam is later thank you 🙂

  2. JackP () T says:

    How did you come up with the first solution for number 10? Where did the x3 come from?

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