WORK SHEET ON FOUR FUNDAMENTAL OPERATIONS

Problem 1 :

Evaluate :

7 + 3 x 4

Problem 2 :

Evaluate :

(6 + 9) x 5

Problem 3 :

Evaluate :

5² - 12 ÷ 4

Problem 4 :

Evaluate :

12 ÷ 4 x 5

Problem 5 :

Write a numerical expression for the following phrase and evaluate.

"The sum of 5 times 7 and 8"

Problem 6 :

Write a numerical expression for the following phrase and evaluate.

"2 times the sum of 7 times 3 and 4"

Problem 7 :

Write a numerical expression for the following phrase and evaluate.

"60 is multiplied by 3, the result is divided by 15 and 25 is added to the final answer"

Problem 8 :

A box of crayons contains 50 crayons, a box of pencils contains 60 pencils. Alex bought half of a box of crayons and one-third of a box of pencils. If The price of each crayon is $3 and each pencil is $2, find the amount of money paid by Alex.

Problem 9 :

Find the sum :

5 + 5 + 5 + ........ to 87 terms

Problem 10 :

Distance between the two places A and B is 75 miles and that of between B and C is 80 miles. If D is half way between B and C, find the distance between A and C. 

Problem 11 :

Daniel has to type at least 40 words per minute to be eligible for a typist job. Now, Daniel types 20 words per minute, but through practice he can increase his speed by 3 words per minute each week. Find the number of words per minute that Daniel can type in the next 28 days.

Problem 12 :

A taxi driver charges a flat rate of $12 and $2 per mile. Kin travels from Irving to Dallas. If the driving distance from Irving to Dallas is 19 miles, find the amount money Kin has to pay for his travel in the taxi.

1. Answer :

= 7 + 3 x 4

In the numerical expression above, we have two operations : addition and multiplication. According to PEMDAS Rule, we have to do multiplication first, then addition.

= 7 + 12

= 19

2. Answer :

= (6 + 9) x 5

According to PEMDAS Rule, we have to do the operation inside the parentheses first.

= 15 x 5

= 75

3. Answer :

= 5² - 12 ÷ 4

In the given numerical  expression, we have more than two operations. Using PEMDAS Rule, we can carry out the operations one by one as shown below and evaluate.

4. Answer :

= 12 ÷ 4 x 5

According to PEMDAS Rule, we have to do multiplication first, then division. Always multiplication can not be expected before division. Do one by one in the order from left to right.

= 12 ÷ 4 x 5

= 3 x 5

= 15

5. Answer :

"The sum of 5 times 7 and 8"

= 5x7 + 8

Using PEMDAS Rule,

= 35 + 8

= 43

6. Answer :

"2 times the sum of 7 times 3 and 4"

= 2[7(3) + 4]

Using PEMDAS Rule,

= 2[21 + 4]

= 2 x 25

= 50

7. Answer :

"60 is multiplied by 3, the result is divided by 15 and 25 is added to the final answer"

= [(60 x 3)/15] + 25

Using PEMDAS Rule,

= [180/15] + 25

= 12 + 25

= 37

8. Answer :

A box of crayons contains 50 crayons.

Number of crayons in half a box :

= (1/2) x 50

= 25

A box of pencils contains 60 pencils.

Number of pencils in half a box :

= (1/3) x 60

= 20

Amount of money has to be paid :

= 25x3 + 20x2

= 75 + 40

= $115

9. Answer :

= 5 + 5 + 5 + ........ to 87 terms

In the series above, each term is a multiple of 5. So, we can factor 5 out.

= 5(1 + 1 + 1 + ........ to 87 terms)

The sum of 87 ones is equal to 87.

= 5(87)

= 435

10. Answer :

Distance between A and C :

= AB + BC

= AB + (1/2)(BD)

Substitute AB = 75 and BD = 80.

= 75 + (1/2)(80)

= 75 + 40

= 115 miles

11. Answer :

Number of days in a week is 7

Number of weeks in 28 days :

= 28/7

= 4

Number of words per minute that Daniel can type in the 28 days (4 weeks) :

= 20 + 4x3

= 20 + 12 

= 32

12. Answer :

Amount has to be paid by Kin to travel from Irving to Dallas :

= 12 + 19x2

= 12 + 38

= $50

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