BODMAS RULE WORKSHEET

1)  1800 ÷ 10{(12 - 6) + (24 - 12)}

2)  1/2[{-2(1 + 2)10}15] × 3

3)  20 - [6 - {4 - (8 - 6 + 3)}]

4)  According to the BODMAS rule, find out the value of y

36 ÷ 2 + y × 3 - 22 = 8

5)  Determine the correct answer for -(1/4 + 7/4) - 2

6)  45 × 3 × 7 × [22/11 + 36/12]

7)  Solve this question using the BODMAS rule

2[2 + 2{39 - 2(17 + 2)}]

8)  Solve this BODMAS question 

(17 × 18) ÷ 10 × 2(2 + 13) - 25

9)   Solve this BODMAS question 

(3 + 3) × (3 ÷ 3) × (3 × 3)

10)  2550 - [510{270 - (90 - 80 + 70)}]

11) Before a show, there are 8 people in a theater. Five groups of 4 people enter, and then three groups of 2 people leave. Evaluate the expression 8 + 5(4) − 3(2) to fi nd how many people are in the theater.

12)  The front door of a house is painted white and blue. Each window is a square with a side length of 7 inches. What is the area of the door that is painted blue?

13)  You buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. After using a $10 gift card, how much do you owe? Explain how you solved the problem.

14)  What is the value of the expression 𝟐^𝟑 x 𝟑 − 𝟒 + 𝟏?

a) 𝟏𝟓      b) 𝟐𝟓      c) 𝟐𝟏      d) 𝟐𝟒

15)  What is the value of the expression

𝟏𝟓𝟎 ∗ 𝟑 − 𝟒 + (𝟐^𝟑 ∗ 𝟑 − 𝟖^𝟐)^𝟐

a) 𝟒𝟕𝟏      b) 𝟓𝟓𝟒      c) 𝟒𝟓𝟗      d) 𝟐𝟒𝟎

Answers

1)  

2)

3)

4)

36 ÷ 2 + y × 3 - 22 = 8

18 + y × 3 - 22 = 8

18 + 3y - 22 = 8

3y - 4 = 8

3y = 8 + 4

3y = 12

y = 4

5)

= - (1/4 + 7/4) - 2

= - (8/4) - 2

= - 2 - 2

= - 4

6)

7)

8)

9)

10)

11) By evaluating the expression 8 + 5(4) − 3(2), we find the number of people in the theater.

= 8 + 5(4) - 3(2)

= 8 + 20 - 6

= 28 - 6

= 22

So, the number of people in the theater is 22.

12)

Area of the door to be painted blue = 3(Area of square whose side length is 16 inches - area of square whse side lenght is 7 inches)

= 3(16² - 7²)

= 3(256 - 49)

= 3 (207)

= 621 square inches

So, the area of the square coloured in blue is 621 square inches.

13)  

Number of notebooks = 6 cost $2 each

Number of folders = 10 cost $1 each

Number of pack of pencils = 1 cost of $1 each

Number of lunch box = 1 cost of $8 each

Worth of gift card = $10

Total worth = 6(2) + 10(1) + 1(1) + 1(8)

= 12 + 10 + 1 + 8

= 31

After using gift card, the amount to be owe = 31 - 10

= $21

So, the required amount to be owe is $21.

14) Evaluating the expression,

= 𝟐^𝟑 x 𝟑 − 𝟒 + 𝟏

= 8 x 3 - 4 + 1

= 24 - 4 + 1

= 25 - 4

= 21

So, option c is correct.

15)  Evaluating the expression,

𝟏𝟓𝟎 ∗ 𝟑 − 𝟒 + (𝟐3 ∗ 𝟑 − 𝟖^𝟐)^𝟐

= 450 - 4 + (69 - 64)^𝟐

= 450 - 4 + 5^𝟐

= 450 - 4 + 25

= 475 - 4

= 471

So, option a is correct.