The worksheet focuses on the
Order of Operations, often remembered by the acronym
BODMAS (Brackets, Orders (powers and roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right)). Let's solve each problem step by step.
---
Problem i.
\[
(9 \times 28 - 7) + 4 =
\]
1.
Brackets: Solve the expression inside the brackets first.
\[
9 \times 28 - 7
\]
- Perform multiplication first: \( 9 \times 28 = 252 \).
- Then subtraction: \( 252 - 7 = 245 \).
2.
Addition: Add the result to 4.
\[
245 + 4 = 249
\]
Answer:
\[
\boxed{249}
\]
---
Problem ii.
\[
2 + 3 + (36 \div 9) =
\]
1.
Brackets: Solve the division inside the brackets.
\[
36 \div 9 = 4
\]
2.
Addition: Add all the numbers together.
\[
2 + 3 + 4 = 9
\]
Answer:
\[
\boxed{9}
\]
---
Problem iii.
\[
16 - 8 + (40 - 8) =
\]
1.
Brackets: Solve the expression inside the brackets.
\[
40 - 8 = 32
\]
2.
Subtraction and Addition: Perform the operations from left to right.
\[
16 - 8 = 8
\]
\[
8 + 32 = 40
\]
Answer:
\[
\boxed{40}
\]
---
Problem iv.
\[
(14 - 7 + 7) \times 5 =
\]
1.
Brackets: Solve the expression inside the brackets.
\[
14 - 7 + 7
\]
- Perform subtraction and addition from left to right:
\[
14 - 7 = 7
\]
\[
7 + 7 = 14
\]
2.
Multiplication: Multiply the result by 5.
\[
14 \times 5 = 70
\]
Answer:
\[
\boxed{70}
\]
---
Problem v.
\[
(7 + 6) \times 10 + 10 =
\]
1.
Brackets: Solve the expression inside the brackets.
\[
7 + 6 = 13
\]
2.
Multiplication: Multiply the result by 10.
\[
13 \times 10 = 130
\]
3.
Addition: Add 10 to the result.
\[
130 + 10 = 140
\]
Answer:
\[
\boxed{140}
\]
---
Problem vi.
\[
21 - 7 + (15 \div 5) =
\]
1.
Brackets: Solve the division inside the brackets.
\[
15 \div 5 = 3
\]
2.
Subtraction and Addition: Perform the operations from left to right.
\[
21 - 7 = 14
\]
\[
14 + 3 = 17
\]
Answer:
\[
\boxed{17}
\]
---
Problem vii.
\[
3 + (6 \times 10) + 9 =
\]
1.
Brackets: Solve the multiplication inside the brackets.
\[
6 \times 10 = 60
\]
2.
Addition: Add all the numbers together.
\[
3 + 60 = 63
\]
\[
63 + 9 = 72
\]
Answer:
\[
\boxed{72}
\]
---
Problem viii.
\[
6 \times (5 + 32 - 8) =
\]
1.
Brackets: Solve the expression inside the brackets.
\[
5 + 32 - 8
\]
- Perform addition and subtraction from left to right:
\[
5 + 32 = 37
\]
\[
37 - 8 = 29
\]
2.
Multiplication: Multiply the result by 6.
\[
6 \times 29 = 174
\]
Answer:
\[
\boxed{174}
\]
---
Final Answers
\[
\boxed{249, 9, 40, 70, 140, 17, 72, 174}
\]
Parent Tip: Review the logic above to help your child master the concept of order of operations 6th grade math worksheet.
