bodmas homework year 6

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Year 6 bodmas questions worksheet.

A FREE downloadable worksheet, including 14 BODMAS and BIDMAS questions and answers for year 6 pupils. 

• Questions focused specifically on the knowledge about BIDMAS and BODMAS required in year 6
• A mixture of questions that involve reasoning skills as well as fluency, such as explanatory questions and true or false questions.
• The explanatory questions are specifically designed by maths experts to encourage pupils to explain their mathematical thinking.
• In-depth answers provided for marking the worksheet.

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BODMAS (Year 6)

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Make sure children are confident with the order of operations, by testing their learning with this BODMAS worksheet. They will work out different calculations following the order of operations, as well as insert brackets to make the calculations true.

All answers are included.

This resource is also available using BIDMAS — you can find it here .

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Multiplication & Division
• Topic Group: Calculations
• Year(s): Year 6
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 24/10/2023
• Resource Code: M2WFC514
• Curriculum Point(s): Use their knowledge of the order of operations to carry out calculations involving the four operations.

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Order of Operations Worksheets

Order of operations / pemdas worksheets.

Our order of operations worksheets vary in difficulty by varying the number of terms, the included operations and whether parenthesis are included. The worksheets are categorized by grade.  

Topics include:

Grade 3 order of operations worksheets

• Add / subtract with parenthesis: 3-6 terms
• Add / subtract / multiply with no parenthesis
• Add / subtract / multiply with parenthesis: 4-6 terms

Grade 4 order of operations worksheets

• Add / subtract with parenthesis: 5-6 terms
• Add / subtract / multiply with parenthesis: 5-6 terms
• Add / subtract / multiply / divide with parenthesis: 5-6 terms

Grade 5 order of operations / PEMDAS worksheets

• 4 operations with parenthesis
• PEMDAS including exponents
• PEMDAS with exponents and nested parenthesis

Order of operations: drills & practice

• Add & subtract multiple terms with parenthesis
• PEMDAS (4 operations with exponents and parenthesis)

Related topics

Addition worksheets

Multiplication worksheets

Sample Order of Operations Worksheet

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BODMAS Rule Questions

BODMAS rule questions with solutions are provided here for students to practice and understand the precedence of arithmetic operations. BODMAS is an acronym for brackets, order/of, division, multiplication, addition and subtraction. It tells us the order of operations needed to be followed while solving any expression with more than one arithmetic operation .

Sometimes this BODMAS rule is also referred to as the PEMDAS rule (Parenthesis, Exponent, Multiplication, Division, Addition and Subtraction) or BIDMAS rule (Brackets, Index, Division, Multiplication, Addition and Subtraction).

Learn about the tips to remember BODMAS Rule .

Video Lesson on BODMAS Rule

BODMAS Rule Questions with Solutions

Now that we have learnt about the BODMAS rule for the order of arithmetic operations, let us solve a few questions to practice the concept.

Question 1:

Evaluate: 2 + 4 ÷ (22 + 6) × 2.

2 + 4 ÷ (22 + 6) × 2

First, we solve the parentheses, and we get

= 2 + 4 ÷ 28 × 2

Now, perform the division 4/28

= 2 + 1/7 × 2

Now, we do the multiplication 1/7 × 2

= (14 + 2)/7

= 16/7 = 2 2 / 7 .

Question 2:

Evaluate: {15 × 32 ÷ 2 × 5} ÷ 75

Now, {15 × 32 ÷ 2 × 5} ÷ 75 = {15 × (32 ÷ 2) × 5} ÷ 75

= {15 × 16 × 5} ÷ 75

Question 3:

Evaluate: 5 × (2 × 3 4 ) ÷ 6 + 7 – 8

5 × (2 × 3 4 ) ÷ 6 + 7 – 8

= 5 × (2 × 81) ÷ 6 + 7 – 8

= 5 × 162 ÷ 6 + 7 – 8

= 5 × 27 + 7 – 8

= 135 + 7 – 8

= 142 – 8 = 134.

Question 4:

Evaluate: 2 of 5 ÷ 5 + 3

2 of 5 ÷ 5 + 3 = (2 × 5) ÷ 5 + 3

= 10 ÷ 5 + 3

= 2 + 3 = 5.

Question 5:

\(\begin{array}{l}[\left\{\left ( 125 \times \overline{33 \div 11}+ 2 \right ) \times 34\right\}\div 493]\times \frac{1}{2}\end{array} \)

We start by solving the innermost bar bracket

= [{(125 × 3 + 2) × 34} ÷ 493] × ½

= [{(375 + 2) × 34} ÷ 493] × ½

= [{377 × 34} ÷ 493] × ½

= [12818 ÷ 493] × ½

= 26 × ½ = 13.

• Multiplication and Division of Integers
• Multiplication and Division of Decimals
• Multiplication of Fractions
• Division of Fractions

Question 6:

\(\begin{array}{l}\frac{1}{2}\times \frac{2}{3}\div \frac{7}{3}+\frac{1}{2}\end{array} \)

\(\begin{array}{l}=\frac{1}{2}\times \left ( \frac{2}{3}\div \frac{7}{3} \right )+\frac{1}{2}=\frac{1}{2}\times \left ( \frac{2}{3}\times \frac{3}{7} \right )+\frac{1}{2}\end{array} \)

\(\begin{array}{l}=\frac{1}{2}\times \frac{2}{7}+\frac{1}{2}= \frac{1}{7}+\frac{1}{2}= \frac{9}{14}\end{array} \)

Question 7:

Evaluate: [(18 – 6) ÷ 4] + [72 – 12 ÷ 3 of 2]

[(18 – 6) ÷ 4] + [72 – 12 ÷ 3 of 2] = [(18 – 6) ÷ 4] + [72 – 12 ÷ (3 × 2)]

= [12 ÷ 4] + [72 – 12 ÷ 6]

= 3 + [72 – 2] = 3 + 70 = 73.

Question 8:

Evaluate: [15% of 150] + 23 ÷ 115

[15/100 × 150] + 23 ÷ 115

= 22.5 + 23 ÷ 115

= 22.5 + ⅕ = 22.7

Question 9:

Simplify: 12 + 6 × 27 ÷ 3 + 2 – 16 ÷ 8 × 2

12 + 6 × 27 ÷ 3 + 2 – 16 ÷ 8 × 2

= 12 + 6 × 9 + 2 – 2 × 2

= 12 + 54 + 2 – 4

= 68 – 4 = 64.

Question 10:

Evaluate: 0.07 × 0.28 ÷ 0.02 + 0.48 – 2.48 ÷ 0.04

0.07 × 0.28 ÷ 0.02 + 0.48 – 2.48 ÷ 0.04

= 0.07 × 14 + 0.48 – 62

= 0.98 + 0.48 – 62

= 1.46 – 62 = – 60.54.

Practice Questions on BODMAS Rule

1. Evaluate: 8 ÷ 4 × (6 + 2 of 4) + 32 – 2

2. Evaluate: 0.34 ÷ 1.7 + 45 × 2

3. Evaluate: [{(45 + 90 ÷ 3 × 6) × 2} ÷ ½ ] × 56

4. Evaluate: ⅖ + ¾ × ⅘ ÷ 6/5.

5. Evaluate: 45 + 34 ÷ 2 × 82 ÷ 16 × ( – 3).

Keep visiting BYJU’S for to solve more questions related to BODMAS/PEMDAS rule. Download BYJU’S – The Learning App more interesting study resources, video lessons and many more.

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BiDMAS (Worksheets with Solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

28 February 2019

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Love the task cards. Just wasn't up to indices yet.

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Amazing resource with all abilities accounted for. Thank you

These are fantastic. Thank you very much! My Year 4 (top set) adored them- especially the challenges on sheet 4. (There was 1 number missing in your answer sheet 4F1- A2 - the 9 was missed on 69). Amazing resource, thank you again!

Absolutely brilliant for my classes. Thank you so much!

Thank you - these are great

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