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Quizzes > Mathematics > Basic Math & Arithmetic

Master BIDMAS: Take the Quiz and Ace Your Order of Operations

Ready to tackle order of operations questions? Start your BIDMAS practice now!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style math symbols and numbers on a sky blue background, free BIDMAS quiz to test order of operations skills.

This BIDMAS quiz helps you practice the order of operations and spot errors with brackets, indices, division, multiplication, addition, and subtraction. Use it to check gaps before a test and build speed; when you're done, grab some extra order of operations practice or try more PEMDAS problems .

What is 3 + 2 × 5?
13
25
16
10
According to BIDMAS, multiplication is performed before addition: 2 × 5 equals 10, and then 3 + 10 equals 13. .
What is (8 - 3) + 4?
7
10
9
12
Brackets are evaluated first: 8 - 3 equals 5, and then 5 + 4 equals 9. .
What is 6 ÷ 2 + 1?
8
2
1
4
Division comes before addition: 6 ÷ 2 equals 3, then 3 + 1 equals 4. .
What is 2 + 3 × 4 - 5?
7
14
11
9
Perform multiplication first: 3 × 4 equals 12, then 2 + 12 - 5 equals 9. .
What is (6 + 2) × 3?
18
30
24
15
Brackets first: 6 + 2 equals 8, then multiply by 3 giving 24. .
What is 9 - 4 ÷ 2?
7
2
9
5
Division is done before subtraction: 4 ÷ 2 equals 2, then 9 - 2 equals 7. .
What is 5 × (2 + 3)?
10
20
25
15
Brackets are resolved first: 2 + 3 equals 5, then 5 × 5 equals 25. .
What is 8 ÷ (4 - 2)?
6
1
2
4
Calculate inside brackets first: 4 - 2 equals 2, then 8 ÷ 2 equals 4. .
What is 7 + 3^2?
36
10
25
16
Exponents are applied before addition: 3^2 equals 9, then 7 + 9 equals 16. .
What is 2 × 5 + 1?
12
11
7
9
Multiply first: 2 × 5 equals 10, then add 1 to get 11. .
What is (5 - 2)^2?
6
9
15
12
Compute the bracket first: 5 - 2 equals 3, then square it (3^2) to get 9. .
What is 10 - 3 × 2?
2
1
16
4
Perform multiplication before subtraction: 3 × 2 equals 6, then 10 - 6 equals 4. .
What is 4 + 2 - 6 ÷ 3?
2
8
0
4
Division first: 6 ÷ 3 equals 2, then 4 + 2 - 2 equals 4. .
What is 3 + 4 × 2^2?
14
23
11
19
Exponents first: 2^2 equals 4, then multiply: 4 × 4 equals 16, and finally add 3 to get 19. .
What is (5 + 3)^2 ÷ 4?
8
4
32
16
Brackets first: 5 + 3 equals 8, then square: 8^2 equals 64, divided by 4 gives 16. .
What is 12 ÷ (2 + 4) × 3?
9
6
36
4
Inside brackets: 2 + 4 equals 6, then 12 ÷ 6 equals 2, and multiply by 3 equals 6. .
What is 2^3 × (4 - 1)?
24
11
6
16
Compute exponent: 2^3 equals 8, bracket: 4 - 1 equals 3, multiply 8 × 3 equals 24. .
What is (9 - 3) ÷ 2 + 5?
9
11
3
8
Brackets first: 9 - 3 equals 6, then 6 ÷ 2 equals 3, and finally 3 + 5 equals 8. .
What is 4 + (6 - 2) × 3 - 1?
10
15
19
13
Brackets: 6 - 2 equals 4, multiply by 3 gives 12, then 4 + 12 - 1 equals 15. .
What is (2 + 3) × (4 - 2)?
10
12
8
5
First bracket: 2 + 3 equals 5, second: 4 - 2 equals 2, multiply 5 × 2 equals 10. .
What is 20 ÷ 4 × 2 + 3?
13
7
23
8
Division and multiplication are equal precedence, so do left to right: 20 ÷ 4 equals 5, ×2 equals 10, then +3 equals 13. .
What is 3^2 + 4 × 2?
11
14
23
17
Exponents first: 3^2 equals 9, then multiplication: 4 × 2 equals 8, and 9 + 8 equals 17. .
What is 2 + 3 × (4 + 1)?
11
17
13
10
Brackets: 4 + 1 equals 5, multiply: 3 × 5 equals 15, then +2 equals 17. .
What is (8 ÷ 2)^2?
8
32
16
4
Inside brackets: 8 ÷ 2 equals 4, then square: 4^2 equals 16. .
What is 18 - 3^2 ÷ 3?
6
21
15
9
Exponents first: 3^2 equals 9, then division: 9 ÷ 3 equals 3, and subtract from 18 gives 15. .
What is 6 + 2 × 5 - (3 + 1)?
12
18
14
8
Brackets: 3 + 1 equals 4, multiply: 2 × 5 equals 10, then 6 + 10 - 4 equals 12. .
What is 5 + [(2+3) × (4^2 - 6)]?
60
55
45
50
Calculate inside each bracket: 2+3=5 and 4^2-6=10, multiply 5×10 equals 50, then add 5 gives 55. .
What is (3 + 5) × (2^3 - 1) ÷ 7?
14
7
9
8
First bracket: 3+5=8, second: 2^3-1=7, multiply 8×7=56, then divide by 7 to get 8. .
What is 2^3^2 - 5?
509
19
507
59
Exponents are right-associative: 3^2=9, then 2^9=512, subtract 5 to get 507. .
What is 7 - 2 × (3 + 5^2 ÷ (4 - 2))?
24
16
-24
-10
Innermost bracket: 4-2=2, then 5^2÷2=12.5, next (3+12.5)=15.5, multiply 2×15.5=31, 7-31 equals -24. .
What is (4^2 × 3 - 6) ÷ (5 - 3)?
21
42
24
18
First evaluate exponents and multiplication: 4^2×3=48, subtract 6 equals 42, then divide by (5-3)=2 gives 21. .
What is 9 × [2 + (3^2 ÷ 3)]?
45
54
27
36
Inside brackets: 3^2÷3=3, then 2+3=5, multiply by 9 gives 45. .
What is [(6 - 2) × (5 + 3)] ÷ 4?
4
16
8
32
First bracket: 6-2=4 and 5+3=8, multiply 4×8=32, then ÷4 equals 8. .
What is 3^3 + 4 × 2^2?
53
43
35
36
Exponents first: 3^3=27 and 2^2=4, multiplication: 4×4=16, then add to get 27+16=43. .
What is (7 + 3) ÷ (2 × (1 + 1))?
2.5
4
1
5
Inner bracket: 1+1=2, then 2×2=4, numerator 7+3=10, so 10÷4 equals 2.5. .
What is 2 × (3 + (4 - 2)^3)?
22
24
18
20
Innermost bracket: 4-2=2, then exponent: 2^3=8, add 3 gives 11, multiply by 2 equals 22. .
What is [(5 + 1)^2 - (3 × 2)] ÷ 2?
10
15
18
12
Brackets: 5+1=6 squared equals 36, subtract (3×2)=6 gives 30, divide by 2 gives 15. .
What is 8 ÷ 2 × (2 + 2)?
8
16
1
32
Division and multiplication have equal precedence, so calculate left to right: 8÷2=4, then (2+2)=4, multiply 4×4=16. .
What is (2 + 3 × 2)^2?
36
25
64
16
Multiplication first inside bracket: 3×2=6, add 2 gives 8, square 8^2 equals 64. .
What is 2^3^2 ÷ 2^(2+1)?
64
8
512
16
Right-associative exponent: 3^2=9 gives 2^9=512, denominator exponent 2+1=3 gives 2^3=8, divide 512÷8=64. .
What is 5 - 2 × [3 + 4^2 ÷ (1+1)]?
11
17
-3
-17
Brackets: (1+1)=2, then 4^2÷2=8, inner [3+8]=11, multiply 2×11=22, then 5-22 equals -17. .
What is (3^2 × (2 + (4 - 1)^2)) ÷ (5 - 3)?
99
11
49.5
22
Inner bracket: (4-1)=3 squared=9, outer: 2+9=11, multiply by 3^2=9 gives 99, denominator (5-3)=2, divide 99÷2=49.5. .
What is (2 + 3)^2 + 4^2 ÷ 2^2?
41
29
16
21
Brackets: 2+3=5 squared=25, next exponent 4^2=16÷2^2(4)=4, sum 25+4=29. .
What is 2^(1+2) × 3 - 4 ÷ (1+1)^2?
23
24
19
21
Exponent: 1+2=3 gives 2^3=8, times 3 equals 24; bracket (1+1)^2=4, 4÷4=1, subtract from 24 to get 23. .
0
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Study Outcomes

  1. Understand the BIDMAS mnemonic -

    Gain a clear grasp of each step in the BIDMAS order of operations - including brackets, indices, division, multiplication, addition, and subtraction - and why sequence matters.

  2. Apply BIDMAS rules -

    Use the correct order of operations to work through arithmetic expressions accurately and avoid common calculation errors.

  3. Solve order of operations questions -

    Apply BIDMAS rules to confidently work through order of operations questions, from simple to more complex expressions.

  4. Analyze complex expressions -

    Break down advanced arithmetic expressions to identify the correct sequence of operations and ensure precise calculations.

  5. Enhance calculation speed and accuracy -

    Build fluency in arithmetic operations by practicing BIDMAS-based exercises, improving both speed and precision.

  6. Identify areas for further practice -

    Use quiz results to pinpoint strengths and weaknesses in your BIDMAS understanding and focus on targeted BIDMAS practice.

Cheat Sheet

  1. BIDMAS Hierarchy -

    The BIDMAS sequence (Brackets, Indices, Division & Multiplication, Addition & Subtraction) forms the foundation for solving complex expressions, as endorsed by the UK National Curriculum and resources like BBC Bitesize. Remember the mnemonic "BIDMAS" to order your steps correctly. For example, 3 + 2 × (6 − 4)² = 3 + 2 × 2² = 3 + 2 × 4 = 11, a classic bimdas question.

  2. Working with Nested Brackets -

    Always tackle the innermost brackets first, then move outward - this is crucial in BIDMAS practice and order of operations questions. For instance, in 5 + [3 × (2 + 1)] you solve (2 + 1) to get 5 + [3 × 3] = 5 + 9 = 14. Mastering nested brackets reduces errors on arithmetic operations quizzes.

  3. Left-to-Right Rule for Multiplication & Division -

    Multiplication and division share the same precedence, so perform them from left to right. In the expression 16 ÷ 4 × 2, calculate 16 ÷ 4 first (giving 4) then multiply by 2 to get 8. This principle appears frequently in both PEMDAS quizzes and bimdas questions.

  4. Indices before Multiplication -

    Exponents (indices) must be evaluated before multiplication or division, a tip emphasized in Khan Academy's order of operations lessons. For example, 2 × 3² = 2 × 9 = 18, not 36. Practicing this step in an arithmetic operations quiz or PEMDAS quiz cements the concept.

  5. Self-Check & Estimation Tricks -

    After solving an expression, use quick estimation or reverse operations to verify your answer, a strategy recommended by the National Council of Teachers of Mathematics (NCTM). Rounding numbers or performing the inverse operation can catch mistakes - for example, if you got 14 for 5 + 9, subtracting 9 from 14 should return 5. Regularly incorporating this review step boosts accuracy in all bimdas questions.

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