Order of Operations BODMAS Competitive Exams
50 questions · Mathematics
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Question 1 of 50
Simplify: 3/4 ÷ 3/8 × 2
ExplanationLeft to right: 3/4 ÷ 3/8 = 3/4 × 8/3 = 2. Then 2 × 2 = 4.
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Question 2 of 50
In PEMDAS, which letter corresponds to 'Orders' in BODMAS?
ExplanationBODMAS and PEMDAS are the same rule. P = Brackets, E = Orders, MD = Division and Multiplication, AS = Addition and Subtraction.
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Question 3 of 50
Simplify: 100 ÷ 5 ÷ 2
ExplanationWork left to right: 100 ÷ 5 = 20, then 20 ÷ 2 = 10.
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Question 4 of 50
Simplify: 0.5 + 0.25 × 4
ExplanationMultiply first: 0.25 × 4 = 1. Then 0.5 + 1 = 1.5.
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Question 5 of 50
Simplify: 3 + 2² × 5 − 1
Explanation2² = 4, 4 × 5 = 20. Then 3 + 20 − 1 = 22.
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Question 6 of 50
Simplify: 15 ÷ 3 + 2 × 4
Explanation15 ÷ 3 = 5 and 2 × 4 = 8. Then 5 + 8 = 13.
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Question 7 of 50
In 5 + 3 × 2², which step is done first?
ExplanationOrders come before multiplication and addition. 2² = 4, then 3 × 4 = 12, then 5 + 12 = 17.
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Question 8 of 50
Simplify: [(18 − 6) × 3] ÷ (2 + 4)
Explanation(18 − 6) = 12, × 3 = 36. (2 + 4) = 6. Then 36 ÷ 6 = 6.
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Question 9 of 50
Simplify: 48 ÷ 12 × 2 + 3 − 1
Explanation48 ÷ 12 = 4, 4 × 2 = 8. Then 8 + 3 − 1 = 10.
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Question 10 of 50
Simplify: 36 ÷ [6 + (4 × 3)] × 2
Explanation(4 × 3) = 12. Square bracket: 6 + 12 = 18. Then 36 ÷ 18 × 2 = 2 × 2 = 4.
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Question 11 of 50
Simplify: 40 − [10 + (6 − 2)]
ExplanationInnermost bracket: 4. Square bracket: 10 + 4 = 14. Then 40 − 14 = 26.
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Question 12 of 50
Where must brackets be placed in 8 + 2 × 5 − 3 to make its value 47?
Explanation(8 + 2) × 5 − 3 = 50 − 3 = 47. The other placements give 15, 12 and 15.
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Question 13 of 50
Simplify: 24 ÷ (6 − 2) × 3
ExplanationBracket: 4. Then 24 ÷ 4 × 3 = 6 × 3 = 18.
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Question 14 of 50
Simplify: 10² ÷ 5² + 2³
Explanation10² = 100, 5² = 25, 2³ = 8. Then 100 ÷ 25 + 8 = 4 + 8 = 12.
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Question 15 of 50
Find the missing number: (__ − 4) × 3 = 18.
Explanation(__ − 4) = 18 ÷ 3 = 6, so the missing number is 10.
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Question 16 of 50
Simplify: √(16 + 9) × 2
ExplanationThe root covers the whole bracket: √25 = 5. Then 5 × 2 = 10.
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Question 17 of 50
Simplify: 1/2 + 1/3 × 3/4
ExplanationMultiply first: 1/3 × 3/4 = 1/4. Then 1/2 + 1/4 = 3/4.
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Question 18 of 50
Which of the following expressions equals 20?
Explanation4 + 4 × 4 = 4 + 16 = 20. The others equal 32, 12 and 4.
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Question 19 of 50
Simplify: (3 + 2)² − 3²
ExplanationBracket: 5. Then 5² − 3² = 25 − 9 = 16.
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Question 20 of 50
Simplify: 2³ + 4² ÷ 2
ExplanationOrders first: 2³ = 8 and 4² = 16. Then 16 ÷ 2 = 8, and 8 + 8 = 16.
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Question 21 of 50
Simplify: 5 × (12 − 4) ÷ 2
ExplanationBracket: 8. Then 5 × 8 ÷ 2 = 40 ÷ 2 = 20.
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Question 22 of 50
Simplify: 2.4 ÷ 0.6 + 1.5 × 2
Explanation2.4 ÷ 0.6 = 4 and 1.5 × 2 = 3. Then 4 + 3 = 7.
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Question 23 of 50
BODMAS stands for:
ExplanationThe rule gives the order in which operations are carried out in a mathematical expression.
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Question 24 of 50
Simplify: 5 + √49 × 2 − 3²
Explanation√49 = 7, 7 × 2 = 14, 3² = 9. Then 5 + 14 − 9 = 10.
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Question 25 of 50
Simplify: 0.3 × 0.3 + 0.7
Explanation0.3 × 0.3 = 0.09. Then 0.09 + 0.7 = 0.79.
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Question 26 of 50
Simplify: 6² ÷ 3 × 2
Explanation6² = 36. Then 36 ÷ 3 × 2 = 12 × 2 = 24.
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Question 27 of 50
Simplify: 5² − 3² × 2
Explanation25 − (9 × 2) = 25 − 18 = 7.
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Question 28 of 50
Simplify: √81 + 3 × 4
Explanation√81 = 9 and 3 × 4 = 12. Then 9 + 12 = 21.
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Question 29 of 50
Simplify: 45 − [28 − {37 − (15 − 19)}]
Explanation(15 − 19) = −4. {37 − (−4)} = 41. [28 − 41] = −13. Then 45 − (−13) = 58.
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Question 30 of 50
Simplify: 50 − 10 × 2 + 5
Explanation10 × 2 = 20. Then 50 − 20 + 5 = 35.
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Question 31 of 50
Find the missing number: 48 ÷ __ + 5 = 17.
Explanation48 ÷ __ = 17 − 5 = 12, so the missing number is 48 ÷ 12 = 4.
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Question 32 of 50
Simplify: 3 + 4 × 5 − 6 ÷ 2
Explanation4 × 5 = 20 and 6 ÷ 2 = 3. Then 3 + 20 − 3 = 20.
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Question 33 of 50
Simplify: 3 × [20 − (8 − 2) × 2]
Explanation(8 − 2) = 6, then 6 × 2 = 12. Square bracket: 20 − 12 = 8. Then 3 × 8 = 24.
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Question 34 of 50
Simplify: −3² + 5
ExplanationThe power applies only to 3, so −3² = −9. Then −9 + 5 = −4. (By contrast (−3)² = +9.)
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Question 35 of 50
Simplify: 18 ÷ 6 × 3
ExplanationDivision and multiplication have equal priority, so work left to right: 18 ÷ 6 = 3, then 3 × 3 = 9.
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Question 36 of 50
Simplify: 1/4 of 80 + 2/5 of 50
Explanation"Of" means multiplication and is done before addition: 20 + 20 = 40.
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Question 37 of 50
Simplify: 6 + 6 ÷ 6 × 6 − 6
Explanation6 ÷ 6 = 1, then 1 × 6 = 6. Then 6 + 6 − 6 = 6.
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Question 38 of 50
Simplify: 9/10 ÷ 3/5 − 1/2
Explanation9/10 ÷ 3/5 = 9/10 × 5/3 = 3/2. Then 3/2 − 1/2 = 1.
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Question 39 of 50
Simplify: 5 − 1/2 × 4 + 3/2
Explanation1/2 × 4 = 2. Then 5 − 2 + 3/2 = 3 + 3/2 = 9/2.
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Question 40 of 50
Simplify: 8 + 12 ÷ 4 × 3
ExplanationDivision and multiplication first (left to right): 12 ÷ 4 = 3, 3 × 3 = 9. Then 8 + 9 = 17.
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Question 41 of 50
Simplify: 6 ÷ 2 × (1 + 2)
ExplanationBracket: 3. Then 6 ÷ 2 × 3 = 3 × 3 = 9 (left to right).
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Question 42 of 50
Simplify: (1/2 + 1/3) ÷ 5/6
ExplanationBracket: 1/2 + 1/3 = 5/6. Then 5/6 ÷ 5/6 = 1.
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Question 43 of 50
Simplify: 7.5 − 2.5 × 2 + 1.25
Explanation2.5 × 2 = 5. Then 7.5 − 5 + 1.25 = 3.75.
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Question 44 of 50
Simplify: 7 × 8 − 6 × 5
ExplanationBoth products first: 56 − 30 = 26.
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Question 45 of 50
Simplify: 100 − {20 + (30 − 10)}
Explanation(30 − 10) = 20. Curly bracket: 20 + 20 = 40. Then 100 − 40 = 60.
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Question 46 of 50
In BODMAS, the letter 'O' stands for:
ExplanationOrders means powers (indices) and roots, which are done after brackets.
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Question 47 of 50
Simplify: 20 − 4 × 3 + 2
ExplanationMultiply first: 4 × 3 = 12. Then 20 − 12 + 2 = 10.
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Question 48 of 50
Find the missing number: 12 + 3 × __ = 27.
Explanation3 × __ = 27 − 12 = 15, so the missing number is 5.
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Question 49 of 50
Simplify: 2 + [3 × {4 + (5 − 1)}]
Explanation(5 − 1) = 4. Curly bracket: 4 + 4 = 8. Square bracket: 3 × 8 = 24. Then 2 + 24 = 26.
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Question 50 of 50
Simplify: (8 + 12) ÷ 4 × 3
ExplanationBrackets first: 20. Then 20 ÷ 4 × 3 = 5 × 3 = 15.
0 / 50 answered · 0 skipped
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