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Simplification & Approximation · Question 9 of 71

Question 9

MediumOriginal question

Simplify 48÷[16−{3×(7−5)+2}]48 \div [16 - \{3 \times (7 - 5) + 2\}].

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Round bracket: 7−5=27 - 5 = 2.

  2. Curly bracket: 3×2+2=83 \times 2 + 2 = 8.

  3. Square bracket: 16−8=816 - 8 = 8.

  4. Finally 48÷8=648 \div 8 = 6.

Worth noting

Reading the curly bracket as 3×(2+2)=123 \times (2 + 2) = 12 leaves 16−12=416 - 12 = 4 and a final answer of 12. Inside every bracket, BODMAS still applies.

Concept
Removing (), then {}, then [] in order
Typical time
60 s
Your time
—
The rule this testsOrder of operations (BODMAS)
Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.