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Nested brackets ( ), { }, [ ]: remove from the innermost out

This type of question, asked 17 times: 17 Jul 2023 S1, 19 Jul 2023 S2, 20 Jul 2023 S3, 20 Jul 2023 S4, 21 Jul 2023 S1, 21 Jul 2023 S2, 24 Jul 2023 S1, 24 Jul 2023 S3, 24 Jul 2023 S4, 25 Jul 2023 S4, 26 Jul 2023 S2, 26 Jul 2023 S4, 9 Sep 2024 S3, 10 Sep 2024 S2, 12 Sep 2024 S1, 23 Sep 2024 S1, 12 Sep 2025 S1. All 19 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S1

    51
    Simplify 2.5×[144÷198×{121×81÷(11×9)}]2.5 \times [144 \div 198 \times \{121 \times 81 \div (11 \times 9)\}]

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  2. Question 2

    17 Jul 2023 S1

    59
    Simplify the given expression. y+2x−[ (y−(y−x+y)−(x+y)+y]−2y.y + 2x - [\ (y - (y - x + y) - (x + y) + y] - 2y.

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  3. Question 3

    19 Jul 2023 S2

    60
    Simplify the following expression: (12+5−4816+71)+(7236+6×711)×[(51+4−13)+(13−12×7)]232\frac{\left(12+5-\frac{48}{16}+71\right)+\left(\frac{\frac{72}{36}+6\times7}{11}\right)\times[(51+4-13)+(13-12\times7)]}{232}

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  4. Question 4

    20 Jul 2023 S3

    70
    Simplify. 325+276÷[150−{9×9+(83−4×15)}]325 + 276 \div [150 - \{9 \times 9 + (83 - 4 \times 15)\}]

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  5. Question 5

    20 Jul 2023 S4

    62
    Simplify: [0.08 - {3.5 - 4.9 - (12.5 - 7.8 - 4.6)}]

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  6. Question 6

    21 Jul 2023 S1

    69
    Solve the following expression. 50−[20+(30−(25−5)]50 - [20 + (30 - (25 - 5)]

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  7. Question 7

    21 Jul 2023 S1

    59
    Find the value of the given expression: 10÷5×1+3−[8−{5−(7−7−9)}]10 \div 5 \times 1 + 3 - [8 - \{5 - (7 - 7 - 9)\}]

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  8. Question 8

    21 Jul 2023 S2

    52
    Simplify: 264−[142−{75+(38−(54+114))}]264 - [142 - \{75 + (38 - (\frac{5}{4} + \frac{11}{4}))\}]

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  9. Question 9

    24 Jul 2023 S1

    68
    Solve the following. 22−[9−{6−(10−4+3)}]÷2×322 - [9 - \{6 - (10 - 4 + 3)\}] \div 2 \times 3

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  10. Question 10

    24 Jul 2023 S3

    68
    Simplify the given expression. 15−(−5)×{4−(7−3)}÷[3×{5+(−3)×(−6)}]15 - (-5) \times \{4 - (7 - 3)\} \div [3 \times \{5 + (-3) \times (-6)\}]

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  11. Question 11

    24 Jul 2023 S4

    61
    Simplify: 220+80÷[63−{7×8+(13−2×4)}]220 + 80 \div [63 - \{7 \times 8 + (13 - 2 \times 4)\}]

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  12. Question 12

    25 Jul 2023 S4

    71
    −7p−[3q−{8p−(4q−10p)}]=?- 7p - [3q - \{8p - (4q - 10p)\}] = ?

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  13. Question 13

    26 Jul 2023 S2

    74
    What is the value of 6−(6÷2−3+7−2)×[{3−2÷2}×5−6]6 - (6 \div 2 - 3 + 7 - 2) \times [\{3 - 2 \div 2\} \times 5 - 6]?

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  14. Question 14

    26 Jul 2023 S4

    52
    Find the value of the given expression 14÷7×1+3−[18−{15−(7−7−2)}]14 \div 7 \times 1 + 3 - [18 - \{15 - (7 - 7 - 2)\}]

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  15. Question 15

    9 Sep 2024 S3

    66
    Simplify: 13−[7−(4+7)−{7−(7−4+7)}+14]13 - [7 - (4 + 7) - \{7 - (7 - 4 + 7)\} + 14]

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  16. Question 16

    10 Sep 2024 S2

    75
    Simplify 21−[6+7−{3.22−(1.1×0.2)}]21 - [6 + 7 - \{3.22 - (1.1 \times 0.2)\}].

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  17. Question 17

    12 Sep 2024 S1

    73
    Simplify 15.5−[3−{7−(5−(14.5−13.5))}]15.5 - [3 - \{7 - (5 - (14.5 - 13.5))\}].

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  18. Question 18

    23 Sep 2024 S1

    57
    Simplify 6×[28÷84×{36×49÷(6×7)}]6 \times [28 \div 84 \times \{36 \times 49 \div (6 \times 7)\}].

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  19. Question 19

    12 Sep 2025 S1

    53
    Evaluate: 714−[56÷{13−(12×(34−14))}]7\frac{1}{4} - \left[\frac{5}{6} \div \left\{\frac{1}{3} - \left(\frac{1}{2} \times \left(\frac{3}{4} - \frac{1}{4}\right)\right)\right\}\right]

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