PYQ Vault

Signs stand for other signs (+ means -, etc.): evaluate the expression

This type of question, asked 30 times: 14 Jul 2023 S3, 17 Jul 2023 S2, 18 Jul 2023 S2, 20 Jul 2023 S3, 20 Jul 2023 S4, 24 Jul 2023 S1, 26 Jul 2023 S4, 27 Jul 2023 S1, 13 Sep 2024 S2, 12 Sep 2025 S3, 13 Sep 2025 S2, 13 Sep 2025 S3, 14 Sep 2025 S1, 14 Sep 2025 S2, 15 Sep 2025 S1, 15 Sep 2025 S2, 15 Sep 2025 S3, 16 Sep 2025 S1, 16 Sep 2025 S2, 16 Sep 2025 S3, 17 Sep 2025 S1, 17 Sep 2025 S3, 18 Sep 2025 S1, 18 Sep 2025 S3, 19 Sep 2025 S1, 19 Sep 2025 S2, 19 Sep 2025 S3, 20 Sep 2025 S1, 22 Sep 2025 S3, 24 Sep 2025 S2. All 37 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S3

    20
    If ‘+’ means ‘subtraction’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘division’, then what is the value of the following expression? 11−14+9×3÷10411 - 14 + 9 \times 3 \div 104

    Tap an option to check your answer.

  2. Question 2

    17 Jul 2023 S2

    12
    If ‘++’ means ‘division’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘subtraction’, then what is the value of the following expression? 14−4÷133+7×1714 - 4 \div 133 + 7 \times 17

    Tap an option to check your answer.

  3. Question 3

    18 Jul 2023 S2

    12
    If ‘+’ means ‘subtraction’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘division’, then what is the value of the following expression? 3−21+153×17÷263 - 21 + 153 \times 17 \div 26

    Tap an option to check your answer.

  4. Question 4

    20 Jul 2023 S3

    3
    If ‘++’ means ‘subtraction’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘division’, then what is the value of the following expression? 23−31+135×15÷1623 - 31 + 135 \times 15 \div 16

    Tap an option to check your answer.

  5. Question 5

    20 Jul 2023 S4

    6
    If ‘+’ means ‘multiplication’, ‘−-’ means ‘division’, ‘×\times’ means ‘subtraction’ and ‘÷\div’ means ‘addition’, then what is the value of the following expression? 26+342−19×73÷1426 + 342 - 19 \times 73 \div 14

    Tap an option to check your answer.

  6. Question 6

    24 Jul 2023 S1

    5
    If ‘++’ means ‘subtraction’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘division’, then what is the value of the following expression? 14−19+240×16÷6114 - 19 + 240 \times 16 \div 61

    Tap an option to check your answer.

  7. Question 7

    26 Jul 2023 S4

    4
    If ‘+’ means ‘subtraction’, ‘−’ means ‘multiplication’, ‘÷\div’ means ‘addition’ and ‘×\times’ means ‘division’, then what is the value of the following expression? 26−13+144×18÷8126 - 13 + 144 \times 18 \div 81

    Tap an option to check your answer.

  8. Question 8

    27 Jul 2023 S1

    24
    If ‘++’ means ‘division’, ‘−-’ means ‘multiplication’, ‘÷\div’ means ‘subtraction’ and ‘×\times’ means ‘addition’, then what is the value of the following expression? 805+23÷4−6×2805 + 23 \div 4 - 6 \times 2

    Tap an option to check your answer.

  9. Question 9

    13 Sep 2024 S2

    17
    What will come in place of the question mark (?) in the following equation, if '×\times' is replaced by '÷\div', '÷\div' is replaced by '+', '+' is replaced by '×\times' and '−' remains unchanged? 42×3÷4+9−17=?42 \times 3 \div 4 + 9 - 17 = ?

    Tap an option to check your answer.

  10. Question 10

    12 Sep 2025 S3

    24
    If +=×, −=+, ×=÷+ = \times,\ - = +,\ \times = \div; then 10+2−4×2=?10 + 2 - 4 \times 2 = ?

    Tap an option to check your answer.

  11. Question 11

    13 Sep 2025 S2

    25
    If '+' means '−-', '−-' means '+', '×\times' means '÷\div', then 50+10−5×550 + 10 - 5 \times 5 = ?

    Tap an option to check your answer.

  12. Question 12

    13 Sep 2025 S3

    24
    If + = ÷\div, - = ×\times, ×\times = +; then 12 + 4 ×\times 2 - 3 = ?

    Tap an option to check your answer.

  13. Question 13

    14 Sep 2025 S1

    25
    If +=×+ = \times, −=+- = +, ×=÷\times = \div; then 6+3−2×1=?6 + 3 - 2 \times 1 = ?

    Tap an option to check your answer.

  14. Question 14

    14 Sep 2025 S2

    24
    If '+' means '×\times', '×\times' means '-', '-' means '÷\div', then 20+5×2−1020 + 5 \times 2 - 10 = ?

    Tap an option to check your answer.

  15. Question 15

    15 Sep 2025 S1

    20
    "If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 7 x 3 ÷\div 4 + 20 - 5=?

    Tap an option to check your answer.

  16. Question 16

    15 Sep 2025 S1

    23
    If '+' means '÷\div', '−-' means '×\times', '×\times' means '+', and '÷\div' means '−-', then 18+6−2×3=?18 + 6 - 2 \times 3 = ?

    Tap an option to check your answer.

  17. Question 17

    15 Sep 2025 S2

    23
    "If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 48 x 8 ÷\div 12 + 4 - 7=?

    Tap an option to check your answer.

  18. Question 18

    15 Sep 2025 S3

    25
    If + = ×\times, ×\times = +, - = ÷\div; then 5 + 6 ×\times 2 - 2 = ?

    Tap an option to check your answer.

  19. Question 19

    16 Sep 2025 S1

    24
    If '+' means '×\times', '-' means '÷\div', '×\times' means '+', then 4−2×3+6=?4 - 2 \times 3 + 6 = ?

    Tap an option to check your answer.

  20. Question 20

    16 Sep 2025 S1

    20
    "If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 40 x 5 ÷\div 8 + 16 - 2=?

    Tap an option to check your answer.

  21. Question 21

    16 Sep 2025 S2

    23
    "If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 60 + 5 - 4 x 10 ÷\div 2=?

    Tap an option to check your answer.

  22. Question 22

    16 Sep 2025 S3

    24
    If ++ = ×\times, −- = ^, ×\times = −-, evaluate: 5−2×3+15 - 2 \times 3 + 1

    Tap an option to check your answer.

  23. Question 23

    17 Sep 2025 S1

    23
    "If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 8 ÷\div 2 x 3 + 18 - 6=?

    Tap an option to check your answer.

  24. Question 24

    17 Sep 2025 S1

    25
    If +=÷, −=×, ÷=+, ×=−+ = \div,\ - = \times,\ \div = +,\ \times = -; then 36+6−2×336 + 6 - 2 \times 3 = ?

    Tap an option to check your answer.

  25. Question 25

    17 Sep 2025 S3

    23
    If '+' means '×\times', '×\times' means '−-', '−-' means '÷\div', then 10−5+3×2=?10 - 5 + 3 \times 2 = ?

    Tap an option to check your answer.

  26. Question 26

    18 Sep 2025 S1

    23
    If '×\times' means '−-', '−-' means '++', '++' means '÷\div', then 12+6×2−4=?12 + 6 \times 2 - 4 = ?

    Tap an option to check your answer.

  27. Question 27

    18 Sep 2025 S3

    23
    If ×\times = +, + = -, - = ×\times; then 4 ×\times 5 + 2 - 3 = ?

    Tap an option to check your answer.

  28. Question 28

    19 Sep 2025 S1

    9
    If "+" means subtraction, "-" means division, "×\times" means addition, and "÷\div" means multiplication, then find: 16÷2−4+3×5=?16 \div 2 - 4 + 3 \times 5 = ?

    Tap an option to check your answer.

  29. Question 29

    19 Sep 2025 S1

    23
    If '+' means '-', '-' means '×\times', '×\times' means '÷\div', and '÷\div' means '+', then 20+5×4−2=?20 + 5 \times 4 - 2 = ?

    Tap an option to check your answer.

  30. Question 30

    19 Sep 2025 S2

    21
    If + = -, - = +; then 20 + 8 - 5 = ?

    Tap an option to check your answer.

  31. Question 31

    19 Sep 2025 S3

    9
    If "++" means division, "−-" means multiplication, "×\times" means addition, and "÷\div" means subtraction, then what is: 24−6+3÷2×4=?24 - 6 + 3 \div 2 \times 4 = ?

    Tap an option to check your answer.

  32. Question 32

    19 Sep 2025 S3

    7
    If ×\times stands for addition, ÷\div stands for subtraction, ++ stands for multiplication, and −- stands for division, then 7×3÷6−4+2=?7 \times 3 \div 6 - 4 + 2 = ?

    Tap an option to check your answer.

  33. Question 33

    19 Sep 2025 S3

    23
    If '×\times' means '++', '++' means '−-', '−-' means '÷\div', then 8×4+2−2=?8 \times 4 + 2 - 2 = ?

    Tap an option to check your answer.

  34. Question 34

    19 Sep 2025 S3

    20
    "If the given symbols mean: '++' means 'divided by' '−-' means 'multiplied by' 'x' means 'minus' '÷\div' means 'plus' Then, find the value of the following expressions: 12+3−8 x 2÷1=?12 + 3 - 8\ \text{x}\ 2 \div 1 = ?

    Tap an option to check your answer.

  35. Question 35

    20 Sep 2025 S1

    20
    You are given a mathematical expression with basic operations. However, the symbols used are not their usual meaning. You must follow these symbol substitution rules: '+' means '-' '-' means '+' '×\times' means '÷\div' '÷\div' means '×\times' 120÷6×5+10−4=?120 \div 6 \times 5 + 10 - 4 = ?

    Tap an option to check your answer.

  36. Question 36

    22 Sep 2025 S3

    21
    If +=×,−=÷,×=+,÷=−+ = \times, - = \div, \times = +, \div = -, then 64−4+2×6=?64 - 4 + 2 \times 6 = ?

    Tap an option to check your answer.

  37. Question 37

    24 Sep 2025 S2

    21
    If + = ×\times, - = ÷\div, ×\times = -, ÷\div = +; 6 + 2 - 4 ×\times 2 ÷\div 1 = ?

    Tap an option to check your answer.