Mathematics



                                              WELCOME YOUNG INVESTIGATORS....

Your task to do....

This is word-arithmetic challenge.
NRICH
+STARS

MATHS
MATH
+EMAT

ICAL


Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.
Discover if the puzzle has just one solution or many. 

EXTENSION:
Send in your word-arithmetic challenge, together with at least one solution to it.

62 comments:

  1. Replies
    1. This comment has been removed by the author.

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    2. 1.)NRICH+STARS=MATHS

      N=3
      R=1
      I=7
      C=9
      H=0
      S=5
      T=4
      A=6
      R=1
      S=5
      M=8
      A=6
      T=4
      H=0
      S=5

      2.)MATHS+EMAT=ICAL

      M=6
      A=5
      T=0
      H=7
      E=4
      M=6
      A=5
      T=2
      I=11
      C=1
      A=5
      L=9

      3.)MPQF+TUSL=CQPK

      M=8
      P=4
      Q=2
      F=1
      T=5
      U=7
      S=3
      L=9
      C=14
      Q=2
      P=6
      K=0

      Fadeela 8a

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  3. Done with it easy

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  4. 1) NRICH+STARS=MATHS
    - H=0
    S=8
    C=9
    R=1
    I=7
    A=6
    T=4
    N=2
    M=10
    21790+84618=106408

    -S=5
    H=0
    C=4
    R=6
    I=2
    A=8
    T=1
    N=7
    M=12
    76240+51865=128105

    2) MATH+EMAT=ICAL
    -L=0
    H=1
    T=9
    A=3
    M=4
    C=8
    E=2
    I=6
    4391+2439=6830

    -L=7
    H=8
    T=9
    A=5
    M=6
    C=2
    E=4
    I=11
    6598+4659=11257
    Ma. Raphaela 8A

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  7. N R I C H N=5 S=3
    + S T A R S R=4 T=2
    -------------------- I=9 A=6 MATHS= 381729
    M A T H S C=1 R=8
    H=7 S=12

    M A T H M=3 E=2
    + E M A T A=6 M=8 ICAL= 6565
    ------------------ T=9 A=7
    I C A L H=4 T=1

    B=2 S=1
    O=4 O=3
    R=6 R=5 246810+13579= 382600
    E=8 R=7
    D=10 Y=9

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  8. This comment has been removed by the author.

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  9. Spent so long working on this >,<
    Q1) NRICH 31790
    +STARS = +52415
    ----------------- ---------------
    MATHS 84205
    ========================
    H = 0
    R = 1
    T = 2
    N = 3
    A = 4
    S = 5
    I = 7
    M = 8
    C = 9
    ------------------------------------------------
    Q2) MATH 3492
    +EMAT = +5349
    ---------------- ----------------
    ICAL 7841
    ==========================
    M = 3
    A = 4
    T = 9
    H = 2
    E = 5
    I = 7
    C = 8
    L = 1
    ---------------------------
    ANSWERED BY: SEAN SEVILLA 8B ;)

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    Replies
    1. i believe that your question 2 is wrong
      the correct answer is:
      2) MATH+EMAT=ICAL
      -L=0
      H=1
      T=9
      A=3
      M=4
      C=8
      E=2
      I=6
      4391+2439=6830

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    2. This comment has been removed by the author.

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  11. N=3
    R=1
    I=7
    C=9
    H=0
    S=5
    T=4
    A=6
    R=1
    S=5
    M=8
    A=6
    T=4
    s=5
    h=0
    nrich and stars

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  12. A=5
    M=6
    T=0
    H=7
    E=4
    M=6
    A=5
    T=2
    I=11
    C=1
    A=5
    L=9
    math and emat

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  13. It took some time but teacher explained it well and i understood

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  14. 1. NRICH+STARS=MATHS
    N=13
    R=4
    I=5
    C=6
    H=0
    S=2
    T=9
    A=3
    M=16
    NRICH+STARS=MATHS
    134560+29342=163902

    2.MATH+EMAT=ICAL
    M=6
    A=5
    T=9
    H=4
    E=8
    I=15
    C=2
    L=3

    MATH+EMAT=ICAL
    6594+8659=15253

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  16. M A T H
    + E M A T
    __________
    I C A L

    Answer:
    4 8 9 1
    + 2 4 8 9
    ------------
    7 3 8 0
    M -> 4
    A -> 8
    T -> 9
    H -> 1
    E -> 2
    M -> 4
    A -> 8
    T -> 9
    I -> 7
    C ->3
    A -> 8
    L -> 0

    -----------------------------------------------------------------------------------------------------------------------------------------------

    N R I C H
    + S T A R S
    __________
    M A T H S

    3 1 7 9 0
    + 5 4 6 1 5
    ------------------
    8 6 4 0 5
    N -> 3
    R -> 1
    I -> 7
    C -> 9
    H -> 0
    S -> 5
    T -> 4
    A -> 6
    R -> 1
    S -> 5
    M -> 8
    A -> 6
    T -> 4
    H -> 0
    S -> 5

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  17. N=9 R=3 I= 6 C=7 H=0
    S=2 T=8 A=1 R=3 S=2
    ------------------------------------------
    M=12 A=1 T=8 H=0 S=2

    ======================
    M=7 A=6 T=9 H=1
    E=8 M=7 A=6 T=9
    --------------------------------
    I=16 C=4 A=6 L=0

    ====================
    A=1 B=2 C=3 H=8
    D=4 E=5 F=6 J=0
    -------------------------------
    E=5 G=7 I=9 H=8

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  18. it is too hard
    and only sean is correct
    there is only one ans
    according to 1 digit thing

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    Replies
    1. i got the same ans as sean

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    2. one letter is one digit yeahh.

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    3. This comment has been removed by the author.

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    4. and i believe seans question 2 is wrong

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    5. the correct answer is:
      2) MATH+EMAT=ICAL
      -L=0
      H=1
      T=9
      A=3
      M=4
      C=8
      E=2
      I=6
      4391+2439=6830

      Delete
  19. This comment has been removed by the author.

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  20. A=5
    M=6
    T=0
    H=7
    E=4
    M=6
    A=5
    T=2
    I=11
    C=1
    A=5
    L=9
    math emath ical

    n=4
    r=8
    i=5
    c=3
    h=0

    s=7
    t=9
    a=2
    r=8
    s=6

    nrich stars

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    Replies
    1. i think ur first statement is wrong that is math+emat=ical not math emath ical

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  21. Q1) NRICH (31790) + STARS (52415) = MATHS (84205)
    H = 0
    R = 1
    T = 2
    N = 3
    A = 4
    S = 5
    I = 7
    M = 8
    C = 9

    Q2) MATH (3492) + EMAT (5349) = ICAL (7841)
    M = 3
    A = 4
    T = 9
    H = 2
    E = 5
    I = 7
    C = 8
    L = 1

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  22. NRICH-31790
    STAR-52415
    MATHS-84205
    H-0
    R-1
    T-2
    N-3
    A-4
    S-5
    I-7
    M-8
    C-9

    MATH-3492
    EMAT-5349
    ICAL-7841
    M-3
    A-4
    T-9
    H-2
    E-5
    I-7
    C-8
    L-1

    Done
    like a boss

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  23. N = 9
    R = 6
    I = 7
    C = 4
    H = 0
    S = 5
    T = 1
    A = 8
    M = 14

    NRICH + STARS = MATHS
    96740 = 51365 = 148105

    M = 1
    A = 4
    T = 0
    H = 3
    E = 9
    I = 10
    C = 5
    L = 3

    MATH + EMAT = ICAL
    1403 + 9140 = 10543


    by Luiza Eudela 8C

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  24. This comment has been removed by the author.

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  25. Q1. NRICH
    +STARS
    =MATHS

    H=0
    S=7
    C=4
    R=6
    I=3
    A=2
    T=6
    N=1
    M=9

    N R I C H (1 6 3 4 0)

    + S T A R S (7 6 2 6 7)
    ------------------
    M A T H S (9 2 6 0 7)

    __________________________________________________________________________________________________________

    Q2. MATH
    +EMAT
    =ICAL

    H=6
    T=9
    L=5
    A=2
    M=5
    C=7
    E=4
    I=9

    M A T H (5 2 9 6)
    +E M A T (4 5 2 9)
    -------------
    I C A L (9 7 2 5)

    SOLVED BY : WALEED SHAIKH 8D

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  26. Q1

    NRICH+STARS=MATHS

    N=5
    R=8
    I=1
    C=7
    H=0
    S=2
    T=6
    A=4
    M=8


    Q2

    H=2
    T=9
    A=0
    M=3
    E=5
    I=8
    C=4
    L=1

    MATH+EMAT=ICAL

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  27. =========
    H@^^Z@
    =========
    1.
    H ==> 0
    S ==> 8
    C ==> 7
    R ==> 3
    I ==> 5
    A ==> 6
    T ==> 2
    N ==> 1
    M ==> 9

    2.
    H ==> 3
    T ==> 9
    L ==> 2
    A ==> 5
    C ==> 6
    E ==> 7
    I ==> 8
    M ==> 1

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  28. Q1) NRICH+STARS=MATHS
    H = 0
    R = 1
    T = 2
    N = 3
    A = 4
    S = 5
    I = 7
    M = 8
    C = 9
    31790+52415=84205

    Q2) MATH+EMAT=ICAL
    L=0
    H=1
    T=9
    A=3
    M=4
    C=8
    E=2
    I=6
    4391+2439=6830

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  33. 1st Answer:
    N = 4
    R = 1
    I = 7
    C = 9
    H = 0
    S = 5
    T = 11
    A = 3
    R = 1
    S = 5
    M = 10
    A = 3
    T = 11
    H = 0
    S = 5
    = 103105


    2nd Answer:
    M = 3
    A = 8
    T = 9
    H = 1
    E = 2
    M = 3
    A = 8
    T = 9
    I = 6
    C = 2
    A = 8
    L = 0
    = 6280

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  34. nrich 16340 + stars 76267 = maths 92607
    math 5296 + emat 4529 = ical 9725

    Alisher 8D why so time consuming?

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  35. 1. NRICH+STARS=MATHS
    N=13
    R=4
    I=5
    C=6
    H=0
    S=2
    T=9
    A=3
    M=16
    NRICH+STARS=MATHS
    134560+29342=163902

    2.MATH+EMAT=ICAL
    M=6
    A=5
    T=9
    H=4
    E=8
    I=15
    C=2
    L=3

    MATH+EMAT=ICAL
    6594+8659=15253

    ReplyDelete
  36. Q1)NRICH+STARS=MATHS
    N=3
    R=1
    I=7
    C=9
    H=0
    S=8
    T=4
    A=6
    R=1
    S=8
    M=11
    A=6
    T=4
    H=0
    S=8
    31790+84168=116408

    Q2) MATH+EMAT=ICAL
    M=4
    A=8
    T=9
    H=2
    E=5
    M=4
    A=8
    T=9
    I=10
    C=3
    A=8
    L=1
    4892+5489=10381

    ReplyDelete
  37. 1) NRICH+STARS=MATHS
    - H=0
    S=8
    C=9
    R=1
    I=7
    A=6
    T=4
    N=2
    M=10
    21790+84618=106408

    -S=5
    H=0
    C=4
    R=6
    I=2
    A=8
    T=1
    N=7
    M=12
    76240+51865=128105

    2) MATH+EMAT=ICAL
    -L=0
    H=1
    T=9
    A=3
    M=4
    C=8
    E=2
    I=6
    4391+2439=6830

    -L=7
    H=8
    T=9
    A=5
    M=6
    C=2
    E=4
    I=11
    6598+4659=11257

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  38. (1A. N=1 R=7 I=2 C=3 H=0 (1B N=2 R=6 I=3 C=4 H=0
    + S=8 T=9 A=6 R=7 S=8 + S=7 T=5 A=1 R=6 S=7
    = M=10 A=6 T=9 H=0 S=8 = M=10 A=1 T=5 H=0 S=7

    (2. M=2 A=5 T=9 H=1
    + E=4 M=2 A=5 T=9
    = I=6 C=7 A=5 L=0

    After having time to put some thought into this peculiar question; I realised that this mathematical puzzle has endless solutions to these 2 questions, or all mathematical puzzles at that matter. Because of the mentioned rule above of having 1 letter representing the same digit each time, having this rule means that you can classify a letter to whatever number you'd like it to represent, but it must be the same number for the same letter once written down at all costs. In my answers, I have restricted myself to using numbers from 1 to 10 only.

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    Replies
    1. (Yes, It's a mathematical puzzle. It doesn't relate to algebraic or numerical equations at all)

      Delete

  39. 1) NRICH + STARS = MATHS
    17230 + 48574 = 65804

    2) MATH + EMAT = ICAL
    1894 + 5189 = 7083


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  40. 1) NRICH+STARS=MATHS
    - H=0
    S=8
    C=9
    R=1
    I=7
    A=6
    T=4
    N=2
    M=10
    21790+84618=106408

    -S=5
    H=0
    C=4
    R=6
    I=2
    A=8
    T=1
    N=7
    M=12
    76240+51865=128105

    2) MATH+EMAT=ICAL
    -L=0
    H=1
    T=9
    A=3
    M=4
    C=8
    E=2
    I=6
    4391+2439=6830

    -L=7
    H=8
    T=9
    A=5
    M=6
    C=2
    E=4
    I=11
    6598+4659=11257

    ReplyDelete