24 thoughts on “Year 6 Maths Challenge

  1. He is 26 years old because last year he is 25 which is a square number and next year will be 27 which is a cube number.he will be 64 when his age is a square and cube number

  2. question no:1
    his age is 48 years old and next year he will be 49.I know this because

    8 7
    16 14
    24 21
    32 28
    40 35
    48 42
    56 49
    64 56
    72 63
    80 70
    6×8=48
    7×7=49

    question number:2
    he is 26.I know this because,

    square number: cube number:
    4 6
    9 27
    16
    25
    5×5=25
    3x3x3=27
    If I am 26 this year than I was 25 last year which is a square number and next year I will be 27 and 27 is a cube number.I would have to wait 38 years long until I am both square an cube number which is 64.

  3. Amaan Khan has given me a superb project with all the answers completed. It was very impressive and showed he had made progress because he clearly explained each step of the process with multiplication grids to support.

    Well done Amaan!

    It’s not too late for everyone else to submit their entry. I look forward to seeing them!

  4. in my working out i have shown you that i have put the 8 times table besides the 7 times table and observed them.
    Take a look

    8 7
    16 14
    24 21
    32 28
    40 35
    48 42
    56 49
    64 56
    72 63
    80 70

    In the question the man says this year his age is in the eight times table and next year it will be in the seven times table. so in order to do this you look at your seven and eight times tables then observe them to se which ones are next to each other.

    Acording to my research i have found out that this year the midaged man is 48 which is 6*8=48 and then 7*7=49 so he will be 49 next year

  5. She is 48 this year and 49 years old the next.

    This is how i worked it out:
    I had to find a multiple in the 8 times table which is smaller than a multiple of the 7 times table.

    The only multiple that is smaller in the 8 times table than the 7 times table is:
    48(6*8)

    Well we know that next year her age will be bigger than this year so this year she is going to be 48.
    The next year she will be 49.

    She is 26.
    I had to find a number which is between a square number and a cube number.

    The number I found which was in between a square number and a cube number was 26.
    (5*5=25-square number 3*3*3=27-cube number)

  6. She is 48 this year and 49 years old the next.

    This is how i worked it out:
    I had to find a multiple in the 8 times table which is smaller than a multiple of the 7 times table.

    The only multiple that is smaller in the 8 times table than the 7 times table is:
    48(6*8)

    Well we know that next year her age will be bigger than this year so this year she is going to be 48.
    The next year she will be 49.

    She is 26.
    This is how i worked it out:

    I had to find a number which is between a square number and a cube number.

    The number I found which was in between a square number and a cube number was 26.
    (5*5=25-square number 3*3*3=27-cube number)

  7. I am 19 because 27×2=54 and so 27-8=19 which is 5 years
    younger than mum being double my age. I have used trial and error to find my answer.

  8. The number is 26 because last year the age was 25 so next year should be 27
    e.g 3×3=9×3=27 and to find out about the cube number, it will take 55 years because 55+26= 81 years so 81\3= 27 and 81 is a square number e.g 9×9=81

  9. 1) 48 because you do 8×6=48 7×7=49 the answer is 48 years old.
    2)26 because last year it was 5×5=25 27 next year so 3x3x3=27
    55 years you have to wait so 55+26=81 9×9=81 3x3x3x3=81 so 81 is a square and cube number.

  10. 2)The way to find out the answer to the second problem is to write out all the cube and square numbers.

    Cube numbers

    1 =1 × 1 × 1
    8 =2 × 2 × 2
    27 =3 × 3 × 3
    64 =4 × 4 × 4
    125 =5 × 5 × 5
    216 =6 × 6 × 6
    343=7 × 7 × 7
    512 =8 × 8 × 8
    729 =9 × 9 × 9
    1000 =10 × 10 × 10

    Square numbers

    1×1=1
    2×2=4
    3×3=9
    4×4=16
    5×5=25
    6×6=36
    7×7=49
    8×8=64
    9×9=81
    10×10=100
    11×11=121
    12×12=144
    13×13=169
    14×14=196
    15×15=225
    16×16=256
    17×17=289
    18×18=324
    19×19=361
    20×20= 400
    Now we need to find the two numbers 1 from each that have a difference of toe because the questions says square number LAST YEAR and cube number NEXT YEAR.So we need to have a a difference of two because say if he was 48 now last year he was 47 and next year he would be 49 and 47 and 49(his last years and next years age)have a difference of two.

    After going through all the numbers that have a difference of two I think that he was 25 last year(square number) and is going to be 27 next year(cube number).
    Now we need to find the number in between to find out what his age now is.The answer is 26.

    Now to answer the question ‘how many years left until my age is both a square and cube number we need to first find a number that is in both.We need to do this because it says square AND cube number.that number is 1 but he is now 26 so his age can not skip back so I have to look for another one the number is 64.We now need to do 64-26(his age).The answer is 38.So he has to wait 38 more years until his age is both a square and cube number and now he is 26 years old.

  11. wright! in order for you to find this word problem out you are going to have to write down all of your times tables in the 7 and 8 times tables like so.

    7 8
    14 16
    21 24
    28 32
    35 40
    42 48
    49 56
    56 64
    63 72
    70 80
    After you have completed this you will kneed to look through the list and see which numbers come before each other.

    Looking through the list i have found that 49 is in the 7 times table and 48 is in the 8 times table so next year he will be 49 and this year he is in the 8 x table 48.

  12. 1)I think the answer is 48 because to find the answer you need to know 7 and 8 times table and you need to know the two numbers where the one in the 7 times table is one number bigger than the one in the 8 times table and then you know that the smallest number out of both of them is how old he is now and the biggest number is how old he will be next year.The way I found the answer was by writing out the times table and finding the two numbers where 1 numbers 1 number larger than the other.
    8 7
    16 14
    24 21
    32 28
    40 35
    48 42
    56 49
    64 56
    72 63
    80 70

    • I like your logical approach to this Aliyah. You now need to have a go at working out the other two ages.
      You may need to use mathletics to help you out with new vocabulary.

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