Year 4 Maths Challenge- Autumn 1

Below are a few fruity puzzles.
Let’s see who can use their number knowledge to work out the value of the fruits below.
*Show your working out
*Which methods did you need to use (inverse?)
*What is the value of each fruit?
*What is the number sentence for each?

Attempt completing more than two challenges.

 

Bronze challenge

 

Silver challenge

 

Gold challenge

 

Platinum challenge

 

79 thoughts on “Year 4 Maths Challenge- Autumn 1”

  6. Bronze:
    🍌+🍌=30
    15+15=30
    🍒+🍒=20
    10+10=20
    🍏+🍏=8
    4+4=8
    🍌+🍒×🍏=??
    15+10×4=100

    Silver:
    🍏+🍏+🍏=30
    10+10+10=30
    🍏+🍌+🍌=18
    10+4+4=18
    🍌-🍒=2
    4-2=2
    🍒+🍏+🍏=??
    2+10+4=16

    Gold:
    🍎+🍎+🍎=90
    30+30+30=90
    🍎+🍏🍏+🍏🍏=230
    30+100+100=230
    🍋+🍏🍏+🍎=210
    80+100+30=210
    🍏-🍎+🍋=??
    100-30+80=130

    By
    Saifullah khan 3Blue ☺🙂😁😁

  7. PLATINUM

    Apple + pear – orange = 4
    Apple – 2pears + 3oranges = -6
    2apples + 3pears + oranges = 7

    Apple = x
    Pear = y
    Orange = z

    X + y – z = 4
    X – 2y + 3z = -6
    2X + 3y + z = 7

    X + y – z = 4
    3y – 4z = 10
    – y – 3z = 1

    X + y – z = 4
    3y – 4z = 10
    – 13z = 13

    So x = apple = 1
    Y = Pear = 2
    Z = Orange = -1

    The result is

    Apple + pear – orange = 4 is 1 + 2 – -1 = 4
    Apple – 2pears + 3orange = -6 is 1 – 4 + -3 = -6
    2 apples + 3pears + orange = 7 is 2 + 6 + -1 = 7

  15. bronze
    banana+banana=30
    cherry+cherry=20
    apple+apple=8
    banana+cherry*apple=100
    silver
    apple+apple+apple=30
    10+10+10=30
    apple+banana+banana=18
    10+4+4=18
    banana-cherry=2
    4-2=2
    cherry+apple+banana=29
    15+10+4=29

  16. Bronze
    15+15=30
    10+10=20
    4+4=8
    15+5×4=35 The principle is to multiply before adding. So we have 15 + 20 = 35.

    SILVER
    10+10+10=30
    10+4+4=18
    4-2=2
    2+10+3=15

    Gold
    30+30+30=90
    30+100+100=230
    80+100+30=210
    50-30+80= 100 50-30=20+80=100

    Platinum
    3+3-2=4
    Oh my brain it’s so hard I tried hard to find the answer but I couldn’t I will leave it until tomorrow and try again.

  18. Bronze Challenge
    > Banana = 15
    > Cherry = 5
    > Green Apple = 4

    15 + 15 = 30
    (2×5) + (2×5) = 20
    4 + 4 = 8
    15 + 5 x 4 = 35.

    I have used the Maths rule to multiply first: 5 times 4 = 20, then adding 15 which gives 35.

    Using the Inversing method: 35 – 15 = 20; 20 divided by 5 is equals to 4. This makes my answer correct!

    Silver Challenge
    > Green Apple = 10
    > Bananas = 4
    > Cherries = 2

    10 + 10 + 10 = 30
    10 + 4 + 4 = 18
    4 – 2 = 2
    2 + 10 + 4 = 16

    Using the Inversing method: 16 – 4 = 12; and 12 – 10 = 2. This makes my answer correct.

    Gold Challenge
    > Red Apple = 30
    > Green Apple = 50
    > Yellow Fruit = 80

    30 + 30 + 30 = 90
    30 + (2×50) + (2×50) = 230
    80 + (2×50) + 30 = 210
    50 – 30 + 80 = 100

    Using the Inversing method: 100 – (80 – 30) = 50 or 100 – (50 – 30) = 80. This makes my answer correct.

    Platinum Challenge
    > Red Fruit = 1
    > Green Pear = 2
    > Orange Fruit = -1

    1 + (2) – (-1) = 4
    1 – 2(2) + 3(-1) = -6
    2(1) + 3(2) + (-1) = 7

    I have used the Maths methods to find numbers that can be added and substracted together to give final values of 4, -6 and 7.
    Multiplying two negative number (-) change the sign to addition (+).
    Multiplying a (+) and (-) gives a negative sign (-).

  22. Bronze
    15+15=30
    10+10=20
    4+4=8
    15+5 x4=80
    Silver
    10+10+10=30
    10+4+4=18
    4-2=2
    2+10+4=16
    Gold
    30+30+30=90
    30+100+100=230
    80+100+30=210
    50-30+80=100

  24. Bronze:
    banana=15 15+15=30

    cherry=10 10+10=20

    apple=4 4+4=8

    15+5×4=80

    Silver:
    apple=10 10+10+10=30

    banana=4 10+4+4=18

    cherry=2 4-2=2

    2+10+4=16

  25. a banana is 15 15+15=30
    cherries are 10 10 +10=20
    apple is 4 4+4=8
    banana + cherrie x apple=80
    Silver
    apple=10 10+10+10=30
    banana=4 10+4+4=18
    chery=2 4-2=2

    2+10+4=16
    gold
    red apple=30 30+30+30=90
    green apple=50
    2green apples=100 30+100+100=230
    yellow apple=80 80+100+30=210
    50-30+80=100

  26. Bronze

    Banana+Banana=30
    15+15=30
    Cherry+Cherry=20
    10+10=20
    Apple+Apple=8
    4+4=8
    Banana+CherryxApple=117
    15+24×3=117

    Silver

    Apple+Apple+Apple=30
    10+10+10=30
    Apple+Banana+Banana=18
    6+6+6=18
    Banana-Cherry=2
    12-10=2
    Cherry+Apple+Banana=42
    17+17+8=42

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