Year 3 Maths Challenge Spring 1

Bronze

1.John buys a pen for £1.70 and a notepad for £3.20. How much did he spend altogether?

2. Ryan bought three cakes for 22p each. How much did he spend?

Explain how to solve these problems.

Silver

Gold

Explain how you know.

Platinum

Imagine your family agreed to give you some pocket money every day for a month! You can choose from the following options:

  1. £10 every day
  2. £3 on the first day, £3.50 on the second, £4 on the third, and so on, increasing by 50p per day
  3. 1p on the first day, 2p on the second, 4p on the third, and so on, doubling each day.

Without doing any working out, which one would you choose, and why?

In a month with 31 days, how much money would you have by the end of the month, under each system? You may wish to explore using a spreadsheet…

In which months would option 1 be better than option 2?
If your family stopped your pocket money on day 8, which option would give you the most?
On which day of the month does option 3 become the most fruitful?
If you chose option 3, how many days would it be before you became a millionaire?

82 responses to “Year 3 Maths Challenge Spring 1”

  1. Amelia A.

    Bronze
    1) 4.90
    2) 66p

    Silver
    He spent 48p and she spent 2.40. Altogether they spent 2.88. She spent 1.92 more than him.

    He spent 1.08 and she spent 2.16. Altogether they spent 3.24. She spent 1.08 more than him.

  2. Alinna A.

    Bronze
    He all together spend £4 .90
    Ryan spend 66p altogether

    1. Alinna A.

      silver
      it cost 24p
      it cost 29p
      altogether they spend 35
      she spend 164
      lia spend 9
      marcus spend 36
      they spend 9
      he had 12

  3. Adam O.

    Bronze:
    1. John spend altogether 1.70 + 3.20 = 4.90 £
    2. Rayan spent altogether 3 x 22 = 66p

    Silver:
    Raspberries:
    1. Waylon spent 2 x 24 = 48p and Talia spent 5 x 48 = 240p which is 2.40£.
    2. Altogether they spent 240 + 48 = 288p which is 2.88£.
    3. Talia spend 240 – 48 = 192p more than Waylon which is 1.92£.

    Peaches:
    1. Lia spent 3 x 36 = 108p (1.08£) and Marcus spent 2 x 108 = 216p (2.16£).
    2. Altogether they spent 108 + 216 = 324p (3.24£).
    3. Marcus spend 216 – 108 = 108p (1.08£).

    Gold:
    Liam has 10p, 10p, 10p, 20p and 50p

    Platinum:
    I would chose number one because it is a big number to start with and at the end of the month you would have 310£.
    1. 10 x 31 = 310 £
    2. Using an Excel spreadsheet I calculated 325.5£
    3. Using an Excel spreadsheet I calculated 2147483647p (21,474,836.47£)
    After doing the maths I understand that number 3 is the biggest!.. This was amazing!.
    – On February option would be better than option two because there are 28 days and I would have 280£ rather than 273£
    – If the family stopped pocket money on day 8, option one would be better because I would have 80£ rather than 38£ for option two and 2.55£ for option three.
    You would become a millionaire after 28 days.

  4. Muhammed G.

    Math

    Bronze

    1) 3.20 + 1.70 = £4.90

    2) 22 x 3 = 66p

    Silver

    1)a Waylon spent 24 x 2 = 48p
    Talia spent 24 x 10 = £2.40
    1b) £2.88
    1c) £1.92

    2a) lia £1.08
    Marcus £2.16
    2b) £3.24
    2c) £1.08

    Gold

    Liams five coins 10p, 10p, 10p, 20p, 50p

    Three coins add up to 30p (10,10,10)

    Three coins add up to 40p (10, 10, 20)

    Five coins add up to £1 (10,10,10,20,50)

    Platinum

    1) Without working out, I would chose option 1. The reason is this immediately over the first few days gives me the biggest reward.

    2) in a 31 day month I would have the below totals

    Option 1 = £310
    Option 2 = £325.50
    Option 3 = £21,474,836.47

    3) Option 1 is better than option 2 in February £280 vs £273

    4) If my pocket money stopped on day 8 , option 1 would give me the most

    £80 vs £38 vs £2.55

    5) Option 3 becomes the most fruitful on day 14

    6) If I chose option 3 I would become a millionaire on day 27

    English

    Bronze

    The Roman Empire was a group of countries owned by Rome.

    Toga’s could be made from linen or wool.

    Roman men would wear a toga whereas Roman women would wear a stole.

    Silver

    Although, they were very powerful they eventually got overthrown by the Barbarians. As a result, of their power they would take over many countries.

    The romans became very powerful and consequently, became arrogant and complacent which meant the countries they took over eventually got annoyed and took over them.

    Gold

    The men wore a long thin tunic with a silk / wool scarf. The women would wore a stole and jewellery called a brooch.

  5. Muhammad D.

    Bronze
    1.4.90
    2.66p
    Silver
    Waylon spend 48 and Talia spends 120. Altogether they spend 288.
    She spends 240 more than Waylon.
    Lia spends 108 and Marcus spends 216.Altogether they spend 324.He spends 108 more then Lia.
    Gold
    10 + 10 + 10 = 30
    20 + 10 + 10 = 40
    10 + 10 + 10 + 20 + 50 = 1£.

  6. Nma M.

    Bronze:
    John has £4.90 because 70p+ 20p= 90p
    then £1+£3=£4 altogether it is £4.90 .
    3 X 22p = 66p because Ryan has 3 cakes then 2 X 3= 6 so then 3 X 22= 66p.
    Silver:
    The answer is 24 X 5= £1.20 because if 4X5=20 24X5=£1.20
    The answer is £3.24 i know this because 9 X 36 = £3.24
    Gold:
    10p + 10p + 10p = 30p
    10p +10p + 20p= 40p
    10p + 10p + 10p + 20p + 50p= £1
    Platinum:
    I would choose the 1st option because £10 X 31 days = £310 pound at the end of the month.
    The second option has £18.50p at the end of the month. So the 1st option would be better for me if my parent stop giving me money on the 8th day I still have £80.

  7. Aryan M.

    John has spent £4.90 because 20+70 equals 90 and 3+1 equals 4.
    Ryan has spent 66p because 22+22+22 equals 66.
    Silver
    Waylon spent 48p and Talia spent £2.20 and altogether it is £2.68. Talia spent £1.70 more than Waylon.
    2.
    Marcus spent £2.16 and Lia spent £1.8 and together they spent £3.24.
    Marcus spent £1.8 more than Lia.

  8. Irfa M.

    Bronze
    1. 1.70+3.20=4.90
    John spent 4.90£ altogether.
    2. 22×3=66
    Ryan spent 66p.

    Silver
    9. 24×2=48
    Waylon spent 48p
    24×10=240
    Thalia spent 240p
    10. 36×3=108
    Lia spent 108p
    108×2=216
    Marcus spent twice as Lia ,he spent 216p.
    108+216=324
    Lia and Marcus spent 324p altogether.

    Gold
    10+10+10=30p
    10+10+20=40p
    10p+10p+10p+20p+50p=100p=1£
    He has three 10p , one 20p and one 50p.

    Platinum
    I will choose 10£everyday.

  9. Harrison S.

    Bronze
    £4.90 was spent altogether. I know this because £1.70+£3.20=£4.90
    Ryan spent 66p because 22×3=66.
    Silver
    Waylon spent 48p I know this because 24×2=48. Talia spent £2.40 because 24px10=£2.40.
    2.40-48=1.92 so Talia spent £1.92 more than Waylon.
    Lia spent £1.98 and Marcus spent £3.96.
    Altogether they spent £5.94
    £3.96-£1.98=£1.98 so Marcus spent £1.98 more than Lia.

    1. Harrison S.

      Lia spent £1.08.
      Marcus spent £2.16
      £3.24 was spent altogether.
      Marcus spent £1.08 more than Lia.

  10. Mohammed K.

    Bronze
    1. £4.90
    2. 66
    I worked the first by adding 1 pound and 3 pound which equals 4 pound .
    After that I did 70 add 20 which equals 90.Then you add 4 pound add 90p which is £4.90.
    I worked out the second one by multiplying 2×3 which equals 6.Then you add a zero which is 60.Then you times 3×2 again which is 6.After you add it together which equals 66.
    Silver
    Waylon spent 48p
    Taliya spent £2.40p
    They spent £2.88p altogether

    1. Mohammed K.

      Taliya had £1.92p more
      Lia spent £1.08p
      Marcus spent £2.16p
      They spent £3.24p althoger
      Marcus spent £1.08p more

  11. Sara K.

    BRONZE
    1.70+
    3.20
    = £4.90
    22p+22p+22p=66p
    I know this because I added 1.70 and 3.20 then add them together then you will get £4.90.
    SILVER
    24p+24p+24p+24p+24p+24p+24p+24p+24p+24p=240p
    24×10=240
    36. 108+108= 2.16
    36
    +36
    ______
    108p
    Marcus spent 108p more than Lia.
    GOLD
    52p 20p 10p 10p 10p

  12. Mohammed D.

    1. £4.90
    2. 66p

    Waylon spent 48p
    Talia spent £2.40

    Talia spent £1.92 more.

    Lia spent £1.08
    Marcus spent £2.16
    Marcus spent £1.08 more

    1. Khadeeja M.

      The price of the peaches is 36 p.
      Lia bought 3 peaches.
      They cost her 36*3=£1.08.
      Marcus bought 6 🍑.
      They cost him 36*6=£2.16.
      Altogether they spent £3.24 because 216+108=324.
      Marcus spent £1.08 more than Lia.

  13. Aiza B.

    Bronze
    4.90
    Silver
    alltogether they have 2.88
    Waylon spent more money because she spent 190

  14. Maryam M.

    I have completed my homework

  15. Khadeeja M.

    Bronze

    1.John buys a pen for £1.70 and a notepad for £3.20. How much did he spend altogether?
    John spent £4.90 for the pen 🖊 and notepad I know this because I done £1+£3=£4 and 70p+20p=90p.
    2. Ryan bought three cakes for 22p each. How much did he spend?
    Ryan spent 66p. I know this because 2*3=6 and 2*3=6 to so we grab the answers which are 6 and 6 and the answer is 66.
    Explain how to solve these problems.
    I have explained it.
    Silver.
    Waylon spent 48p.
    Talia spent £2.40
    All together they spend: 240+48= £2.88
    Talia spent £1.92 more than Waylon because 240-48=190

    1. Khadeeja M.

      23/01/2022 at 11:46 am •
      The price of the peaches is 36 p.
      Lia bought 3 peaches.
      They cost her 36*3=£1.08.
      Marcus bought 6 🍑.
      They cost him 36*6=£2.16.
      Altogether they spent £3.24 because 216+108=324.
      Marcus spent £1.08 more than Lia.

  16. Minhaj A.

    Bronze
    1.Altogether it is 4 pound 90 pence . I worked this out by adding them together and used the formal written method.
    2. The answer is 66p. I know this because it is actually saying 3 X 22 and the equals 66. I worked this out by doing 3 X 2= 6 and 3 X 2=6 so it is 66 that is the formal written method.
    Silver
    1. Talia spent 2 pound 40 pence. Waylon spent 48p. Altogether they spent 2 pound 88p.
    Talia spent 192 as much more then Waylon.
    2.Marcus has 2 pound 16p. Lia has 1 pound 8 pence. Altogether it is £3.14p. Marcus has £1.8p more than Lia.
    Gold
    20+5+5=30
    20+10+10=40
    20+20+20+20+20=£1
    Platinum
    I would choose £30 pound a month because it is a big number and if you get that much in a month it will be like £310.

  17. Amina J.

    BRONZE
    The answer is £4.90. I know this because I calculated 70+20 and got 90 then I calculated1+3 and got 4.
    Ryan spent 66p.I know this because 22+22+22=66 it is also 22×3.
    SILVER
    The answer is £1.20.I know this because if 4×5=20 24×5=£1.20
    The answer is £3.24.I know this because 9×36 =£3.24
    GOLD
    10,10,10,20,10=£1
    GD
    First option I Will have £310 at the end of the month.
    Second option I Will have £18.50 at the end of the month.
    Third option I Will have £10,737,418.24 at the end of the month.
    Third option is the best.
    It will take 28 days for me to become a millionaire with £1,342,17728.

  18. Yunus H.

    Bronze
    1. £4.90 Because 7p+2p=9p so 70p+20p=90p
    2. 66p because 3×2=6 and 22×3=66
    Silver
    24×10=240 because if 2×10=20 24×10=240p
    24×2=48p
    240p+48p=288p or £2.88
    36×3=108p or £1.08
    36×6=216 or £2.16p
    2.16+£1 8p
    Gold
    10p+10p+10=30p
    20p+10p+10p=40p
    10p+10p+10p+20p+50p=100p or £1
    Platinum
    1st option 30×10=£310
    second option I will have £18 end of the month
    so 1st option will be better .

  19. Aqsaa F.

    bronze
    £1.70 + £3.20 = £4.90
    22p x 3 = 66p

    silver
    24p x 5 = 120p
    36 x 2 = 72p

  20. Muhammad I.

    Bronze –
    £1.70 + £3.20 = £4.90 John spent.
    22×3 = 66p for 3 cakes.

    Silver 2 –

    Waylon bought 2 raspberries
    24px2= 48p

    Talia bought 10 raspberries
    24px10 =£2.40
    They spent £2.88p altogether.
    Talia spent £2.40-48p= £1.92 more than Waylon.

    Lia bought 3 peaches
    36p×3= £1.08
    Marcus = 36p×6 £2.16
    They spent £2.16 + £1.08 = £3.24 altogether
    Marcus spent £2.16 – £1.08 = £1.08 more than lia.

    Gold –
    Liam has 3 10p = 10p +10p +10p = 30p
    Liam has 20p and two 10ps = 20p +10p+10p
    The answer is that Liam has = 10p+10p+10p+20p+50=£1

  21. Amina J.

    Bronze:

  22. Ramandeep K.

    Bronze
    1. John buys a pen for £1.70 and a notepad for £3.20. How much did he spend all together?
    He spent £4.90 I know this because £1+ £3= £4 and £70+ £20=£90 so that equals £4.90.
    2. Ryan bought three cakes for 22p. How much did he spend?
    Ryan spent 66p for all three cakes I know this because 22+22+22=66
    Silver
    Waylon spent 48p I know this because 24×2=48
    Taila spent 2.40p I know this because 24×10=£2.40p
    All together they spent £2.88p I know this because 48+2.40p= £2.88p

  23. Muhammad Y.

    Maths challenge
    John spends £4.90 in total.
    Ryan spends 66p in total.
    I added £1.70+£3.20 and got the answer.
    I calculated 22×3 and it gave me the answer

  24. Madeeha T.

    Silver
    Waylon spent 48p on raspberry’s
    Taille spent £2.40
    Altogether they spent £2.88
    Taille spent £1.92 more than Waylon

    Lia spent £1.08
    Marcus spent £2.16
    Marcus spent £1.08 more than Lia
    Altogether they spent £3.24
    Gold

  25. Madeeha T.

    Bronze
    Pen.£1.70
    Notepad.£3.20
    If you add the numbers together the answer is £4.90
    They spend 22p each snit 3, then the answer will be 66p.

  26. Muazzan M.

    Bronze.
    1. £1.70 + £3.20 =£4.90
    2. 22p ×3 cakes= 66p
    Silver
    Waylon spent 48p because 24p *2 raspberries.
    Talia spent £1.20 because 24p * 5 rasperries
    They spent £1.68 altogether because £1.20 + 48p = £1.68
    Talia spent 82p more than Waylon.

    10.Lia spent £1.08 because 36p *3peaches = £1.08
    Mark spent £2.16 because 36p * 6 peaches= £2.16
    They spent £3.24 altogether because £1.08 + £2.16 =£3.24
    Mark spent £1.08 more than Lia.

  27. Joshua C.

    Bronze
    John spent £4.90 because 70+20=90 and 1+3=4
    Ryan spent £66 because times 3 by 22 and get your answer.
    Silver
    Waylon spent 48p and tali spent 240p and them spent all together 288p.
    Lia spent 118p and Marcus spent 236p and they spent all together 344p.
    Gold
    10+10+10=30
    10+10+20=40
    50+20+10+10+10=£1

  28. Myiesha S.

    Bronze
    Pen. £1.70
    Notepad. £3.20
    Now add these numbers together and here’s the answer.
    1. They spent £4.90.
    2. Three cakes 22p each.
    22p
    × 3
    Answer
    66p
    Silver
    9 . Waylon bought 2 raspberries
    24×2=48p
    Talia bought 10 raspberries
    24×10=£2.40p
    Walton spent 48p
    Talia spent £2.40p
    They spent altogether
    2.40
    +48
    Answer £2.88p
    Talia spent more than Waylon
    Talia £2.40
    Waylon 48p
    £2.40p
    -48p
    Answer
    £1.92p
    10. Lia spent
    36p
    ×3
    Answer £1.08p
    Marcus bought
    36p
    ×6
    Answer £2.16p
    They spent altogether
    £1.08
    +£2.16
    Answer £3.24p
    Marcus spent more than lia
    £2.16p
    -£1.08p
    Answer £1.08p
    Gold
    Liam has 5 coins
    Three of the coins add up to 30p
    Three coins add up to 40p
    All 5 coins add up to £1
    What are the coins that Liam has.
    30p
    ×3
    Answer 90p
    40×3=£1.20p
    5×£1=£5
    Platinum
    Everyday £10
    £3 on the first day
    £3.50p on the second day
    £4 on the third day
    And so on increasing by 50p per day
    On the 4th day £4.50p
    On the 5th day £5.00
    On the 6th day £5.50p
    On the 7th day £6.00
    On the 8th day £6.50
    On the 9th day £7.00
    On the 10th day £7.50
    On the 11th day £8.00
    On the 12th day £8.50p
    On the 13th day £9.00
    On the 14th day £9.50
    On the 15th day £10.00
    On the 16th day £10.50
    On the 17th day £11.00
    On the 18th day £11.50p
    On the 19th day £12.00
    On the 20th day £12.50
    On the 21th day £13.00
    On the 22nd day £13.50
    On the 23rd day £14.00
    On the 24th day £14.50
    On the 25th day £15.00
    On the 26th day £15.50
    On the 27th day £16.00
    On the 28th day £16.50
    On the 29th day £17.00
    On the 30th day £17.50
    On the 31st day £18.00
    First option
    £10
    × 31
    Answer
    £310.00
    Second option
    First day £3
    Every day .50
    31
    ×.50 = 15 + 3 = 18
    Third option
    1p first day
    Everyday after 2p then double it
    Option 1 is better than option 2 in all months
    The first option I can have £310
    If family stopped giving me money on the day 8 I still can have £80
    Still option 1 is the best.

  29. Amina H.

    Bronze
    1. £1.70 + £3.20= £4.90
    2. 22p ×3 = 66p cakes.
    Silver
    24× 2 raspberry waylon spend =48p
    Talia 24×10=2.40 Talia spend £2.40
    £2. 40+48 =£2.88 Althogether
    Taila spend more £1.92
    Iia 36×3= £ 1.08 Marcus = 36×6 £2.16
    £2.16 +£1.08 £3.24=£2.16 – £108=£1.08 Marcus spend more than lia.
    Gold
    Liam has five coins.
    10 +10+10=30p
    20+10+10= 40p
    10+10+10+20+50= £1
    Platinum -:
    First option-:
    £10×31=£310
    Second option =3 firstday and 50p increasing everyday Althogether = £ 325.5

  30. Mopelola L.

    Bronze.
    1. £1.70 + £3.20 =£4.90
    2. 22p ×3 cakes= 66p

    Silver.
    9.Waylon spent 48p because 24p *2 raspberries.
    Talia spent £1.20 because 24p * 5 rasperries
    They spent £1.68 altogether because £1.20 + 48p = £1.68
    Talia spent 82p more than Waylon.

    10.Lia spent £1.08 because 36p *3peaches = £1.08
    Mark spent £2.16 because 36p * 6 peaches= £2.16
    They spent £3.24 altogether because £1.08 + £2.16 =£3.24
    Mark spent £1.08 more than Lia.

    Gold.
    Liam has 3 of the same 10p = 10p +10p +10p
    He has 1 20p and 2 10ps =20p +10p+10p
    Liam has =10p+10p+10p+20p+50=£1

    Plantium.
    First option I Will have £310 at the end of the month
    Second option I Will have £18.50 at the end of the month
    Third option I Will have £10,737,418.24 at the end of the month

    Option 1 is better than option 2 in all the months

    The first option will give me the most because I would have £80 by day 8.

    On the 31st day of the month with £10,737,418.24 will become the most fruitful
    It will take 28 days for me to become a millionaire with £1,342,17728.

    1. Zahra N.

      Bronze
      Pen.1.70
      Notepad.3.20
      All together is 4.90
      Silver
      Waylon brought 2 Strawberries and Taila got 10 Strawberries.All together they Spend 1.68 Because £1.20+48p=£1.68.
      Gold
      Liam has 5 Coins
      3 of the Coins add up to 30p
      Three coins add up to 40p
      All five Coins add up to £1
      .

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