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Money · Ages 10+ · Set A
Saving a bit every month
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Remember: A little every month, left in the garden for years: the first coins work the longest, and growth builds on growth.

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Kai's gardenKai did not have a big pile of coins, just ten pretend coins every month. Was that enough to matter? Each month Kai dropped ten coins into the garden, and twelve months make 120 coins in a year. The garden had a New Year's Day rule: it counted the coins already inside, then added one new coin for every ten, while that year's pouches waited. In year one the garden was empty at New Year, so nothing grew yet, and Kai held 120 coins, all saved by hand. In year two the garden counted 120 and added 12, and with twelve more months of pouches it held 252. Year three added 25 and year four added 39. After ten years Kai had put in 1200 coins and the garden held 1907, so growth added 707! In year nine the garden added 136, more than Kai saved in a whole year. At first Kai did the work, but later the garden did, because the first pouches work the longest. This garden is made up. Real ones pay differently, and nothing is promised.
1
Kai saves 10 coins a month. Each pouch below is one month. In 12 months that is coins.
2
At New Year the garden holds 120 coins and adds 1 for every 10. How many new coins sprout?
10 coins12 coins120 coins
3
In year one the garden is empty at New Year, so nothing has grown yet.
TrueFalse
4
Look at the table. In year five the garden adds coins.
5
Kai saves 120 coins in a year. In which year does the garden add MORE than that?
Year 5, adds 55Year 8, adds 113Year 9, adds 136
6
Over 10 years Kai put in 1200 coins and the garden holds 1907. Growth added coins.

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7
Number what happens in Kai's year.
  • The garden adds one new coin for every ten
  • On New Year's Day the garden counts the coins inside
  • Kai drops ten coins in each month
  • Another year of pouches begins
8
Circle every amount that the GARDEN grew, not Kai.
The first 120 coins12 new coins on year two's New Year's Day10 coins dropped in every month136 coins added in year nineThe 707 extra coins by year ten
9
Join each sum to what it shows.
  1. 112 months of 10 coins
  2. 210 years of 120 coins
  3. 31907 − 1200
  • A1200 coins put in
  • B707 coins grown
  • C120 coins in a year
10
Zed says: the garden adds the same number of coins every year. Is Zed right?
YesNo
11
Lin says: after 10 years the garden holds 1200 coins, because Kai saved 120 a year. What did Lin forget?
The 707 coins the garden grewThe pouches Kai droppedYear one
12
In year nine the garden adds 136 coins. Kai saves 120. The garden adds coins more than Kai saves.
13
Write one small thing you could do steadily. What might it add up to after a month?
14
Draw a pouch of coins and a small tree growing out of it.
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