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Money · Ages 10+ · Set A
The pay-later pile-up
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Remember: Small pay later parts can pile into one big month. Pay later does not make things cheaper. It only moves the paying, so check the parts, the dates and any late fee.

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Dara's four small plansIn the pretend town of Lark Lane, Dara spotted a shirt for eight coins, and the shop said, "Pay later! Four equal parts, one a month, and the first today." Eight coins in four parts is two coins a part. Dara got twelve coins a month, so paying two felt like nothing, and the thought came, "Why not do it again?" In month two came a game for twelve coins, in four parts of three. In month three came headphones for sixteen coins, in four parts of four. In month four came a bag for four coins, in parts of just one, and one coin surely could not matter, but the other three plans were still running. All four bills arrived on the same day, two, three, four and one, and together they made one bill of ten coins, ten of Dara's twelve! That left Dara just two coins for everything else that month, and each bill looked small, so nobody had added them up. Pay later did not make anything cheaper. It only moved the paying later. Dara wrote every part on one calendar, so the hill of bills was easy to see.
1
The shirt costs 8 coins in 4 equal parts. Each ring is one part, so a part is coins.
2
Month 2 has two bills. Look at the table. The total due is coins.
3
In month 3 three bills land together: the rings show 2, 3 and 4. That makes coins.
4
In month 4 the bag adds a part of 1 coin. How many coins fall due in month 4 in all?
7 coins12 coins10 coins
5
Dara gets 12 coins a month. Month 4 takes 10, so coins are left for everything else.
6
Join each buy to its part each month.
  1. 1The shirt, 8 coins
  2. 2The game, 12 coins
  3. 3The headphones, 16 coins
  4. 4The bag, 4 coins
  • A1 coin
  • B4 coins
  • C2 coins
  • D3 coins

Add up, fix and plan

7
Add the four prices: 8, 12, 16 and 4. What do all four buys cost?
36 coins40 coins44 coins
8
Number the buys in the order Dara made them.
  • The shirt
  • The headphones
  • The bag
  • The game
9
Circle every thing pay later does.
Splits a price into small partsMakes the thing cost fewer coinsMoves the paying to later monthsStops the bill from comingLets plans overlap into one month
10
Dara says: one coin cannot matter, so the bag changes nothing in month 4. Is Dara right?
YesNo
11
The bills in months 1 to 6 are shown. All four buys cost 40, so the bill in month 7 is coin.
12
Write one thing to check before saying yes to a pay later plan.
13
Draw four small stacks of coins for month 4: 2, 3, 4 and 1.
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Answer key · Set A
The pay-later pile-up
12 8 ÷ 4 = 2 coins a part.
25 2 + 3 = 5. The shirt's part and the game's part land together.
39 2 + 3 + 4 = 9.
410 coins 2 + 3 + 4 + 1 = 10. The other three plans are still running.
52 12 − 10 = 2.
61-C, 2-D, 3-B, 4-A Each price is split into 4 equal parts: 8 ÷ 4, 12 ÷ 4, 16 ÷ 4 and 4 ÷ 4.
740 coins 8 + 12 + 16 + 4 = 40. Pay later does not lower a price.
81, 3, 4, 2 First the shirt, then the game, then the headphones, and last the bag.
9Splits a price into small parts, Moves the paying to later months, Lets plans overlap into one month Pay later splits a price, moves the paying later and lets parts pile into one month. It does not lower a price or stop the bill.
10No The bag moves month 4 from 9 to 10, leaving Dara only 2 coins.
111 2 + 5 + 9 + 10 + 8 + 5 = 39, and 40 − 39 = 1.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.