yonjuu 四十
About Yonjuu
Yonjuu (meaning the number 40 in the Japanese language) is a fun math game developed by Hattennoki’s founder Jaspreet Sethi to build number sense, logical reasoning, and strategic thinking in children 3+ years and grown-ups. To buy Yonjuu, please click here. For bulk orders, please reach out to jaspreet@hattennoki.com or contact us at +91 8310426203.
Objective of the basic version of the game
Reach the target number of 40 (Yonjuu) using all the cards distributed.
Setup
Minimum players: 2
Maximum players: 6
If there are more than 2 players, seat them in a circle.
Gameplay
The game has three levels: Level 1, Level 2, and Level 3.
Level 1 is the basic version of the game (also see youtube video above).
Level 1 - Basic Version Instructions without Trump Cards
1. A player shuffles the deck and distributes 6 cards to each player face down.
2. The remaining cards are kept in a draw pile.
3. Players then place their 6 cards face up on a flat surface for personal viewing.
4. Players check the sum of their 6 cards before beginning to play.
5. Players take turns to pick a card from the draw pile and check if the card helps them get closer to the target number (40).
6. If the card helps, the player keeps it and replaces one card from their set of 6 in a separate discard pile face down.
7. If a player cannot make a move that gets them closer to the target number, they must put the card back in the discard pile.
8. All players must continue playing in sequence and resetting their six cards as needed to reach a sum of the target number.
9. To win, a player must reach the target number first and shout "Yonjuu" while revealing all their 6 cards for show.
10. If all the cards from the deck finish, shuffle the discard pile to reuse the cards to pick from.
11. If a player shouts "Yonjuu" by mistake and hasn't reached the target number, they are considered out, but the rest of the players can continue playing.
12. If no one reaches the target number with one reshuffle of the discard pile and a replay, the player with the highest sum wins.
Level 2 Instructions with Trump Cards
Level 2 requires the use of trump cards that, when drawn, cause the coloured cards to have a negative value.
For example, if a player has 39 points with green included, they are almost about to make a Yonjuu. However, when they draw a card, if they get a green trump card, all the greens become negative. Imagine the green cards to have a total sum value of 13. Excluding these greens, the player has 39 - 13 = 26 points. With the greens becoming negative, the player actually has only 26 - 13 = 13 points! If another trump card is drawn, it supersedes the previous one, and all players must immediately adjust their calculations to reflect this new change, ignoring the previous trump card.
Level 3 Instructions - Advance Yonjuu
Level 3 of the game allows the use of mathematical operations other than addition to make a Yonjuu.
For example, if you have 8, 4, 10, 10, 9, 4, you could make a 40 like this:
(8 * 4) + (10% of 10) + (square root of 9) + 4 = 40
32 + 1 + 3 + 4 = 40
Or
If you have a 10, 7, 4, 2, 5, and 3, you could
(10 mod 7) * (4^2) – (5+3) = 40
(3*16) – 8 = 40
The community of Yonjuu players is called Yonjuu-Jeen. Happy playing, Yonjuu-Jeens! The cards and the Yonjuu game are very versatile, and we encourage all Yonjuu-Jeens to come up with their own versions of the game as they become more proficient players.
Variations
The game can have variations such as selecting higher or lower target numbers than 40.
Target numbers can be modified and/or specific colour combinations can be used, such as a sum of 45 without blue, a sum of 24 with only red and blue, or a sum of 30 using only green and black cards.
Alternately, 4 cards instead of 6 can be used with mathematical operations beyond addition. For example, you can make 40 with 4 cards 2, 5, 7, and 10 as follows: (10 divided by 2) + (5 times 7)
Some possible ways to make 40 using 6 cards using only addition (there are more)
10 + 9 + 7 + 6 + 5 + 3 = 40
10 + 9 + 8 + 6 + 5 + 2 = 40
10 + 9 + 8 + 7 + 4 + 2 = 40
10 + 10 + 7 + 6 + 5 + 2 = 40
10 + 8 + 8 + 7 + 7 + 0 = 40
9 + 9 + 8 + 7 + 6 + 1 = 40
9 + 9 + 7 + 7 + 6 + 2 = 40
9 + 9 + 6 + 6 + 6 + 4 = 40
9 + 9 + 8 + 7 + 5 + 2 = 40
8 + 8 + 8 + 8 + 6 + 2 = 40
8 + 8 + 8 + 7 + 7 + 2 = 40
8 + 8 + 8 + 7 + 6 + 3 = 40
8 + 8 + 7 + 7 + 6 + 4 = 40
7 + 7 + 7 + 7 + 7 + 5 = 40
7 + 7 + 7 + 7 + 6 + 6 = 40
Advance Yonjuu Possibilities
For advanced players, upon prior mutual agreement, several other valid mathematical operations such as mod, square root, exponent, percentages, and the like can be used. Below are just a few examples:
(10 + 10) – (0 ÷ 6) + (4 * 5) = 40
(8 * 4) + (10% of 10) + (square root of 9) + 4 = 40
(10 mod 7) * (4^2) – (5+3) = 40
Yonjuu Adaptations for Early Years
The same cards can be used to develop number sense and build numeracy in young children. Below are just a few examples:
Recognize, organize, and classify the cards on the basis of colors/shapes/numbers/magnitude.
Find two cards with a sum of 5.
Find two cards with a difference of 2.
Identify cards that make partners of 3-10.
Use any 2 or more of the 6 cards distributed in creative ways to make a number higher than 10.
Use the cards to understand place value and build numbers under 50.
Ways to Introduce Yonjuu Cards to Beginners (Pre-Game Play Tasks)
1. Let them identify the cards and their shapes and colors.
2. Give them a card. Let them identify what number comes before and what comes after.
3. Give them two cards. Ask them which one is bigger and which one is smaller. The number of shapes in the frames will help them visually understand magnitude.
4. Give them a card. Let them build the same value on the card using unifix cubes, Legos, or blocks.
5. Start giving them two cards to compare differences or sums by asking, "How many in all?" "How many altogether?" "How many shapes in all?" "How many more (pentagons) than (squares)?" "How many less (triangles) than (circles)?" "What does this 3 need to become a 5?"
All of these are standalone tasks, and one task may be focused on at a time.
If the player has progressed beyond this stage, you can move on to the next level, which looks something like this:
1. Ask them to verbally identify the partners of 10 for any card distributed. (Partners of 10 are numbers that add up to 10, such as 6 and 4, 3 and 7, as well as 5 and 3, and 2, to name a few.)
2. Another task is to randomly give them 4 cards and have them identify any two cards that have a difference of 0 (i.e., the same number but different colors).
3. Next, give them 4 random cards and ask them to identify any two cards that have a difference of 1 (e.g., 5 and 6, 8 and 9).
4. Then, have them identify any two cards that have a difference of 2 (e.g., 5 and 7, 8 and 10), and so on.
5. Arrange the cards in ascending and/or descending order.
7. Find the difference between the highest and lowest cards that were distributed.
8. Gradually introduce the concept of finding the sum of the 6 cards distributed by first identifying partners of 10 within the cards.
All of these are standalone tasks, and one task may be focused on at a time.
For more ideas, do check our Yonjuu Challenges page, our CENTA webinar on Yonjuu, and also visit our Youtube Channel.
We are delighted to share our schools featuring Yonjuu!
We are now on Amazon!
*Yonjuu is trademarked and registered.