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Math Puzzle Fun 4 Solutions

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01

Logic riddles

Page 7Who stands where? · Trio
📖📝 Who stands where? Solution
🐿️ is right at the back.🐰 is right at the front.🐻 is somewhere ahead of 🦊.Who is in which place?🦊3🐿️4🐰1🐻2
🦉 is somewhere ahead of 🦊.🐰 is right at the back.🦆 is right at the front.Who is in which place?🦆1🦉2🐰4🦊3
🦊 is in place 2.🦊 is somewhere ahead of 🐻.🐰 is right at the back.Who is in which place?🐰4🐻3🦊2🐿️1

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🔍📝 Find the trio Solution
123456Shape: sameNumber: differentShading: different
123456Shape: sameNumber: differentShading: different
1234567Shape: differentNumber: sameShading: different

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Page 8Winning move · Puzzle piece
🔍📝 Find the winning move Solution
139
2
3
68
16

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🔍☑️ Which piece is missing? Solution

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Page 9Logic grid · Machines
📖📝 Work out who has which number Solution
Ben does not have the 2.Ben has a smaller number than Mia.239Mia9Tom2Ben3
Ben has a smaller number than Mia.Ben and Mia have 13 together.3510Mia10Tom5Ben3
Mia has a bigger number than Tom.Tom has a bigger number than Ben.5710Mia10Tom7Ben5
Ben and Mia have 11 together.Ben does not have the 6.5610Mia6Tom10Ben5

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📖📝 Which number fits all the displays? Solution
The number is odd.You can count tothe number by 5s.The number isgreater than 17.The secret number:10
You can count tothe number by 3s.The number issmaller than 10.The number is odd.The secret number:6
The number issmaller than 4.The number iseven.You can count tothe number by 3s.The secret number:1

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Page 10Who stands where? · Trio
📖📝 Who stands where? Solution
🦉 is directly ahead of 🦊.🐿️ is right at the back.🐻 is in place 2.Who is in which place?🦆1🐻2🦉3🦊4🐿️5
🦉 is right at the front.🐰 is in place 3.🦆 is directly ahead of 🐻.Who is in which place?🐻5🦉1🐿️2🐰3🦆4
🐻 is in place 3.🦊 is directly ahead of 🐻.🦉 is directly ahead of 🐿️.Who is in which place?🐰1🦊2🐻3🦉4🐿️5

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🔍📝 Find the three matching cards Solution
1234567Shape: differentNumber: differentShading: different
1234567Shape: sameNumber: differentShading: different
1234567Shape: differentNumber: differentShading: different

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Page 11Winning move · Puzzle piece
🔍📝 Set up a double threat Solution
258
258
123
357
456
456

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🔍☑️ Which piece fits the gap? Solution

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Page 12Logic grid · Machines
📖📝 Solve the grid with bigger and smaller Solution
Ben has a smaller number than Mia.Tom has a bigger number than Ben.Tom does not have the 5.2510Mia5Tom10Ben2
Ben has a smaller number than Mia.Tom does not have the 10.Tom does not have the 9.91016Mia10Tom16Ben9
Tom does not have the 8.Tom does not have the 10.Mia has a bigger number than Ben.6810Mia10Tom6Ben8
Tom does not have the 4.Mia does not have the 8.Mia has a bigger number than Ben.4812Mia12Tom8Ben4

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📖📝 Find the secret number Solution
The number iseven.The number has twodigits.You can count tothe number by 5s.The secret number:15
The number iseven.The number isgreater than 16.You can count tothe number by 5s.The secret number:10
You can count tothe number by 3s.The number has twodigits.The number iseven.The secret number:6

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Page 13Who stands where? · Trio
📖📝 Who is in place 1, 2, 3 and 4? Solution
🐿️ is directly ahead of 🦉.🐻 is in place 3.🐰 is right at the back.Who is in which place?🦉2🐰5🐻3🐿️1🦆4
🐰 is right at the front.🦆 is directly ahead of 🐿️.🦉 is in place 3.Who is in which place?🦉3🐻2🐰1🦆4🐿️5
🦊 is in place 3.🐻 is directly ahead of 🐿️.🦆 is right at the back.Who is in which place?🐰4🦆5🦊3🐿️2🐻1

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🔍📝 Find the trio with three features Solution
1234567Shape: differentNumber: differentShading: different
1234567Shape: sameNumber: differentShading: different
1234567Shape: sameNumber: differentShading: same

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Page 14Winning move · Puzzle piece
🔍📝 Block and set up a double threat Solution
16
348
23
236
49
248

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🔍☑️ Find the matching puzzle piece Solution

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Page 15Logic grid · Machines
📖📝 Tricky: who has which number? Solution
Mia does not have the 12.Ben has a smaller number than Mia.Tom does not have the 9.91214Mia14Tom12Ben9
Ben does not have the 6.Mia has a smaller number than Tom.Tom does not have the 6.2617Mia6Tom17Ben2
Ben has a smaller number than Mia.Tom does not have the 11.Ben has a smaller number than Tom.31114Mia11Tom14Ben3
Mia does not have the 10.Ben does not have the 10.Tom has a bigger number than Ben.21019Mia19Tom10Ben2

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📖📝 Which number fits three machines? Solution
The number issmaller than 17.The number isgreater than 14.The digits add upto 7.The secret number:15
The number has twodigits.You can count tothe number by 3s.The number is odd.The secret number:6
The number iseven.The number issmaller than 14.You can count tothe number by 3s.The secret number:18

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02

Shapes and paths

Page 17Top view · Dominoes
🔍☑️ Which top view belongs to the tower? Solution
213231131333122132123
222112123211221221123
121321113132121323213

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🔍📝 Which domino fits the gap? Solution
1234
1234
1234
1234
1234
1234

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Page 18In one stroke · Hidden face · Tangram
🔍☑️ Can you draw this in one stroke? Solution
yes
no

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🔍🧮 Which number is facing down? Solution
+=8
+=5
+=3
+=7
+=5
+=7
+=4
+=7
+=6

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🔍☑️ Check off the pieces that make the picture Solution

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Page 19Common picture · Top view
🔍⭕ Quick! Find the shared picture Solution
🐶💎🍇🌳⛄🚗🦁🐞🎈🍒🌙🍌⭐💎🌸👕
🦁🐻🐶🐱🍌⛄🦆🌙🐭🍇⚡🥕🐝🍌🥚🔔
🐟🦁🐦🐭⚽🧢🥕🐶🦁🍎🌳🐞💎🔔🦆🍇
🚗🌙🌞🐻🐶⭐🍌🦋🦁🎈🦋🐞🧦🌳⚡🔔
🐶☁🐟🦆🍇🔥⚡🐭🎈🥚⚡🌵⛄🐱🥕🧢
🎈🦆⚽🍎🐻🔥🐰🍋🔥🌸🔔🍄🌵🌙🐝☁

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🔍☑️ Which plan matches the tower? Solution
123312121332122131233
321132213112331223123211322313
231231211321231212231213213

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Page 20In one stroke · Towers · Magic picture
🔍☑️ Can you draw this in one stroke? Solution
yes
no

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👆🎨 Draw all possible towers Solution
2 blocks per towerNumber of towers?2
2 blocks per towerNumber of towers?6
3 blocks per towerNumber of towers?6

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🎨 Which number appears in the grid? Solution
18ABCDEFGHI1234513ABCDEFGHI12345

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Page 21Common picture · Dominoes
🔍⭕ How fast can you find the same picture? Solution
🐟🦆🐶👕⚽🐻🔥💎🦉🌙🌞🐝🐭🐻🌵🍎
⚡👕🌸🦉🎈🍀🧢🔔🌞🌵⛄⭐🦆🥚🚗🌸
☁🐻🦋🐝🧢🎈⚡🎁🌵🚗🧢🐦🍓🦁🧦🍀
🔔🐰🥕🎁⚡🐭🔥🐞🐱🎈🐝⚽🦋🐦🍄🎁
🍋🐟🐞🐻💎🐶☁🌙🌵🌞🍎🐦🦋🐻🔥🌸
🥕🍋🔥🌵🍓💎🧢🐦⚽🍇🚗🐞🔥🐶🐻🌞

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🔍📝 Find the missing domino Solution
1234
1234
1234
1234
1234
1234

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Page 22Top view · Flipped dice
🔍☑️ Match tower and top view Solution
331232112133121211223212121113
113123323121311332321111232233
121123123112132312221221231233
331331131123133213122313321333
221231331122123132122212313113
332233233131223321323322332133

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🔍🧮 Puzzle: Flip the dice! Solution
+=5
−=5
−=1
+=5
−=1
−=2
+=11
−=1
−=4
+=9
−=4
+=8
−=1
−=2
+=6

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Page 23In one stroke · Matchsticks · Tangram
🔍☑️ Draw without lifting the pen: possible? Solution
yes
no
yes

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🔍🧮 Move one matchstick Solution
+=+=
−=−=

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🔍☑️ Find the pieces that fill the silhouette Solution

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Page 24Common picture · Dominoes
🔍⭕ Lightning fast: Find the hidden picture Solution
🐱🍎🎈👕🐦🍇🐭⛄🐦🌳🎁🥕🐻🦆⚽🍀
🐰🌞🎈🦉🌙🌸🍎🧢🧢🥕🐱🧦🔔🚗🔥☁
🦆🌸🍄🐶🐦⚡🥚🌵⚽🍒🦉🍇🧦👕🌳🦆
🦆🥚🐻⛄🐝🦋🔥🌙🌞🐻👕🧦🐶🌳🦁🐞
🐱🧦🎈🔔🌳🐝🍇🍌🐦🥕🍒🌸🍀🍌🚗👕
🔔🌳🌞🍌🔥🎈🍀🍇🐦🌞🐻🐶⚽🦉🍒🍄

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🔍📝 Close the chain Solution
1234
1234
1234
1234
1234
1234

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03

Grid puzzles

Page 26Number cages · Rectangle puzzle
🔍📝 Fill the cages with the right numbers Solution
1322133213456
31223112343542
2133211326435
3121232316741
2133211325463
1232313123861
31223112333453
31212323135514

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✖️📍 Rectangles in the Big Grid Solution
66631032
842123232
22122422622
5522626332
38963232
36610353

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Page 27Number snakes · Bridges
🔍🔗 Connect matching numbers, no crossing! Solution
112233
112233
112233
112233
112233
112233

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🔍🔗 Build the bridges Solution
342313
121341
115421
2231231

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Page 28Guard wall · Number path
🔍🧮 Never short of a torch: how few are enough? Solution
6→←14+289+6147−591+1106−915
3→←12+5810+4125−931+5810−715
15→←20+5206−8121+3159−5106−9111
11→←6−651+277+295−813+5611
17→←13+3204−6141−957−4116+7820
10→←5+2125+2143−591−816+91014

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🗺️📝 The path from 1 to 16 Solution
16151413167122581134910
87219631610541511121314
10111213987142361514516
16541156321478913121110
10923118141276513141516
13121110143491525816167

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Page 29Lights out
🔍⭕ Press the lamps so they all go out Solution
Press
Press
Press
Press
Press
Press

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Page 30Sliding robot · Road map
🗺️📍 Three moves to the target Solution
3 moves
3 moves
3 moves
3 moves
3 moves
3 moves

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➕⚖️ Low tolls to the tower Solution
You pay the least toll:98=1728=1033=6
You pay the least toll:82=10104=1434=7
You pay the least toll:99=1868=14105=15
You pay the least toll:53=882=10107=17

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Page 31Number cages · Rectangle puzzle
🔍📝 Watch the small number in the corner Solution
143221433214432133119473
31244213234114326937834
42313142142323146671164
12432431312443126774934
4231231414233142788683
24134132132432417766653

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✖️📍 Which Shape Fits Here? Solution
8422812
12456324
61282242
849312
266833332
3634833222

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Page 32Number snakes · Bridges
🔍🔗 Draw the snake to its partner Solution
11223344
11223344
11223344
11223344
11223344
11223344

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🔍🔗 Build more bridges Solution
32313
311212
12131
463432

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Page 33Guard wall · Lights out
🔍🧮 The long patrol Solution
18→←17−991−7210+6817−7111+91018−829
3→←11+71015+7178−5121−666−5112+6717
13→←14+3164−4121−2105−917+6716−4310
9→←12+3124−751−238+1410+599−814
14→←19+6207−9111−6510−4116+4520−3216
19→←15−7121−938+5817−7112+6719−2513

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🔍⭕ Put out more lamps Solution
Press
Press
Press
Press
Press
Press

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Page 34Rectangle puzzle · Sliding robot
✖️📍 The Last Split Solution
6498423
8101224
1210212
84612222
6292243332
12369222

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🗺️📍 Four moves - the long way Solution
4 moves
4 moves
4 moves
4 moves
4 moves
4 moves

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04

Codes and secrets

Page 36Program cards · Number lock
🔍🧮☑️ Who gets higher? Solution
6Euli+ 23 times+ 22 times16✓Numerion+ 23 times+ 214✗
6Euli+ 23 times+ 113✗Numerion+ 1+ 62 times19✓
3Euli+ 52 times+ 417✗Numerion+ 6+ 33 times18✓

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📖📝 Find the code from the clues Solution
3Position 3 holds a number smaller than 4.3Position 3 holds a number greater than 1.−Position 1 is 2 greater than position 3.3Position 3 holds an odd number.+All the numbers together make 13.152533
+All the numbers together make 12.3Position 3 holds a number greater than 2.2Position 2 holds a number greater than 4.−Position 2 is 2 greater than position 1.132534
−Position 3 is 3 greater than position 2.−Position 2 is 1 greater than position 1.3Position 3 holds an even number.2Position 2 holds a number smaller than 5.122336

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Page 37Secret code · Magic code and more
🔍➕ Crack the secret code Solution
+=16+=13+=10= 5= 8
+=14+=9+=4= 7= 2
+=14+=13++=19= 7= 6

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🔍🧮 Decode the wizard writing Solution
🌟 = 6🌙 = 4⚡ = 8🦉 = 5
🦉−🌙=1
⚡+🦉=13
🦉+🦉=10
🌟+🦉=11
🌟−🌙=2
⚡−🌟=2
🌙+🌙=8
🌙+🦉=9
🌙+⚡=12

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📖📝 What day of the week is it? Solution
Today is Friday. What day will it be in 9days?MonTueWedThuFriSatSun+9Sunday
Today is Monday. What day will it be in 13days?MonTueWedThuFriSatSun+13Sunday
Today is Saturday. What day will it be in 9days?MonTueWedThuFriSatSun+9Monday
Today is Saturday. What day will it be in 20days?MonTueWedThuFriSatSun+20Friday

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🔍🧮 Which calculations are wrong? Solution
10−3=18−13→✗
10+9=5+14
15−10=17−14→✗
12−2=5+6→✗
6+10=2+14
15+3=4+12→✗
17−2=8+6→✗
12+4=7+7→✗

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Page 38Picture puzzle · Stained glass
👆🎨 Color in the picture Solution
1353113531Diamond
1151111511Cross
5111111551 11 11 15Frame
11511131 1 111Arrow
1252113511Tree
3454355531Cup

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🔍📝 Build the Church Window Solution
1432321443212143
4123234112343412
1234214334214312
4231142323143142
2431421331421324
1423314223144231

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Page 39Program cards · The stone tablet
🔍🧮 Which command is on the card? Solution
3inProgram+ 22 times+ 6+ 417out
4inProgram+ 2+ 42 times+ 115out
2inProgram+ 4− 4+ 63 times20out

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📖🧮📝 Numbers made of stone Solution
VII − VI =I7 − 6 = 1
XIX − VI =XIII19 − 6 = 13
XVI − IX =VII16 − 9 = 7
XVI − II =XIV16 − 2 = 14
XIII + II =XV13 + 2 = 15
V − II =III5 − 2 = 3

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Page 40Secret code · Magic code and more
🔍➕ The master code Solution
++=15++=18+=11= 4= 7
++=14++=13+=9= 5= 4
++=14++=13+=9= 4= 5

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🔍🧮 First find the missing numbers Solution
🌟 = 4🌙 = 7⚡ = 3🦉 = 9
🌟+🌟=8
🌟+🌙=11
🌙−🌟=3
🌟+🌟=8
🌟+🦉=13
🌙+🌟=11
🌟+⚡=7
⚡+🌟=7
🦉−🌟=5

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🔍🧮 Find the wrong calculations Solution
10−9=11−10
16−14=13−10→✗
5+8=7+5→✗
18−17=19−16→✗
7−4=9−7→✗
13−11=9−7
5+11=6+12→✗
3+13=19−2→✗

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🔍🧮 Which number is facing down? Solution
++=10
++=8
++=8
++=12
++=9
++=11

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Page 41Heroes · Number lock
🔍➕ Choose head, body and legs Solution
The hero must be exactly as strong as the villainVillainPick one of eachHero424624247721371Strength10Strength10
The hero must be exactly as strong as the villainVillainPick one of eachHero613885468892474Strength20Strength20

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📖📝 Write in the three-digit code Solution
+All the numbers together make 20.≠All the numbers are different.3Position 3 holds an odd number.−Position 3 is 1 greater than position 1.182339
3Position 3 holds a number smaller than 5.+All the numbers together make 14.3Position 3 holds an odd number.−Position 3 is 1 greater than position 2.192233
−Position 1 is 1 greater than position 3.3Position 3 holds an even number.+All the numbers together make 14.1Position 1 holds a number greater than 5.172136

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Page 42Search picture · Program cards
👆➕ How often does each number appear? Solution
268596452413466924175713The 2 appears 3 times, in total they make 6The 5 appears 3 times, in total they make 15
834917634798453724868643The 3 appears 4 times, in total they make 12The 4 appears 5 times, in total they make 20
666138394533871476314713The 1 appears 4 times, in total they make 4The 3 appears 6 times, in total they make 18

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🔍🧮 Work out the long program Solution
7inProgram+ 23 times− 42 times+ 611out
1inProgram+ 6+ 33 times+ 117out
6inProgram+ 22 times+ 22 times+ 418out

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Page 43The stone tablet · Picture puzzle
📖🧮📝 What did the tablet say? Solution
VII + X =XVII7 + 10 = 17
XII + VIII =XX12 + 8 = 20
V + XII =XVII5 + 12 = 17
XIV − V =IX14 − 5 = 9
VI + VIII =XIV6 + 8 = 14
XIII − XII =I13 − 12 = 1

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👆🎨 Which Picture Appears? Solution
244421 15531Heart
31251231351 1 15House
213513235513Mushroom
11333111531 11 1Star
11151111311 1 13Anchor
22333221 15351 1Butterfly

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05

Games and strategy

Page 45Four in a row · Chutes and ladders
🔍☑️ Find the winning column Solution
1234567
1234567
1234567
1234567
1234567
1234567
1234567
1234567

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➕📝 Ladders and slides Solution
1Start234567891011121314151617181920★ 2 back★ 2 backLadder (only up) · Slide (only down) · Star square (jump)116→24→34→415→517→63→74→88→

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Page 46Oracle cards · Knight's move
📖📝 Find the hidden number Solution
84♠♠One is double
66♠♠Both the same
36♠♠Difference = 3
25♠♠Sum = 7
47♠♠Sum = 11
11♠♠Both the same
1010♠♠Both the same
63♠♠Sum = 9

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🔍📝 The knight's move Solution
♞123
♞123
♞123
♞123
♞123
♞123

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Page 47Robot slot · Treasure chest
🧮📝 The big workshop Solution
◀ = Difference = 1 − ▶142345
◀ − Difference = 1 = ▶123145
◀ − Difference = 1 − ▶1232415
◀ = Difference = 2 + ▶123453

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👆📝 Fill the treasure chest Solution
0
0
4
3

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Page 48Whose turn? · Fruit bell
⚖️📝 Whose turn is it first? Solution
Who choosesfirst?32.41.23.
Who choosesfirst?82.91.13.64.
Who buildsfirst?92.33.11.
Who buildsfirst?54.73.31.12.
Who buildsfirst?81.23.32.44.
Who buildsfirst?71.42.33.64.

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👆➕ Are exactly 5 left? Solution
🍋🍋🍋🍎🍎🍓🍋🍋🍓🍓🐛−1 🍓🍌🍌🍋5🍎2🍓2🍌2🔔yes
🍓🍓🍓🍌🍋🍋🍋🍋🐛−1 🍓🍓🍓3🍌1🍋4🔔no
🍌🍌🍓🍓🍓🍓🍋🍌🍋🍋🍌3🍓4🍋3🔔no
🍌🍌🍌🐛−2 🍓🍎🍎🍓🍓🍓🍓🍓🍓🍌3🍓4🍎2🔔no

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Page 49Council · Four in a row
📖➕ Pick the wise decisions Solution
Every decision brings coins but costs favor.Choose 2 decisions to get exactly 17 coins.Favor is 10 now, never below 3.1. Charge a bridge toll5 coins4 favor2. Rent out the tower4 coins4 favor3. Collect a toll11 coins6 favor4. Lease the mill12 coins2 favor5. Lease the mill12 coins5 favorThese decisions:17 coins6 favorFavor after:4
Every decision brings coins but costs favor.Choose 2 decisions to get exactly 15 coins.Favor is 10 now, never below 4.1. Rent out the tower6 coins6 favor2. Lease the fish pond9 coins5 favor3. Collect a toll12 coins1 favor4. Lease the mill9 coins3 favor5. Lease the meadow3 coins4 favorThese decisions:15 coins5 favorFavor after:5

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🔍☑️ Which column wins? Solution
1234567
1234567
1234567
1234567
1234567
1234567
1234567
1234567

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Page 50Chutes and ladders · Oracle cards
➕📝 Up, down and jump Solution
1Start234567891011121314151617181920★ 3 ahead★ 4 backLadder (only up) · Slide (only down) · Star square (jump)115→23→315→44→58→611→79→87→

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📖📝 Which card fits? Solution
1081 ♠1 ♠Sum = 182 ♥2 ♥Sum odd3 ♦3 ♦One is double
3101 ♠1 ♠Sum odd2 ♥2 ♥Sum at least143 ♦3 ♦Both the same
421 ♠1 ♠Sum odd2 ♥2 ♥Both the same3 ♦3 ♦Sum at most 17
621 ♠1 ♠Sum at least162 ♥2 ♥Difference atleast 43 ♦3 ♦Sum = 20

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Page 51Knight's move · Robot slot
🔍📝 Two jumps Solution
♞123
♞123
♞123
♞123
♞123
♞123

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🧮📝 Where does the robot fit? Solution
◀ − Sum = 9 = ▶412345
◀ − Sum = 8 − ▶1233455
◀ + Sum = 7 + ▶1233445
◀ = Sum = 6 − ▶121345

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06

Puzzle masterpieces

Page 53Combinations · Magic triangle · Mini sudoku
👆 How many robots? Solution
roundsquarepointyfilledemptystripeddottedHow many different robots can you build?12How many robots have a round body?4The empty head and the square body are broken. How many robots can you still build now?6All parts are fixed again, and a new body is added. How many robots can you build now?16

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➕ Complete the magic triangles Solution
3461078
4102139
71012811
763598

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🔍📝 Fill in the number grid Solution
3142243113244213
3421214343121234
3214412313422431

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Page 54Number tower · Balance puzzle
➗➕ The number tower Solution
Blocks:4711358417
Blocks:23916511329
Blocks:26919811629
Blocks:18919109918
Blocks:312945132
Blocks:14716115741

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🔍➕ How heavy is the empty box? Solution
81999
72577
64349
29166

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Page 55Honeycomb · Magic square · Number square
🔍➕ Every larva gets its number Solution
3A2A3B1A14 A15 B5B6A2A7B
1A6B2B1A13 A12 B3B8A3A1B
1A4A5B4A14 A7 B2B5A16 C5C9C2C
8A6B1B4A12 A8 B1B6C15 C6C1C2C
5A4A6B2A15 A16 B6B4A16 C4B9C7C
2A3A2B3A8 A7 B5B3C14 C9C1C1C

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➕ Three squares, three target sums Solution
Sum → ↓ ↘ ↗ = 1581635749213679
Sum → ↓ ↘ ↗ = 18927468510324679
Sum → ↓ ↘ ↗ = 127052463811347

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➕ Fill in the missing numbers on the scroll Solution
6541263261591110916+
435464631121410141210+
25361142210881286+

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Page 56Share fairly · Golem cards
➗ Share it out: does it work out? Solution
🧒👧👦🧑🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁each one gets 4 · left over 0
🧒👧👦🧑🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪each one gets 3 · left over 0
🧒👧👦🧑🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁🧁each one gets 3 · left over 2
🧒👧👦🧑🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓each one gets 2 · left over 3
🧒👧👦🧑🍎🍎🍎🍎🍎🍎🍎🍎each one gets 2 · left over 0
🧒👧👦🧑🍪🍪🍪🍪🍪🍪🍪each one gets 1 · left over 3
🧒👧👦🧑🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓each one gets 2 · left over 2

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➕ Put the feet in the right places Solution
253477=14
273699=18
172688=16

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Page 57Winter rations · Number tower
➖➗ Rations for the winter Solution
Supply: 16 sacksThe empty months all get the same amount. At the end, thesupply is used up.November2 sacksDecember2 sacksJanuary6 sacksFebruary6 sacks
Supply: 16 sacksThe empty months all get the same amount. At the end, thesupply is used up.November4 sacksDecember4 sacksJanuary4 sacksFebruary4 sacks
Supply: 20 sacksThe empty months all get the same amount. At the end, thesupply is used up.November3 sacksDecember3 sacksJanuary7 sacksFebruary7 sacks
Supply: 14 sacksThe empty months all get the same amount. At the end, thesupply is used up.November3 sacksDecember5 sacksJanuary3 sacksFebruary3 sacks

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➗➕ Number tower without a top Solution
Blocks:4511156415
Blocks:1213173142113
Blocks:3131201641331
Blocks:1216203172116
Blocks:1315204163115
Blocks:1271138217

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Page 58Magic triangle · Mini sudoku · Honeycomb
➕ Only two numbers given Solution
52411129
672489
358724
81101192

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🔍📝 The hard number grid Solution
2314143241233241
1243342143122134
2431134231244213

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🔍➕ Everyone gets the same Solution
3A3B5B7A16 A16 B8B6A16 C7C6C3C
6A6A8B7A19 A19 B8B6C19 C3B8C5C
9A9B4B9A20 A20 B7B2A20 C6C9C5C
8A3A8B8A19 A19 B9B8C19 C2B7C4C
6A8B3B6A16 A16 B5B4A16 C6C3C7C
6A9A9B3A18 A18 B7B4C18 C2B5C9C

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Page 59Share fairly · Dungeon
➗ What is left over? Solution
🧒👧👦🧑🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎each one gets 3 · left over 3
🧒👧👦🧑🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎each one gets 3 · left over 1
🧒👧👦🧑🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌each one gets 4 · left over 2
🧒👧👦🧑🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓each one gets 5 · left over 0
🧒👧👦🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕🥕each one gets 5 · left over 2
🧒👧👦🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓🍓each one gets 4 · left over 1
🧒👧👦🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪each one gets 6 · left over 0

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🗺️ Escape the dungeon! Solution
7169201215202418111617672099137713176716510183515911− 18+ 7+ 7− 1+ 3+ 2− 7− 3+ 1
181022019131512161122165731720109418014191891618815511+ 3+ 2− 13− 1+ 1− 1+ 8+ 9− 13

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07

Giant numbers

Page 61Number safe · Fraction pizza
🔍📝 The number safe Solution
Th2H9T1O8• The hundreds digit is 9.• The thousands digit is 2.• The thousands digit is twice the tens digit.• The digit sum is 20.
Th5H8T4O1• The hundreds digit is 8.• The thousands digit is 5.• The hundreds digit is twice the tens digit.• The number is divisible by 9.
TTh9Th7H4T2O9• The thousands digit is 7.• The hundreds digit is 4.• The digit sum is 31.• The hundreds digit is twice the tens digit.

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📖📝 The pizza gang Solution
5
3
4
12

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Page 62Digit detective · Test cards
🔍📝 Where are the digits? Solution
922×76454
374×72618
373×72611
651×74557
6796×747572
5838×317514

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📖📝 Three cards, one giant number Solution
120,112134,076622,365896,363957,183• less than 900,000• divisible by 3• greater than 150,000
376,926553,746809,258830,925849,461• greater than 400,000• even number• divisible by 3
284,777314,608385,236641,749854,508• less than 400,000• thousands digit is 4• greater than 300,000
420,573511,104605,575807,552881,037• less than 800,000• divisible by 3• hundreds digit is 5

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Page 63Number safe · Fraction pizza
🔍📝 A bigger safe Solution
TTh6Th8H1T4O6• The tens digit is 4.• The ten-thousands digit is 6.• The hundreds digit and the thousands digit add up to 9.• The thousands digit is twice the tens digit.• The digit sum is 25.
TTh8Th9H6T9O5• The hundreds digit is 6.• The ten-thousands digit is 8.• The number is divisible by 5.• The digit sum is 37.
HTh2TTh9Th6H1T9O5• The thousands digit is 6.• The hundred-thousands digit is 2.• The tens digit and the ten-thousands digit add up to 18.• The hundred-thousands digit is twice the hundreds digit.• The digit sum is 32.

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📖📝 Who eats the rest? Solution
7
4
12
20

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Page 64Is it worth it? · Digit detective
➗☑️ Which machine pays off first? Solution
🛠️ 240,000 : 30,000 = 8🔋 150,000 : 25,000 = 6 ✓
🚛 360,000 : 60,000 = 6 ✓🪣 200,000 : 25,000 = 8
🧰 140,000 : 20,000 = 7🚁 210,000 : 35,000 = 6 ✓
🛰️ 480,000 : 60,000 = 8 ✓🔭 180,000 : 20,000 = 9
🖨️ 126,000 : 18,000 = 7 ✓🧪 112,000 : 14,000 = 8
⛏️ 320,000 : 80,000 = 4 ✓🧲 100,000 : 20,000 = 5
🏗️ 270,000 : 45,000 = 6 ✓🛞 180,000 : 20,000 = 9
🧵 96,000 : 12,000 = 8🪛 245,000 : 35,000 = 7 ✓

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🔍📝 Times and divided Solution
376:8=47
644:7=92
5120:8=640
1267:7=181
7398×966582
4294×730058

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Page 65Fraction pizza · Number safe
📖📝 Pizza masters Solution
6
12
12
12

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🔍📝 The giant safes Solution
HTh5TTh8Th3H7T9O4• The hundreds digit is 7.• The thousands digit is 3.• The hundred-thousands digit is 5.• The ten-thousands digit is twice the ones digit.• The digit sum is 36.
HTh9TTh7Th8H4T9O4• The ones digit is 4.• The ten-thousands digit is 7.• The hundreds digit is 4.• The hundred-thousands digit is greater than the thousands digit.• The digit sum is 41.
HTh1TTh9Th9H5T7O4• The hundreds digit is 5.• The ones digit is 4.• The tens digit is 7.• The number is less than 250,000.• The digit sum is 35.

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Page 66Digit detective · Test cards
🔍📝 The big case Solution
328×2765622968856
155×334654655115
187×345617486358
882:14=63
9021:93=97

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📖📝 Every card counts Solution
125,063351,913628,799820,786936,311• ten-thousands digit is 2• greater than 250,000• odd number
297,829590,181616,670624,437691,992• greater than 300,000• odd number• ten-thousands digit is 9
131,470260,252341,377485,716721,370• greater than 200,000• less than 400,000• thousands digit is 1
152,655300,531406,527551,765759,039• ten-thousands digit is 5• less than 600,000• greater than 300,000

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