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Matheeule.de/Math Puzzle Fun 3

Math Puzzle Fun 3 Solutions

Here you find all the solutions for Math Puzzle Fun 3. Tap the + and the solution unfolds.

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01

Numbers up to 1000

Page 7Mirror numbers · Magic square · Test cards
🔍🧮 Read the calculation in the mirror Solution

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➕ Every row, column and diagonal adds up to 15 Solution
Sum → ↓ ↘ ↗ = 15492357816128
Sum → ↓ ↘ ↗ = 15816357492789
Sum → ↓ ↘ ↗ = 15816357492467

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📖📝 Three Cards, One Number Solution
575613672715760• greater than 600• odd number• less than 700
220603876896948• less than 900• greater than 800• divisible by 3
410501568683734• even number• greater than 500• less than 600
221240314361970• less than 400• even number• greater than 300

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Page 8Mirror numbers · Magic square · Merging tiles
🔍🧮 Work out the mirror numbers Solution

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➕ Three squares, three target sums Solution
Sum → ↓ ↘ ↗ = 156187532941379
Sum → ↓ ↘ ↗ = 12381246705346
Sum → ↓ ↘ ↗ = 1894526107832578

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✖️📝 Two Become One Solution
  • 4 32
  • 4 64
  • 8 64 8
  • 4
  • 16 16
  • 16 16
  • 8 64 16
  • 8 16 32
  • 128 2 32
  • 32 128
  • 64
  • 64 64 4
  • 4 4
  • 8 2

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Page 9Mirror numbers · Magic square · Open middle
🔍🧮 One more look in the mirror Solution

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➕ The master magic square Solution
Sum → ↓ ↘ ↗ = 15294753618456789
Sum → ↓ ↘ ↗ = 1892746851032568910
Sum → ↓ ↘ ↗ = 15816357492356789

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➗➖ The Best Arrangement Solution
As large as possible!854−12=842Digits:12458
As small as possible!456−97=359Digits:45679
As large as possible!974−13=961Digits:13479
As small as possible!357−98=259Digits:35789
As large as possible!743−12=731Digits:12347
As small as possible!134−95=39Digits:13459
As large as possible!765−12=753Digits:12567
As small as possible!345−96=249Digits:34569
As large as possible!873−12=861Digits:12378
As small as possible!236−98=138Digits:23689
As large as possible!986−35=951Digits:35689
As small as possible!134−85=49Digits:13458

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Page 10Riddle · Buying a card
📖 Who Am I? Solution
  • I am greater than 800.
  • I am less than 900.
  • My tens digit is 5.
  • My ones digit is 6 less than my hundreds digit.

Solution: 852

  • I am a whole hundred.
  • I am greater than 500.
  • I am less than 800.
  • If you subtract 100 from me, the result can be divided by 300 evenly.

Solution: 700

  • I am greater than 600.
  • I am less than 700.
  • All three of my digits are the same.

Solution: 666

  • I am greater than 200.
  • I am less than 300.
  • I can be divided by 25 evenly.
  • My tens digit is 7.

Solution: 275

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➖📝 What Is Left to Pay? Solution
What do you still have to pay?💰Price170297172Discount25013662Pay0161110271
What do you still have to pay?💰Price179121115Discount15320946Pay2606995
What do you still have to pay?💰Price10775128Discount7712120Pay30638101
What do you still have to pay?💰Price155213121Discount111114110Pay449911154
What do you still have to pay?💰Price167117142Discount2228443Pay03399132
What do you still have to pay?💰Price22791165Discount183168166Pay440044

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Page 11Harvest profit · Greater-smaller grid
➖⚖️ Which One Pays Off Most? Solution
Which one makes the most profit?🌱🧺💰🍉Melon$42$318276🥭Mango$17$297280🥦Broccoli$27$5730
Which one makes the most profit?🌱🧺💰🫘Bean$47$349302🥔Potato$22$166144🥭Mango$37$341304
Which one makes the most profit?🌱🧺💰🥭Mango$17$405388🌽Corn$52$428376🍓Strawberry$17$416399
Which one makes the most profit?🌱🧺💰🎃Pumpkin$27$195168🌽Corn$37$173136🍇Grape$57$202145
Which one makes the most profit?🌱🧺💰🥔Potato$62$227165🍉Melon$42$366324🫘Bean$17$361344
Which one makes the most profit?🌱🧺💰🥬Salad$27$197170🥕Carrot$52$297245🥭Mango$42$292250

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⚖️📝 Greater or smaller? Solution
4213243131421324
1324324141322413
3421213412434312
2341421331241432
1243431221343421
1234341221434321

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Page 12Color by result · Number lock
➖🎨 Work it out and color it in Solution
913 − 455 =458991 − 419 =572721 − 388 =333824 − 259 =565148 + 435 =583573 − 348 =225566665458468234215572565333584583572583333458472572344565459214583467225594House
117 + 379 =496683 − 308 =375713 − 264 =449284 + 217 =501183 + 298 =481239 + 277 =516492490449500472526375496516450496481501481496581525501486491507495449596460Tree
288 + 192 =480577 + 176 =753331 − 209 =122601 − 448 =153333 + 449 =782642 − 238 =404394752480764481380753404480469753122153122753413480782153133504853122154304Diamond
435 − 147 =288755 − 198 =557595 + 268 =863546 + 208 =754613 + 298 =911324 + 339 =663279277663567910873297863299872911911557754911811912863673901900753288852902Cross

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📖📝 Crack the number lock Solution
2Position 2 holds a number smaller than 2.+All the numbers together make 18.3Position 3 holds a number greater than 11.1521312
=Position 1 and position 3 hold the same number.+All the numbers together make 8.1Position 1 holds an odd number.3Position 3 holds a number greater than 1.132233
+All the numbers together make 22.2Position 2 holds a number smaller than 4.1Position 1 holds a number greater than 11.3Position 3 holds an even number.1122238

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Page 13Test cards · Merging tiles
📖📝 Which Number Is Left? Solution
124540587839956• less than 600• even number• greater than 500
559563566669869• odd number• tens digit is 6• hundreds digit is 5
214231350383878• less than 400• even number• greater than 300
124436441506823• less than 500• greater than 400• even number

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✖️📝 Slide and Double Solution
  • 8 4
  • 8 64 32
  • 8 8 2
  • 8
  • 4 4
  • 32 16 4
  • 64 16
  • 8 8
  • 8 64
  • 16 32 16
  • 256
  • 16 4 2
  • 16 4
  • 4 32 64

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Page 14Open middle · Riddle
➗➖ As Close as You Can Solution
As close to 300 as possible!298−57=241Digits:25789
As close to 500 as possible!613−98=515Digits:13689
As close to 700 as possible!695−12=683Digits:12569
As close to 250 as possible!415−86=329Digits:14568
As close to 450 as possible!532−79=453Digits:23579
As close to 650 as possible!812−43=769Digits:12348
As close to 350 as possible!297−16=281Digits:12679
As close to 550 as possible!619−74=545Digits:14679
As close to 750 as possible!695−34=661Digits:34569
As close to 400 as possible!398−67=331Digits:36789
As close to 600 as possible!598−12=586Digits:12589
As close to 800 as possible!764−13=751Digits:13467

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📖 Four Clues, One Number Solution
  • My digit sum is 13.
  • I am greater than 900.
  • My tens digit is 0.
  • I am even.

Solution: 904

  • I am greater than 400.
  • I am less than 500.
  • Add 20 to me and the result can be divided by 100 evenly.
  • My ones digit is 0.

Solution: 480

  • My three digits are 3, 6 and 9.
  • My hundreds digit is the biggest of them.
  • My ones digit is the smallest of them.

Solution: 963

  • I am greater than 500.
  • I am less than 600.
  • My tens digit is 3 more than my hundreds digit.
  • My ones digit is half of my tens digit.

Solution: 584

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Page 15Buying a card · Harvest profit
➖➕📝 Backwards to the Price Solution
What do you still have to pay?💰Price204212237Discount32970246Pay01420142
What does the card cost?💰Price333218374925Discount56184322Pay2773452
What do you still have to pay?💰Price253391271Discount36957361Pay03340334
What does the card cost?💰Price152270194616Discount4825722Pay10413172
What do you still have to pay?💰Price128416240Discount131186243Pay02300230
What does the card cost?💰Price344198361903Discount327126172Pay1772189

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➖➗⚖️ Profit per Day Solution
Which one makes the most per day?🌱🧺📅💰🌞🍐Pear$55$4753420140🥦Broccoli$75$17129648🍇Grape$80$6555575115
Which one makes the most per day?🌱🧺📅💰🌞🥕Carrot$30$3513321107🍇Grape$65$293322876🍅Tomato$65$440537575
Which one makes the most per day?🌱🧺📅💰🌞🍐Pear$70$5833513171🥦Broccoli$40$4282388194🌽Corn$45$327328294
Which one makes the most per day?🌱🧺📅💰🌞🌽Corn$35$410537575🥕Carrot$80$428434887🫘Bean$65$2772212106
Which one makes the most per day?🌱🧺📅💰🌞🍓Strawberry$30$3702340170🥦Broccoli$35$218318361🌾Wheat$75$6834608152
Which one makes the most per day?🌱🧺📅💰🌞🍅Tomato$45$10536020🍉Melon$65$6934628157🥕Carrot$40$5683528176

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Page 16Greater-smaller grid · Number lock
⚖️📝 The sign shows the way Solution
4321124321343412
4123143232412314
4231134231242413
3214214314324321
4213312423411432
3412123441232341

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📖📝 Find the code from the clues Solution
+All the numbers together make 13.=Position 1 and position 2 hold the same number.−Position 3 is 4 greater than position 2.132337
+All the numbers together make 35.3Position 3 holds a number greater than 12.−Position 1 is 2 greater than position 3.11527313
1Position 1 holds a number greater than 3.+All the numbers together make 22.2Position 2 holds a number greater than 6.−Position 3 is 4 greater than position 2.1427311

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Page 17Test cards · Merging tiles
📖📝 Every Card Counts Solution
193376439745779• odd number• digit sum 16• less than 500
237350433460787• less than 500• odd number• greater than 400
405437603673906• divisible by 3• odd number• greater than 600
184561630634715• digit sum 13• greater than 600• even number

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✖️📝 How Many 2s? Solution
  • 32 128 4
  • 2 64 32
  • 8 16 128
  • 128
  • 16 64 8
  • 64 8
  • 8 32 4
  • 512 128
  • 128 8
  • 128 16
  • 32
  • 64 16
  • 4 2 64
  • 64 4

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Page 18Buying a card · Harvest profit
➖➕📝 Four Kinds at Once Solution
What does the card cost?💰Price206311270192979Discount1945224165Pay1225929127
What do you still have to pay?💰Price273290256239Discount20846486399Pay6524400309
What does the card cost?💰Price275272181225953Discount83347250Pay192238109175
What do you still have to pay?💰Price286212350212Discount29049547511Pay003030303
What does the card cost?💰Price276315154226971Discount275131139146Pay11841580
What do you still have to pay?💰Price268242159214Discount36814512476Pay0971470244

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➖➗⚖️ Read the Question Carefully Solution
Which one makes the most profit?🌱🧺💰🌽Corn$65$935870🥬Salad$100$955855🍇Grape$55$867812
Which one makes the most per day?🌱🧺📅💰🌞🍐Pear$55$5605505101🧅Onion$45$7654720180🫘Bean$85$6492564282
Which one makes the most profit?🌱🧺💰🍅Tomato$40$898858🥭Mango$45$449404🍐Pear$85$937852
Which one makes the most per day?🌱🧺📅💰🌞🥬Salad$35$5834548137🥭Mango$65$7094644161🍐Pear$85$4132328164
Which one makes the most profit?🌱🧺💰🥭Mango$85$837752🥕Carrot$35$791756🍇Grape$105$270165
Which one makes the most per day?🌱🧺📅💰🌞🫘Bean$75$8433768256🍐Pear$90$9183828276🥦Broccoli$55$8272772386

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Page 19Greater-smaller grid · Number lock
⚖️📝 Almost only signs Solution
1234214334124321
4213312414322341
4213314224311324
4321124334122134
4213314213242431
2314413234211243

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📖📝 Write in the three-digit code Solution
−Position 2 is 9 greater than position 3.+All the numbers together make 38.2Position 2 holds a number greater than 14.3Position 3 holds a number smaller than 7.11721536
−Position 1 is 10 greater than position 3.3Position 3 holds a number smaller than 2.+All the numbers together make 28.11121631
−Position 3 is 1 greater than position 2.−Position 3 is 4 greater than position 1.+All the numbers together make 49.114217318

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02

Multiplication Master

Page 21Rectangle puzzle · Final scoring
✖️📍 Rectangles in the Big Grid Solution
241065423
3884823
64106226
886482
612332334
241021224

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✖️➕ The Final Scoring Solution
  • 405 + 150 + 75 = 630
  • 8 · (400 + 180 + 216 = 796)
  • 160 + 180 + 210 = 550
  • 8 · (250 + 280 + 216 = 746)
  • 100 + 300 + 100 = 500
  • 12 · (144 + 105 + 420 = 669)

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Page 22Which is better? · Recipe math
✖️☑️ Which Is Better? Solution
3📦×10⭐305📦×8⭐40?
2🧺×10🍎209🧺×2🍎18?
7🎒×8📚569🎒×3📚27?
8🥡×5🍬409🥡×3🍬27?
5🪣×9🔩458🪣×5🔩40?
10🛒×7🥕706🛒×9🥕54?
6🗃️×4🧊245🗃️×5🧊25?
3👜×8🪙247👜×7🪙49?

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✖️📝 Follow the Recipe Solution
⛏️812🧈1612🔧32
🐑1212🧶2441🧣6
🌿4041🪺1016🛒60
🍎916🧃5431🍹18
🐝915🍯4591🧁5
☁️613💧1813🪣54
🐄5671🥛818🧀64
🐟2212🍣4441🍱11

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Page 23Sharing the pile · Score the kingdom
➗📝 Packing Boxes Solution
🍎50How many boxes get full?…7
🥚50How many boxes do you need altogether?…8
🌰92How many are left over?…2
🍪85How many boxes get full?…8
🐟51How many are left over?…1
🧦45How many boxes do you need altogether?…5
🥔98How many boxes do you need altogether?…11
🧱67How many boxes get full?…7

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✖️📍 Where Does the Crown Go? Solution
in total 39
in total 40
in total 28
in total 40
in total 44
in total 39

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Page 24The stonemason · Rectangle puzzle
📝👆✖️ The stonemason Solution
The stonemason gets 12 coins for every symbol.NumberRomanSymbolsPay274CCLXXIV784201CCI336205CCV336269CCLXIX672300CCC336286CCLXXXVI896Which number cost the most? 286

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✖️📍 Which Shape Fits Here? Solution
26338842
61243362
6448212
4962312
312932232
63825462

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Page 25Final scoring · Which is better?
✖️➕ Adding Up the Points Solution
  • 100 + 216 + 160 = 476
  • 3 · (60 + 175 + 200 = 435)
  • 120 + 245 + 200 = 565
  • 7 · (315 + 210 + 168 = 693)
  • 160 + 210 + 216 = 586
  • 6 · (240 + 75 + 240 = 555)

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✖️☑️ Many Small or Few Big? Solution
8🧳×7🌰569🧳×6🌰54?
2🛍️×7🍄145🛍️×6🍄30?
5📮×4🧦203📮×5🧦15?
9🗄️×6🍓543🗄️×7🍓21?
8🎁×5🪀4010🎁×2🪀20?
3🥫×9🔔278🥫×3🔔24?
3🪟×10🥨3010🪟×6🥨60?
4🧰×3🧩122🧰×8🧩16?

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Page 26Recipe math · Sharing the pile
✖️📝 The Long Chain Solution
🪨60101🧱621🏠316🏘️18
🌳3612🪵7281🪑931🚚3
🌾2421🥣1213🍞3621🥪18
🐑2421🧶1217🧣8421📦42
🎋5012📜100101📚1014🎒40
🌻1681🌰214🫙817🗄️56
🐝2514🍯100101🧁1021🎁5
🥔3641🍟913🥡2712🧺54

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➗📝 What Is Left Over? Solution
🍋84How many boxes get full?…10
🥨84How many boxes do you need altogether?…11
🍇74How many are left over?…2
🌽55How many boxes get full?…5
🧀70How many are left over?…7
🥐75How many boxes get full?…7
🍑62How many boxes do you need altogether?…7
🥜96How many boxes get full?…9

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Page 27Score the kingdom · The stonemason
✖️📍 Small but Precious Solution
in total 32
in total 47
in total 44
in total 35
in total 56
in total 52

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📝👆✖️ A new order Solution
The stonemason gets 15 coins for every symbol.NumberRomanSymbolsPay482CDLXXXII8120368CCCLXVIII9135404CDIV460375CCCLXXV7105492CDXCII690315CCCXV575Which number cost the most? 368

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Page 28Rectangle puzzle · Final scoring
✖️📍 The Last Split Solution
61032123
1021266
61031025
42259626
2269485
9346122

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✖️➕ How Many Are Missing? Solution
  • 120 + 200 + 300 = 620
  • 12 · (480 + 168 + 225 = 873)
  • 280 + 90 + 105 = 475
  • 6 · (405 + 90 + 100 = 595)
  • 150 + 175 + 270 = 595
  • 5 · (180 + 60 + 225 = 465)

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Page 29Score the kingdom · The stonemason
✖️📍 Five Areas Solution
in total 43
in total 44
in total 40
in total 47
in total 47
in total 38

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📝👆✖️ The expensive stone Solution
The stonemason gets 25 coins for every symbol.NumberRomanSymbolsPay706DCCVI5125821DCCCXXI7175973CMLXXIII8200788DCCLXXXVIII11275699DCXCIX6150769DCCLXIX7175Which number cost the most? 788

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03

Logic Lab

Page 31Mini sudoku · Nim stones · Logic grid
🔍📝 Fill in the number grid Solution
2413314213244231
3124421313422431
2431312442131342

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⭕ Which numbers are safe? Solution
Circle the safe numbers:567663778546823385355128
Circle the safe numbers:445119729686879544482318
Circle the safe numbers:629556742441571951726335

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📖📝 Who Has Which Number? Solution
Mia and Tom have 17 together.Tom has a bigger number than Mia.589Mia8Tom9Ben5
Mia and Tom have 12 together.Tom has a bigger number than Mia.579Mia5Tom7Ben9
Tom has the 6.Mia does not have the 20.61820Mia18Tom6Ben20
Ben has the 16.Tom does not have the 12.31216Mia12Tom3Ben16

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Page 32Mini sudoku · Secret code · Crack the code
🔍📝 The hard number grid Solution
3412123443212143
2413134242313124
3214143223414123

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🔍➕ Crack the secret code Solution
+=6+=10++=13= 7= 3
+=10+=14=9= 5= 9
+=12+=14+=16= 8= 6

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🔍📝 Crack the Code Solution
  • Diamond - Square - Circle
  • Triangle - Square - Diamond
  • Square - Diamond - Triangle
  • Circle - Diamond - Square
  • Circle - Triangle - Diamond
  • Square - Triangle - Circle

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Page 33Mini sudoku · Weekday puzzle · Stained glass
🔍📝 The master number grid Solution
3124423113422413
2431134241233214
3142241343211234

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📖📝 What day of the week is it? Solution
Today is Tuesday. What day will it be in 100days?MonTueWedThuFriSatSun+100Thursday
Today is Friday. What day will it be in 150days?MonTueWedThuFriSatSun+150Monday
Today is Monday. What day will it be in 365days?MonTueWedThuFriSatSun+365Tuesday
Today is Saturday. What day will it be in 250days?MonTueWedThuFriSatSun+250Thursday

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🔍📝 Build the Church Window Solution
4123123434122341
1342412324313214
1342243132144123
2314324141321423
4123143232412314
3412124343212134

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Page 34Number path · Picture puzzle
🗺️📝 The Path from 1 to 25 Solution
23222145241920362518127161712118151413109
21205432219612231871011241789122516151413
25109872411236231214522131415162120191817
15141321161112341710765189825241920212223
21227892023611019245211182543121716151413
19181714132011615122123101122254982324567

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👆🎨 Color in the picture Solution
13454131 1 15535Crown
11151111311 1 13Anchor
244421 15531Heart
325231351 1 11 1 1House
115121112315Sail
112512135113Mushroom

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Page 35Line network · Sliding robot
⚖️➕ The fastest route Solution
55429891526StadiumStationMuseumBridgeTowerMillFrom Mill to Stadium:9minutes
19122758510CastleTowerFactoryBridgeChurchZooFrom Factory to Zoo:18minutes
137132815111021ParkBeachMarketBridgeGardenChurchFrom Beach to Market:35minutes
251541782313FactoryMarketCastleChurchStationBeachFrom Market to Beach:36minutes

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🗺️📍 Push the robot ↑↓←→ until it bumps Solution
3 moves
3 moves
3 moves
3 moves
3 moves
3 moves

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Page 36Machines · Winning move
📖📝 Which number fits all the displays? Solution
The number issmaller than 315.The number is odd.The number issmaller than 313.The secret number:313
The number isgreater than 281.The number issmaller than 284.The number iseven.The secret number:283
You can count tothe number by 5s.You can count tothe number by 6s.The number issmaller than 53.The secret number:30

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🔍📝 Set up a double threat Solution
12349
12359
12347
12347
12346
12348

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Page 37Number snakes · Lights out
🔍🔗 Connect matching numbers, no crossing! Solution
112233
112233
112233
112233
112233
112233

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🔍⭕ Press the lamps so they all go out Solution
Press
Press
Press
Press
Press
Press

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Page 38Logic grid · Crack the code
📖📝 Two Clues Are Enough Solution
Ben has the 10.Tom does not have the 3.3410Mia3Tom4Ben10
Mia and Tom have 36 together.Tom has a bigger number than Mia.91719Mia17Tom19Ben9
Tom has the 19.Mia does not have the 3.3919Mia9Tom19Ben3
Mia and Tom have 24 together.Tom has a bigger number than Mia.4720Mia4Tom20Ben7

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🔍📝 Two Tries Are Enough Solution
  • Square - Triangle - Diamond
  • Diamond - Circle - Square
  • Triangle - Square - Circle
  • Circle - Diamond - Square
  • Triangle - Circle - Diamond
  • Square - Diamond - Triangle

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Page 39Stained glass · Number path
🔍📝 Shape and Number at Once Solution
3241132424134132
2314342141321243
1243341243212134
2431132431424213
4213132431422431
4132324124131324

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🗺️📝 No Square Stays Empty Solution
25654324712132238111412291015162120191817
15141312111617891019187652012342122232425
25456724312118232131092211415162120191817
19205671821418172232916232425101514131211
15161718251413201924111221222310763298541
25432124512131423611101522789162120191817

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Page 40Picture puzzle · Line network
👆🎨 Which Picture Appears? Solution
3112111351 11 131Cup
12454121 1 15335Tower
11333111531 11 1Star
12521112153Boat
113431135311 1Cloud
311131111351 1513Treehouse

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⚖️➕ Changing pays off Solution
514198241888417264ChurchForestBridgeZooMoviesParkPondFrom Movies to Forest:12minutes
292057126274MarketIslandCaveSchoolHillMillMoviesFrom Mill to Market:23minutes
184562192917IslandBeachBridgePondParkStadiumMarketFrom Bridge to Beach:41minutes
145232220195513MarketBridgePoolIslandParkMoviesBeachFrom Park to Pool:34minutes

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Page 41Sliding robot · Machines
🗺️📍 Four moves to the target Solution
4 moves
4 moves
4 moves
4 moves
4 moves
4 moves

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📖📝 Find the secret number Solution
The number isgreater than 499.The digits add upto 6.The number iseven.The secret number:501
The number isgreater than 531.You can count tothe number by 5s.The digits add upto 7.The secret number:601
The number isgreater than 647.The digits add upto 22.The number is odd.The secret number:598

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Page 42Winning move · Number snakes
🔍📝 Set up a double threat Solution
37
35
159
25
357
258

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🔍🔗 Draw the snake to its partner Solution
11223344
11223344
11223344
11223344
11223344
11223344

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Page 43Lights out · Logic grid
🔍⭕ Put out more lamps Solution
Press
Press
Press
Press
Press
Press

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📖📝 The Last Clue Decides Solution
Mia and Tom have 25 together.Tom has a bigger number than Mia.91213Mia12Tom13Ben9
Mia and Tom have 29 together.Tom has a bigger number than Mia.31415Mia14Tom15Ben3
Mia has the 3.Ben does not have the 6.3617Mia3Tom6Ben17
Mia and Tom have 37 together.Tom has a bigger number than Mia.151819Mia18Tom19Ben15

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Page 44Crack the code · Line network
🔍📝 The Secret Code Solution
  • Circle - Diamond - Square
  • Circle - Triangle - Diamond
  • Square - Triangle - Diamond
  • Square - Diamond - Circle
  • Triangle - Square - Circle
  • Square - Circle - Triangle

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⚖️➕ Just one minute faster Solution
21915615307222210GardenIslandParkStadiumZooPoolBeachFrom Park to Pool:21minutes
912497629155PondPoolTowerCastleHillStationClinicFrom Pond to Station:21minutes
6115144492722MarketPondChurchHillForestCaveStadiumFrom Pond to Church:35minutes
11188252510822ZooStationChurchSchoolShipyardCircusMarketFrom Station to Shipyard:19minutes

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Page 45Sliding robot · Machines
🗺️📍 Four moves - the long way Solution
4 moves
4 moves
4 moves
4 moves
4 moves
4 moves

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📖📝 Which number fits three machines? Solution
The number isgreater than 937.You can count tothe number by 7s.The digits add upto 22.The secret number:994
The number issmaller than 986.The digits add upto 25.The number isgreater than 937.The secret number:979
The digits add upto 24.You can count tothe number by 6s.The number isgreater than 819.The secret number:798

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Page 46Winning move
🔍📝 Block and set up a double threat Solution
278
24
168
16
13
267

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04

Inventors' Workshop

Page 48Machine rhythm · Number cages
✖️📝 The Factory Runs Smoothly Solution
  • 3×4 = 2×6 = 12
  • 4×3 = 3×4 = 12
  • 5×2 = 2×5 = 10
  • 3×6 = 2×9 = 18

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🔍📝 Crack the Cages Solution
21433421431212343−1−4+1−1−5+
13243412214342316+1−3+6+4+7+3+
12344123341223415+1−3+10+5+3+
31421423231442312−2−6+5+5+2−3−
12343412234141233−9+1−5+5+3+
32412134142343123−5+6+1−5+4+5+

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Page 49Lap course · Machine rhythm
➗📝 Lap After Lap Solution
  • 3
  • 4 R 1
  • 2
  • 6 R 2

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✖️📝 Enough Machines? Solution
  • 4×6 = 3×8 = 24
  • 5×4 = 2×10 = 20
  • 4×9 = 3×12 = 36
  • 5×6 = 2×15 = 30

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Page 50Number cages · Lap course
🔍📝 Plus, Minus, Times Solution
43123124124324313×8+12×7+5+1−
32141342412324318×1−12×7+6+4×
14323241231441231−5+5+6×12×1−2−
42132134342113423+36×3+12×3−2−2−
42313142231414238×2−3+6×12×24×
43123124124324312−12×3×24×2−3+3+

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➗📝 Where Do You Land? Solution
  • 7 R 1
  • 5
  • 34
  • 9 R 2

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Page 51Machine rhythm · Number cages
✖️📝 A Long Chain Solution
  • 15×4 = 10×6 = 6×10 = 60
  • 6×5 = 5×6 = 3×10 = 30
  • 6×6 = 4×9 = 3×12 = 36
  • 9×8 = 6×12 = 4×18 = 72

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🔍📝 Little Help, Many Cages Solution
12344321241331426+4×8×2−12×6×1−
123443213142241312×9×8×7+2×1−
314224131234432112×72×8×6×1−4×
134234214213213432×4+2−9×6×3+
42132341143231244×12×6×2−1−8×2−
43212413123431422−3×8+3×24×3×

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Page 52Lap course
➗📝 The Long Run Solution
  • 4
  • 34 R 7
  • 113
  • 4

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05

Puzzle Master

Page 54Is it worth it? · Score the routes
➗☑️ Is It Worth It? Solution
⚙️ 140 : 35 = 4 ✓🔧 90 : 15 = 6
🏭 250 : 25 = 10🚜 128 : 16 = 8 ✓
🔌 120 : 12 = 10🪚 210 : 35 = 6 ✓
⛏️ 112 : 16 = 7🧲 48 : 24 = 2 ✓
🛠️ 200 : 25 = 8 ✓🔋 135 : 15 = 9
🚛 420 : 35 = 12🪣 42 : 14 = 3 ✓
🧰 144 : 18 = 8🚁 160 : 32 = 5 ✓
🛰️ 126 : 18 = 7 ✓🔭 216 : 24 = 9

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⚖️☑️ Score the Routes Solution
  • 18 ✓ | 16
  • 21 ✓ | 19
  • 13 | 14 ✓
  • 26 ✓ | 24
  • 12 ✓ | 10
  • 16 | 19 ✓
  • 21 ✓ | 20
  • 11 ✓ | 10
  • 10 ✓ | 9
  • 16 ✓ | 14
  • 19 | 20 ✓
  • 23 ✓ | 18

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Page 55Points times factor · The fake coin
✖️☑️ Add Points or Multiply? Solution
11⭐×3+7⭐54×266
3⭐×2+7⭐20×318
4⭐×4+15⭐76×348
7⭐×2+9⭐32×342
8⭐×4+6⭐56×264
6⭐×3+8⭐42×354
14⭐×2+4⭐36×384
6⭐×2+15⭐42×336
16⭐×3+15⭐93×296

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⚖️📝 One Weighing Is Enough Solution
Coins:12345Fake coin:43512Weighing 1
Coins:1234567Fake coin:5346127Weighing 1
Coins:123456Fake coin:112Weighing 1

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Page 56Dice sums · Is it worth it?
👆⚖️ How Often Does the Total Come Up? Solution
+2345673456784567895678910678910117891011121) Enter every way to make7 in the table.62) How many ways make 9?43) Which sum comes up mostoften: 2, 6 or 10?64) Which sum comes up lessoften: 3 or 11?equally often

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➗☑️ Pricey but Faster Solution
🖨️ 210 : 35 = 6 ✓🧪 198 : 18 = 11
🪫 160 : 32 = 5 ✓🚿 224 : 32 = 7
🏗️ 90 : 15 = 6🛞 175 : 35 = 5 ✓
🧵 54 : 18 = 3 ✓🪛 189 : 21 = 9
⚙️ 105 : 21 = 5 ✓🔧 98 : 14 = 7
🏭 64 : 16 = 4 ✓🚜 252 : 21 = 12
🔌 198 : 18 = 11🪚 350 : 35 = 10 ✓
⛏️ 90 : 15 = 6 ✓🧲 165 : 15 = 11

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Page 57Score the routes · Points times factor
⚖️☑️ Long or Often? Solution
  • 12 ✓ | 8
  • 16 ✓ | 8
  • 14 ✓ | 10
  • 8 | 10 ✓
  • 15 | 18 ✓
  • 12 ✓ | 9
  • 10 | 17 ✓
  • 16 ✓ | 10
  • 25 ✓ | 21
  • 25 ✓ | 15
  • 19 | 23 ✓
  • 11 ✓ | 8

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✖️☑️ When Is Times Worth It? Solution
10⭐×2+10⭐40×360
3⭐×2+4⭐14×212
13⭐×2+13⭐52×378
5⭐×3+15⭐60×230
13⭐×2+8⭐42×378
15⭐×3+4⭐57×290
7⭐×3+6⭐39×363
15⭐×2+9⭐48×390
4⭐×3+13⭐51×336

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Page 58The fake coin · Dice sums
⚖️📝 Two Weighings, One Fake Solution
Coins:123456Fake coin:43516Weighing 14612Weighing 2
Coins:12345678Fake coin:8357126Weighing 1234157Weighing 2
Coins:123456Fake coin:22635Weighing 12435Weighing 2

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👆⚖️ Which Total Comes Up More Often? Solution
+2345673456784567895678910678910117891011121) Enter every way to make8 in the table.52) How many ways make 5?43) Which sum comes up mostoften: 4, 7 or 12?74) Which sum comes up lessoften: 6 or 9?9

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Page 59Is it worth it? · Score the routes
➗☑️ Which Machine Wins? Solution
🛠️ 72 : 12 = 6🔋 80 : 16 = 5 ✓
🚛 154 : 14 = 11🪣 96 : 32 = 3 ✓
🧰 140 : 14 = 10🚁 175 : 35 = 5 ✓
🛰️ 176 : 16 = 11🔭 108 : 12 = 9 ✓
🖨️ 126 : 18 = 7 ✓🧪 112 : 14 = 8
🪫 384 : 32 = 12🚿 105 : 35 = 3 ✓
🏗️ 72 : 12 = 6🛞 90 : 18 = 5 ✓
🧵 64 : 32 = 2 ✓🪛 245 : 35 = 7

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⚖️☑️ Same Length, Not Same Value Solution
  • 11 ✓ | 8
  • 19 ✓ | 14
  • 18 ✓ | 13
  • 30 ✓ | 26
  • 14 ✓ | 11
  • 22 | 24 ✓
  • 14 ✓ | 13
  • 18 ✓ | 14
  • 19 ✓ | 17
  • 25 ✓ | 21
  • 24 ✓ | 20
  • 17 | 18 ✓

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06

Measuring and Counting

Page 61Fill the bar · Rocket cargo
👆➗ The Full Bar Solution
Notes:21111
Notes:22221
Notes:21111

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➕☑️ What Comes Along? Solution
🚀 Capacity: 288 kgCargo: 287 kg🤖Robot78 kg🔦Lamp116 kg🎒Backpack122 kg📻Radio100 kg🧰Tools49 kg
🚀 Capacity: 340 kgCargo: 335 kg⛺Tent167 kg💧Water313 kg🍎Food249 kg🛰️Satellite102 kg🤖Robot66 kg
🚀 Capacity: 351 kgCargo: 335 kg🔭Telescope164 kg🧰Tools105 kg🛰️Satellite274 kg🤖Robot147 kg📷Camera83 kg

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Page 62Shape 10 · Counting cubes
👆🔁 Three Shapes, One Rule Solution
Shape 1Shape 2Shape 3Each time 6 are added.Shape 20 has 119 tiles.
Shape 1Shape 2Shape 3Each time 5 are added.Shape 24 has 121 tiles.
Shape 1Shape 2Shape 3Each time 4 are added.Shape 23 has 90 tiles.
Shape 1Shape 2Shape 3Each time 7 are added.Shape 15 has 104 tiles.

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👆📝 How many cubes are there? Solution
=12
=10
=14
=16
=15
=18
=20
=17
=19

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Page 63Fill the bar · Rocket cargo
👆➗ Four Bars at Once Solution
Notes:222111
Notes:222211
Notes:211111

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➕☑️ Down to the Last Kilo Solution
🚀 Capacity: 643 kgCargo: 607 kg💧Water78 kg🍎Food170 kg🔦Lamp174 kg🧰Tools55 kg⛺Tent127 kg🔋Battery173 kg
🚀 Capacity: 639 kgCargo: 638 kg⛺Tent212 kg🛰️Satellite62 kg🤖Robot101 kg🔭Telescope42 kg📷Camera71 kg🎒Backpack355 kg
🚀 Capacity: 497 kgCargo: 487 kg🎒Backpack341 kg📷Camera159 kg🚩Flag389 kg🔦Lamp185 kg🛰️Satellite58 kg💧Water270 kg

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Page 64Shape 10 · Fill the bar
👆🔁 Far Down the Row Solution
Shape 1Shape 2Shape 3Each time 5 are added.Shape 27 has 137 tiles.
Shape 1Shape 2Shape 3Each time 6 are added.Shape 24 has 141 tiles.
Shape 1Shape 2Shape 3Each time 5 are added.Shape 28 has 137 tiles.
Shape 1Shape 2Shape 3Each time 7 are added.Shape 34 has 233 tiles.

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👆➗ Four Bars, a Big Supply Solution
Notes:4111111
Notes:4111111
Notes:2222211

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Page 65Rocket cargo · Shape 10
➕☑️ Seven Parts, One Hold Solution
🚀 Capacity: 835 kgCargo: 825 kg🚩Flag370 kg🤖Robot137 kg🎒Backpack162 kg🔦Lamp293 kg📻Radio432 kg💧Water37 kg🍎Food81 kg
🚀 Capacity: 834 kgCargo: 830 kg📻Radio142 kg🔦Lamp73 kg🍎Food332 kg🛰️Satellite81 kg💧Water107 kg🎒Backpack417 kg🔭Telescope303 kg
🚀 Capacity: 840 kgCargo: 831 kg🎒Backpack68 kg🔦Lamp236 kg⛺Tent234 kg🚩Flag336 kg💧Water74 kg🍎Food219 kg📷Camera254 kg

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👆🔁 Backwards to the Shape Solution
Shape 1Shape 2Shape 3Each time 6 are added.Shape 48 has 289 tiles.
Shape 1Shape 2Shape 3Each time 7 are added.Shape 37 has 257 tiles.
Shape 1Shape 2Shape 3Each time 6 are added.Shape 41 has 244 tiles.
Shape 1Shape 2Shape 3Each time 7 are added.Shape 39 has 269 tiles.

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07

Shape Workshop

Page 67In one stroke · Matchsticks · Trio
🔍☑️ Can you draw it in one stroke? Solution
yes
no
no

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

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🔍📝 Which three cards go together? Solution
1234567Shape: differentNumber: differentShading: different
1234567Shape: differentNumber: differentShading: same
1234567Shape: sameNumber: differentShading: different

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Page 68In one stroke · Matchsticks · Tangram
🔍☑️ Which shapes can you draw in one stroke? Solution
no
yes
yes

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

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🔍☑️ Check off the pieces that make the picture Solution

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Page 69Puzzle piece · Top view
🔍☑️ Which piece is missing? Solution

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🔍☑️ Which top view belongs to the tower? Solution
112221222111222121321122213223
321121112122112111122211321113
121111222112113122121211212213
111211221111123123121312113213
212211232121221122222122113223
122211231132221122122222112213

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Page 70Common picture · Paths in the grid
🔍⭕ Quick! Find the shared picture Solution
⛄🌙🧢🐦🍀🎈🍒🍋⚽🍇🦉🐶🥚🦆🐝🐰🍄⛄
🐝🐭🐶🚗🍀🥚🍄🍎🍌⚡🦁🍒🔔⭐🦋🌙🦆🐝
🐦🐻🍀🐰👕🚗🍎🔔🍓🍌🥕🍄🐞🐟🦆🧢🎁🐦
🦋🍓💎🎈🦉🔥🥚🚗🦁🍎🐦🌞🍄🦋🐱🐞🍒🦆
🍓🦆🍌🌞🚗🌵🧦🍎🍋🔔🍄🐟🐭⛄🍓🐶🐻⚡
⚡⚽🧦🐦🍒🌵🍀🍄🚗⭐🦋🐭🎁⚡👕🐰🌳☁

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🗺️ Help Euli through the forest! Solution
🦉⭐

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Page 71Trio · Tangram
🔍📝 Find the three matching cards Solution
12345678Shape: sameNumber: differentShading: same
12345678Shape: differentNumber: differentShading: different
12345678Shape: differentNumber: differentShading: different

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🔍☑️ Find the pieces that fill the silhouette Solution

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Page 72Puzzle piece · Top view
🔍☑️ Which piece fits into the gap? Solution

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🔍☑️ Find the matching top view Solution
322111111131111111123231111113
233133313123213331322221233133
321322212131132121223113222123
122213211112321331121221132113
322133132132333313221233311323
213311132131131113222113111323

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Page 73Common picture · Trio
🔍⭕ Quick: Which picture is on both cards? Solution
⚡🎈🐻🥚⚽🍒🐰🌸💎🍌🌙🍀⚡⛄🐞🚗🐱🔥☁⭐
🦉🐱⚡🥚🌵⛄🍒⚽🦆🍀🧦🦉🐟🐶🌳🔥🍌🦁🦋🐝
🍒🐶🍓🚗☁🌸⚽🐭🐱🍀🦉🐦🌙⛄🦆🔔🌳🍒🧦🥚
🍋🧦🐶🦋🔥⚡⛄🐱🚗🍄🍒🐞🎈🥚🍎🌞🐰🍋🦆☁
🍇⚡🐻⛄🐱🔔👕🍋⭐☁🎁🍄🐦🍎🌳🐭🍇⚽🔥🌸
🌳🍒🧦🦋🌙🐞🐰🍋🌞⚡💎🌳🐭🍌🌸🍄🐦🐟🍎🔥

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🔍📝 Find the trio with three features Solution
123456789Shape: sameNumber: sameShading: different
123456789Shape: differentNumber: differentShading: different
123456789Shape: differentNumber: sameShading: same

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Page 74Puzzle piece · Top view
🔍☑️ Find the matching puzzle piece Solution

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🔍☑️ Match tower and top view Solution
223312121122131212122233121113
313112222131211222222121122223
223321332112322133221233213323
323223211132323321123332232113
311122111131111211121111121113
133322213132332221323333222133

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Page 75Common picture · In one stroke
🔍⭕ How fast can you find the same picture? Solution
🐰🍌🍀🔔🍒🥚🐶🌙🌞⭐🦁🍋🐰⚽🐞🥕🔥🧦🍓🐟
🌳🌸🥕🐶🌞🐞🚗🍎🔥🍒🐻🍇🌳🍌🐟🍀🧦🎁🍄🌙
🐰🔥⛄💎🍓🧦🍒🐱🦉🐦⚽🧢🐟🐞🦆🐭🌳👕🔔🐰
🚗👕🍄🌞⚡🐰🍋🐭🥚🦉🎁🔥🍓🥕🐱🦁🌵🐦🔔🚗
💎🍒🔥🦁🍄👕🍋⭐🐟☁💎🍓🐱🐭🔔🐞🍎🐻🎁⚽
🍄🐰🍒🌵⛄🍀🔔🐭👕🎁☁🌸🍌🐻🥚💎🍄🍓⚡🧦

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🔍☑️ Draw without lifting the pen: possible? Solution
yes
no
yes

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