01
Review up to 100
· Plus and minus up to 100 Solution
34+25=59
42+36=78
25+36=61
76−24=52
85−32=53
78−31=47
57+28=85
39+33=72
36+45=81
92−36=56
63−34=29
82−27=55
46+33=79
58+36=94
44+27=71
95−42=53
· Calculate across the ten Solution
27 + 5 = 27 + 3 + 2 = 10 + 2 = 32
48 + 7 = 48 + 2 + 5 = 10 + 5 = 55
56 + 8 = 56 + 4 + 4 = 10 + 4 = 64
79 + 6 = 79 + 1 + 5 = 10 + 5 = 85
36 + 9 = 36 + 4 + 5 = 10 + 5 = 45
65 + 7 = 65 + 5 + 2 = 10 + 2 = 72
88 + 5 = 88 + 2 + 3 = 10 + 3 = 93
43 + 8 = 43 + 7 + 1 = 10 + 1 = 51
· Build up the wall! Solution
· Plus table up to 100 Solution
· Numbers up to 100 on the line Solution
· Find the neighbors up to 100 Solution
· Break into tens and ones Solution
· Multiply the number Solution
3 + 3 + 3 + 3=12→3fits into 124times
8 + 8 + 8 + 8 + 8 + 8 + 8=56→8fits into 567times
7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7=63→7fits into 639times
9 + 9 + 9 + 9 + 9 + 9=54→9fits into 546times
· Swap problems in multiplication Solution
6·10=60↔10·6=60
6·9=54↔9·6=54
8·5=40↔5·8=40
6·4=24↔4·6=24
10·8=80↔8·10=80
7·4=28↔4·7=28
4·5=20↔5·4=20
9·8=72↔8·9=72
· Reverse problems for the times tables Solution
9 · 10 = 90
90 + 10 = 9
10 + 90 = 9
9 · 6 = 54
54 + 6 = 9
6 + 54 = 9
7 · 4 = 28
28 + 4 = 7
4 + 28 = 7
10 · 4 = 40
40 + 4 = 10
4 + 40 = 10
9 · 8 = 72
72 + 8 = 9
8 + 72 = 9
10 · 6 = 60
60 + 6 = 10
6 + 60 = 10
7 · 8 = 56
56 + 8 = 7
8 + 56 = 7
9 · 5 = 45
45 + 5 = 9
5 + 45 = 9
3 · 7 = 21
21 + 7 = 3
7 + 21 = 3
· Compare the numbers up to 100 Solution
94>89
15<51
61=61
87>78
53=53
72>27
34<43
38<83
21>12
76>67
64<69
29<92
46=46
99<100
58=58
85>58
· Order the numbers up to 100 Solution
· Division tasks Solution
60 : 6 =10
81 : 9 =9
64 : 8 =8
27 : 9 =3
32 : 8 =4
35 : 5 =7
42 : 7 =6
48 : 6 =8
54 : 9 =6
56 : 8 =7
63 : 7 =9
72 : 9 =8
· Euli made a mistake Solution
34+28=63→62
71−25=46
46+37=82→83
92−43=49
58+26=85→84
82−39=43
27+65=93→92
64−18=47→46
· Magic square - sum 36 Solution
· Small word problems Solution
- 1. 51
- 2. 37
- 3. 83
- 4. 36
- 5. 31
· Squares up to 100 Solution
· Who am I? Solution
- I am greater than 30.
- I am less than 40.
- I am even.
- My ones digit is 4.
Solution: 34
- I have 7 tens.
- My ones digit is 8.
Solution: 78
- I am the sum of 26 and 35.
- I am odd.
Solution: 61
- My tens digit is twice as large as my ones digit.
- I am less than 50.
- I am greater than 40.
Solution: 42
· Minus table up to 100 Solution
02
Numbers up to 1000
· Split into hundreds and rest Solution
· Numbers in the place value chart Solution
| H | Z | E |
|---|---|---|
| 1 | 3 | 6 |
= 136
| H | Z | E |
|---|---|---|
| 2 | 5 | 4 |
= 254
| H | Z | E |
|---|---|---|
| 3 | 0 | 8 |
= 308
| H | Z | E |
|---|---|---|
| 4 | 2 | 5 |
= 425
| H | Z | E |
|---|---|---|
| 5 | 1 | 9 |
= 519
| H | Z | E |
|---|---|---|
| 6 | 0 | 7 |
= 607
| H | Z | E |
|---|---|---|
| 7 | 4 | 3 |
= 743
| H | Z | E |
|---|---|---|
| 8 | 6 | 2 |
= 862
| H | Z | E |
|---|---|---|
| 9 | 5 | 0 |
= 950
| H | Z | E |
|---|---|---|
| 2 | 8 | 1 |
= 281
| H | Z | E |
|---|---|---|
| 3 | 9 | 4 |
= 394
| H | Z | E |
|---|---|---|
| 4 | 7 | 6 |
= 476
| H | Z | E |
|---|---|---|
| 1 | 7 | 2 |
= 172
| H | Z | E |
|---|---|---|
| 5 | 8 | 9 |
= 589
| H | Z | E |
|---|---|---|
| 2 | 1 | 3 |
= 213
| H | Z | E |
|---|---|---|
| 7 | 6 | 5 |
= 765
· The number tree grows Solution
· Find the place values Solution
· In steps of 10 and 100 Solution
· Hundreds on the number line Solution
· Break the number into H, T and O Solution
235=
| H | Z | E |
|---|---|---|
| 2 | 3 | 5 |
418=
| H | Z | E |
|---|---|---|
| 4 | 1 | 8 |
561=
| H | Z | E |
|---|---|---|
| 5 | 6 | 1 |
174=
| H | Z | E |
|---|---|---|
| 1 | 7 | 4 |
640=
| H | Z | E |
|---|---|---|
| 6 | 4 | 0 |
852=
| H | Z | E |
|---|---|---|
| 8 | 5 | 2 |
· Neighbor numbers up to 1000 Solution
· Ten less and ten more Solution
· Compare the big numbers Solution
342<423
567=567
891>819
454>445
998>989
236<263
718=718
565<656
884>879
385<835
192<921
646>466
273<732
509=509
615>561
777>747
· Rounding to tens Solution
234≈230
478≈480
352≈350
686≈690
117≈120
565≈570
823≈820
941≈940
· Who am I? Solution
- I have 4 hundreds.
- My tens digit is 7.
- My ones digit is 2.
Solution: 472
- I am greater than 600.
- I am smaller than 610.
- I am odd.
- My ones digit is 3.
Solution: 603
- I am a hundreds number.
- I am greater than 500.
- If you halve me, you get 350.
Solution: 700
- My tens digit is 5.
- My ones digit is 4.
- My hundreds digit is twice as big as my ones digit.
Solution: 854
· Sort from small to large! Solution
· Even or odd? Solution
· Split up to the ten Solution
· Look closely! Solution
· Even more neighbor numbers Solution
A hundred less and a hundred more Solution
· Compare even more numbers Solution
492>429
543>534
829<892
388<838
970>907
758<785
675=675
316<361
337<373
803<830
641>461
950>905
528<582
604=604
274<724
916>691
· Rounding to tens - your turn! Solution
347≈350
129≈130
894≈890
758≈760
271≈270
485≈490
936≈940
612≈610
· Even more riddles Solution
- I have 6 hundreds.
- My tens digit is 3.
- My ones digit is 8.
Solution: 638
- I am bigger than 700.
- I am smaller than 710.
- I am even.
- My ones digit is 4.
Solution: 704
- I am a round hundred.
- I am smaller than 500.
- If you double me, you get 600.
Solution: 300
- My tens digit is 6.
- My ones digit is 3.
- My hundreds digit is twice as big as my ones digit.
Solution: 663
· Order even more numbers Solution
· Even or odd? Round 2 Solution
· Counting hits in the hundreds Solution
· In steps of 4 and 20 Solution
· Rounding to hundreds Solution
415≈400
268≈300
743≈700
592≈600
831≈800
176≈200
458≈500
912≈900
· Building the number from place values Solution
| H | Z | E |
|---|---|---|
| 2 | 4 | 7 |
= 247
| H | Z | E |
|---|---|---|
| 5 | 0 | 3 |
= 503
| H | Z | E |
|---|---|---|
| 1 | 9 | 8 |
= 198
| H | Z | E |
|---|---|---|
| 6 | 3 | 0 |
= 630
| H | Z | E |
|---|---|---|
| 8 | 1 | 5 |
= 815
| H | Z | E |
|---|---|---|
| 3 | 7 | 2 |
= 372
| H | Z | E |
|---|---|---|
| 9 | 2 | 6 |
= 926
| H | Z | E |
|---|---|---|
| 4 | 8 | 9 |
= 489
| H | Z | E |
|---|---|---|
| 7 | 5 | 1 |
= 751
| H | Z | E |
|---|---|---|
| 2 | 0 | 4 |
= 204
| H | Z | E |
|---|---|---|
| 6 | 6 | 3 |
= 663
| H | Z | E |
|---|---|---|
| 1 | 3 | 7 |
= 137
| H | Z | E |
|---|---|---|
| 5 | 4 | 8 |
= 548
| H | Z | E |
|---|---|---|
| 3 | 0 | 9 |
= 309
| H | Z | E |
|---|---|---|
| 8 | 7 | 0 |
= 870
| H | Z | E |
|---|---|---|
| 1 | 6 | 5 |
= 165
· Counting hits in the hundreds - your turn! Solution
· Splitting like a pro Solution
· Another number tree Solution
· The big comparison finale Solution
624<642
389<398
757>577
816=816
295<529
943>934
468<486
602<620
871>718
534<543
359<935
787=787
912<921
646>464
208<802
593>539
· Even or odd? Round 3 Solution
· Neighbor numbers, third time around Solution
· One hundred less, one hundred more, round 2 Solution
· Sorting, third time around Solution
· The riddle finale Solution
- I have 8 hundreds.
- My tens digit is 5.
- My ones digit is 2.
Solution: 852
- I am bigger than 590.
- I am smaller than 600.
- I am odd.
- My ones digit is 7.
Solution: 597
- I am a round hundred.
- I am bigger than 600.
- If you halve me, you get 400.
Solution: 800
- My ones digit is 6.
- My hundreds digit is 9.
- My tens digit is half as big as my ones digit.
Solution: 936
· Breaking apart with a zero Solution
903=
| H | Z | E |
|---|---|---|
| 9 | 0 | 3 |
507=
| H | Z | E |
|---|---|---|
| 5 | 0 | 7 |
380=
| H | Z | E |
|---|---|---|
| 3 | 8 | 0 |
216=
| H | Z | E |
|---|---|---|
| 2 | 1 | 6 |
795=
| H | Z | E |
|---|---|---|
| 7 | 9 | 5 |
468=
| H | Z | E |
|---|---|---|
| 4 | 6 | 8 |
· Place value chart mixed Solution
| H | Z | E |
|---|---|---|
| 3 | 4 | 8 |
= 348
| H | Z | E |
|---|---|---|
| 9 | 1 | 4 |
= 914
| H | Z | E |
|---|---|---|
| 7 | 0 | 2 |
= 702
| H | Z | E |
|---|---|---|
| 2 | 6 | 8 |
= 268
| H | Z | E |
|---|---|---|
| 5 | 9 | 6 |
= 596
| H | Z | E |
|---|---|---|
| 4 | 0 | 7 |
= 407
| H | Z | E |
|---|---|---|
| 8 | 3 | 1 |
= 831
| H | Z | E |
|---|---|---|
| 6 | 5 | 2 |
= 652
| H | Z | E |
|---|---|---|
| 2 | 6 | 4 |
= 264
| H | Z | E |
|---|---|---|
| 1 | 8 | 3 |
= 183
| H | Z | E |
|---|---|---|
| 9 | 7 | 0 |
= 970
| H | Z | E |
|---|---|---|
| 7 | 4 | 6 |
= 746
| H | Z | E |
|---|---|---|
| 4 | 1 | 5 |
= 415
| H | Z | E |
|---|---|---|
| 3 | 2 | 9 |
= 329
| H | Z | E |
|---|---|---|
| 6 | 8 | 3 |
= 683
| H | Z | E |
|---|---|---|
| 5 | 9 | 1 |
= 591
· Even or odd? Round 4 Solution
03
Plus and minus up to 1000
· Adding full hundreds Solution
· Number walls up to 1000 Solution
· Hundreds and tens without crossing Solution
320+50=370
430+50=480
350+240=590
560−40=520
780−50=730
670−30=640
250+340=590
860−420=440
· Euli has miscalculated again Solution
340+230=580→570
650−120=530
275+125=390→400
810−350=460
430+260=680→690
720−480=240
180+540=730→720
960−530=420→430
· In steps of 25 and 50 Solution
· Warming up with two-digit numbers Solution
36 + 47 =
= 30 + 40 + 6 + 7
= 70 + 13
= 83
58 + 27 =
= 50 + 20 + 8 + 7
= 70 + 15
= 85
45 + 39 =
= 40 + 30 + 5 + 9
= 70 + 14
= 84
64 + 29 =
= 60 + 20 + 4 + 9
= 80 + 13
= 93
57 + 38 =
= 50 + 30 + 7 + 8
= 80 + 15
= 95
49 + 42 =
= 40 + 40 + 9 + 2
= 80 + 11
= 91
· Crossing the ten up to 1000 Solution
592 + 9 = 592 + 8 + 1 = 10 + 1 = 601
865 + 8 = 865 + 5 + 3 = 10 + 3 = 873
478 + 7 = 478 + 2 + 5 = 10 + 5 = 485
734 + 9 = 734 + 6 + 3 = 10 + 3 = 743
246 + 8 = 246 + 4 + 4 = 10 + 4 = 254
357 + 5 = 357 + 3 + 2 = 10 + 2 = 362
683 + 9 = 683 + 7 + 2 = 10 + 2 = 692
519 + 6 = 519 + 1 + 5 = 10 + 5 = 525
· Written addition without a carry Solution
· Subtracting full hundreds Solution
· Reverse tasks up to 1000 Solution
125 + 234 = 359
359 − 234 = 125
359 − 125 = 234
316 + 252 = 568
568 − 252 = 316
568 − 316 = 252
243 + 415 = 658
658 − 415 = 243
658 − 243 = 415
152 + 326 = 478
478 − 326 = 152
478 − 152 = 326
231 + 547 = 778
778 − 547 = 231
778 − 231 = 547
424 + 263 = 687
687 − 263 = 424
687 − 424 = 263
335 + 142 = 477
477 − 142 = 335
477 − 335 = 142
513 + 256 = 769
769 − 256 = 513
769 − 513 = 256
246 + 312 = 558
558 − 312 = 246
558 − 246 = 312
· Column subtraction Solution
· Crossing the ten in your head Solution
256+168=424
347+165=512
358+275=633
523−147=376
612−154=458
723−286=437
485+367=852
941−568=373
· Estimating up to 1000 Solution
412 + 397 ≈800
689 - 295 ≈400
318 + 463 ≈800
904 - 487 ≈400
513 + 289 ≈800
876 - 392 ≈500
· Euli calculates again Solution
356+287=643
428+365=783→793
512−238=274
723−456=277→267
274+458=732
605−378=237→227
349+276=625
831−457=364→374
· Splitting before calculating Solution
· Subtracting with regrouping Solution
· Written addition with a carry Solution
· Word problems up to 1000 Solution
- 1. 748
- 2. 164
- 3. 644
- 4. 145
- 5. 283
· Completing up to 1000 Solution
275+158=433
364+148=512
359+247=606
683−256=427
745−217=528
637−175=462
538+289=827
912−376=536
· One hundred less, one hundred more in your head Solution
· Adding with two carries Solution
· Even more number walls Solution
· Compare up to 1000 Solution
911<951
573<753
615>575
335=335
738>378
308<803
671=671
152<251
212=212
846>648
580<850
184>159
942>249
255<525
865>856
513>315
· More word problems up to 1000 Solution
- 1. 623
- 2. 234
- 3. 752
- 4. 249
- 5. 801
· Rounding helps you estimate Solution
528≈530
374≈370
685≈690
247≈250
913≈910
462≈460
796≈800
351≈350
· Two steps to the solution Solution
- 1. 463 → 367
- 2. 425 → 175
- 3. 303 → 107
- 4. 370 → 70
- 5. 254 → 459
· Subtracting with double regrouping Solution
· Completing with a changing gap Solution
316+247=563
458+365=823
347+265=612
734−289=445
651−267=384
724−198=526
572+341=913
893−456=437
· Adding tens numbers Solution
· Reverse problems, round 2 Solution
263 + 358 = 621
621 − 358 = 263
621 − 263 = 358
417 + 269 = 686
686 − 269 = 417
686 − 417 = 269
385 + 152 = 537
537 − 152 = 385
537 − 385 = 152
274 + 463 = 737
737 − 463 = 274
737 − 274 = 463
529 + 246 = 775
775 − 246 = 529
775 − 529 = 246
318 + 425 = 743
743 − 425 = 318
743 − 318 = 425
456 + 237 = 693
693 − 237 = 456
693 − 456 = 237
364 + 508 = 872
872 − 508 = 364
872 − 364 = 508
243 + 619 = 862
862 − 619 = 243
862 − 243 = 619
· In steps of 30 and 100 Solution
· Euli calculates a third time Solution
467+258=725
536−249=297→287
318+394=712
842−385=467→457
279+483=762
654−287=367
538+276=804→814
913−546=377→367
· The addition finale Solution
· Crossing the ten once more Solution
356 + 8 = 356 + 4 + 4 = 10 + 4 = 364
647 + 6 = 647 + 3 + 3 = 10 + 3 = 653
583 + 9 = 583 + 7 + 2 = 10 + 2 = 592
768 + 7 = 768 + 2 + 5 = 10 + 5 = 775
425 + 7 = 425 + 5 + 2 = 10 + 2 = 432
294 + 9 = 294 + 6 + 3 = 10 + 3 = 303
836 + 5 = 836 + 4 + 1 = 10 + 1 = 841
179 + 8 = 179 + 1 + 7 = 10 + 7 = 187
· Compare up to 1000, round 2 Solution
518<581
236<263
794>749
642=642
375<573
907<970
463>436
820>802
591>159
684>468
738<783
295=295
856<865
521>512
349<943
677<767
· Subtraction with jottings Solution
738 − 264 =
= 738 − 260 − 4
= 478 − 4
= 474
652 − 185 =
= 652 − 180 − 5
= 472 − 5
= 467
825 − 347 =
= 825 − 340 − 7
= 485 − 7
= 478
913 − 458 =
= 913 − 450 − 8
= 463 − 8
= 455
566 − 189 =
= 566 − 180 − 9
= 386 − 9
= 377
847 − 362 =
= 847 − 360 − 2
= 487 − 2
= 485
· The subtraction finale Solution
04
Times and divide
· Multiply the big tables Solution
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6=54→6fits into 549times
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8=64→8fits into 648times
7 + 7 + 7 + 7 + 7 + 7=42→7fits into 426times
9 + 9 + 9 + 9 + 9 + 9 + 9 + 9=72→9fits into 728times
· Multiply the dice Solution
· Swap problems in multiplication Solution
6·5=30↔5·6=30
10·6=60↔6·10=60
8·10=80↔10·8=80
7·3=21↔3·7=21
9·10=90↔10·9=90
6·4=24↔4·6=24
9·4=36↔4·9=36
8·7=56↔7·8=56
· Counting on in multiplication steps Solution
· Times as a dot array Solution
· Calculating with core tasks Solution
5 · 7 = 35
1 · 7 = 7
6 · 7 = 42
5 · 7 = 35
2 · 7 = 14
7 · 7 = 49
5 · 9 = 45
1 · 9 = 9
6 · 9 = 54
5 · 9 = 45
2 · 9 = 18
7 · 9 = 63
5 · 3 = 15
1 · 3 = 3
6 · 3 = 18
5 · 3 = 15
2 · 3 = 6
7 · 3 = 21
· Semi-written multiplying Solution
12 · 3 =
= 10 · 3 + 2 · 3
= 30 + 6
= 36
21 · 4 =
= 20 · 4 + 1 · 4
= 80 + 4
= 84
11 · 7 =
= 10 · 7 + 1 · 7
= 70 + 7
= 77
13 · 3 =
= 10 · 3 + 3 · 3
= 30 + 9
= 39
22 · 4 =
= 20 · 4 + 2 · 4
= 80 + 8
= 88
23 · 3 =
= 20 · 3 + 3 · 3
= 60 + 9
= 69
· Times tables Solution
· Times with tens numbers Solution
4×30=120
3×60=180
6×40=240
7×80=560
6×90=540
8×80=640
9×70=630
9×80=720
· Written multiplying Solution
· Big times tables divided Solution
81 : 9 =9
72 : 8 =9
63 : 9 =7
56 : 7 =8
96 : 8 =12
84 : 6 =14
91 : 7 =13
78 : 6 =13
68 : 4 =17
75 : 5 =15
88 : 8 =11
99 : 9 =11
· Dividing with a remainder Solution
83 : 9 =9 R 2
71 : 8 =8 R 7
41 : 7 =5 R 6
67 : 7 =9 R 4
39 : 5 =7 R 4
52 : 8 =6 R 4
44 : 6 =7 R 2
58 : 9 =6 R 4
· Square numbers Solution
2×2=4
3×3=9
4×4=16
5×5=25
6×6=36
7×7=49
8×8=64
9×9=81
· Crossing the ten Solution
27 · 3 =
= 20 · 3 + 7 · 3
= 60 + 21
= 81
18 · 5 =
= 10 · 5 + 8 · 5
= 50 + 40
= 90
16 · 6 =
= 10 · 6 + 6 · 6
= 60 + 36
= 96
17 · 5 =
= 10 · 5 + 7 · 5
= 50 + 35
= 85
19 · 4 =
= 10 · 4 + 9 · 4
= 40 + 36
= 76
28 · 3 =
= 20 · 3 + 8 · 3
= 60 + 24
= 84
· Splitting for multiplication Solution
· With a carry Solution
· Keep skip counting Solution
· Spider wheel - multiplying Solution
· Dividing with a remainder up to 100 Solution
53 : 9 =5 R 8
47 : 6 =7 R 5
51 : 8 =6 R 3
61 : 7 =8 R 5
66 : 7 =9 R 3
74 : 8 =9 R 2
35 : 8 =4 R 3
53 : 6 =8 R 5
· With three-digit numbers Solution
· Even more multiplication tables Solution
· Semi-written dividing Solution
- 30,2,32
- 20,6,26
- 100,1,101
- 90,2,92
- 90,3,93
- 80,6,86
· Divide with big numbers Solution
612 : 6 =102
728 : 8 =91
603 : 3 =201
846 : 6 =141
567 : 7 =81
792 : 9 =88
536 : 8 =67
693 : 7 =99
415 : 5 =83
348 : 4 =87
216 : 6 =36
184 : 8 =23
· Find the gap in the times table Solution
6×7=42
4×8=32
3×9=27
8×6=48
5×8=40
9×4=36
7×8=56
6×9=54
· Spider wheel - divide Solution
· Practice counting rows Solution
· Multiples - even or odd? Solution
· Linking times and divided Solution
3 · 8 = 24
24 + 8 = 3
8 + 24 = 3
8 · 10 = 80
80 + 10 = 8
10 + 80 = 8
8 · 9 = 72
72 + 9 = 8
9 + 72 = 8
3 · 7 = 21
21 + 7 = 3
7 + 21 = 3
10 · 9 = 90
90 + 9 = 10
9 + 90 = 10
7 · 9 = 63
63 + 9 = 7
9 + 63 = 7
6 · 9 = 54
54 + 9 = 6
9 + 54 = 6
4 · 7 = 28
28 + 7 = 4
7 + 28 = 4
4 · 9 = 36
36 + 9 = 4
9 + 36 = 4
· Multiplication and division stories Solution
- 1. 96
- 2. 9
- 3. 54
- 4. 8
- 5. 12
· Dividing with remainder - pro round Solution
93 : 7 =13 R 2
97 : 6 =16 R 1
86 : 9 =9 R 5
95 : 8 =11 R 7
68 : 9 =7 R 5
91 : 6 =15 R 1
79 : 8 =9 R 7
59 : 7 =8 R 3
· Key facts as calculation helpers Solution
5 · 8 = 40
1 · 8 = 8
6 · 8 = 48
5 · 8 = 40
2 · 8 = 16
7 · 8 = 56
5 · 4 = 20
1 · 4 = 4
6 · 4 = 24
5 · 4 = 20
2 · 4 = 8
7 · 4 = 28
5 · 6 = 30
1 · 6 = 6
6 · 6 = 36
5 · 6 = 30
2 · 6 = 12
7 · 6 = 42
· Multiply the dice again Solution
· More times and division Solution
9 · 6 = 54
54 + 6 = 9
6 + 54 = 9
10 · 9 = 90
90 + 9 = 10
9 + 90 = 10
9 · 3 = 27
27 + 3 = 9
3 + 27 = 9
7 · 10 = 70
70 + 10 = 7
10 + 70 = 7
8 · 7 = 56
56 + 7 = 8
7 + 56 = 8
5 · 7 = 35
35 + 7 = 5
7 + 35 = 5
3 · 8 = 24
24 + 8 = 3
8 + 24 = 3
8 · 5 = 40
40 + 5 = 8
5 + 40 = 8
10 · 8 = 80
80 + 8 = 10
8 + 80 = 10
· Multiply with new numbers Solution
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6=60→6fits into 6010times
9 + 9 + 9 + 9 + 9 + 9 + 9=63→9fits into 637times
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8=72→8fits into 729times
7 + 7 + 7 + 7 + 7=35→7fits into 355times
· Continuing rows with confidence Solution
· Spotting swapped facts with confidence Solution
10·9=90↔9·10=90
4·10=40↔10·4=40
4·7=28↔7·4=28
6·5=30↔5·6=30
9·5=45↔5·9=45
7·8=56↔8·7=56
7·9=63↔9·7=63
6·9=54↔9·6=54
· Spider wheel with new numbers Solution
· Dot arrays to practice Solution
· Tricky number stories Solution
- 1. 99
- 2. 12
- 3. 96
- 4. 15
- 5. 84
· Counting rows round two Solution
05
Measurements and measuring
· Reading lengths Solution
· Measuring bars Solution
· Meters, centimeters and grams Solution
3 m =300cm
2 kg =2000g
400 cm =4m
5 m =500cm
3000 g =3kg
700 cm =7m
4 kg =4000g
8 m =800cm
· Comparing weights Solution
2 kg>1900 g
3 kg=3000 g
2500 g<3 kg
4 kg<4100 g
750 g<1 kg
5000 g=5 kg
6 kg>5900 g
8500 g>8 kg
· Which scale fits? Solution
2 kg500 g + 500 g
left heavier500 g1 kg
right heavier1 kg500 g + 500 g
Balanced500 g + 500 g + 500 g1 kg
left heavier200 g + 200 g2 kg
right heavier1 kg + 1 kg2 kg
Balanced2 kg200 g
left heavier1 kg2 kg
right heavier· Working out days on the calendar Solution
1. 10
2. 16
3. 3
4. 5
5. 13
6. 2
· Days and weeks in the calendar Solution
1. 24
2. 21
3. 28. September
4. 20
· Full, half and quarter hours Solution
· Comparing liters and milliliters Solution
1 l>900 ml
2 l<2100 ml
1500 ml<2 l
3 l=3000 ml
250 ml<1 l
4500 ml>4 l
6 l=6000 ml
7 l<7500 ml
O 'clock and half-past times Solution
8:00 → 9:00 :60min
7:00 → 7:30 :30min
14:30 → 15:00 :30min
9:00 → 10:30 :90min
11:30 → 13:00 :90min
6:30 → 8:30 :120min
· Kilometers, liters and millimeters Solution
2 km =2000m
4 l =4000ml
70 mm =7cm
3000 m =3km
6 cm =60mm
2000 ml =2l
5 km =5000m
40 mm =4cm
· How much change? Solution
1. $6
2. $5
3. $17
4. $2
· Euli goes shopping Solution
1. $2 and 35¢
2. $3 and 45¢
3. $4 and 95¢
4. $5 and 80¢
· Weeks and months in the calendar Solution
1. 30
2. 18
3. 1
4. 28
· To the nearest five minutes Solution
· Quarter hours and minutes Solution
8:15 → 9:00 :45min
9:30 → 9:45 :15min
13:05 → 13:25 :20min
16:40 → 17:30 :50min
7:55 → 8:30 :35min
11:35 → 13:15 :100min
· Counting big amounts Solution
· Making amounts with coins Solution
· Adding dollars and cents Solution
1. $7 and 24¢
2. $14 and 23¢
3. $13 and 44¢
4. $16 and 83¢
· Weights and volumes mixed Solution
1 kg>100 g
2 l<2200 ml
650 g<1 kg
9 l=9000 ml
1200 g>1 kg
3 l<3500 ml
2 kg>1900 g
4500 ml<5 l
· All units mixed Solution
4000 m =4km
2 km =2000m
80 mm =8cm
9 cm =90mm
3 t =3000kg
5000 kg =5t
3 l =3000ml
4000 ml =4l
· Matching mixed weights Solution
1 kg + 200 g1200 g
Balanced2 kg1 kg + 500 g
left heavier800 g1 kg
right heavier500 g + 500 g + 500 g1 kg + 500 g
Balanced1 kg + 1 kg1500 g
left heavier300 g1 kg
right heavier2 kg1 kg + 1 kg
Balanced900 g1 kg
right heavier· Long time spans over several hours Solution
8:40 → 11:15 :155min
7:50 → 10:05 :135min
9:15 → 12:00 :165min
6:45 → 9:30 :165min
13:20 → 16:50 :210min
10:10 → 14:25 :255min
· Reading lengths once more Solution
· Clock times to finish Solution
· Comparing measures to finish Solution
3 kg>2900 g
1 l<1100 ml
4200 g>4 kg
5 l=5000 ml
900 g<1 kg
2500 ml<3 l
7 kg<7100 g
6000 ml=6 l
· Matching scales to finish Solution
1 kg + 300 g1300 g
Balanced2 kg2100 g
right heavier1 kg + 500 g1400 g
left heavier600 g + 400 g1 kg
Balanced1 kg + 800 g2 kg
right heavier2 kg + 500 g2400 g
left heavier700 g1 kg
right heavier1 kg + 1 kg + 500 g2500 g
Balanced· Euli goes shopping again Solution
1. $2 and 45¢
2. $3 and 55¢
3. $4 and 15¢
4. $5 and 70¢
· Time spans to finish Solution
7:35 → 10:20 :165min
8:25 → 11:40 :195min
6:50 → 9:05 :135min
12:15 → 15:35 :200min
9:45 → 13:10 :205min
14:30 → 17:55 :205min
· Days on the calendar once more Solution
1. 8
2. 17
3. 3
4. 12
5. 19
6. 4
06
Geometry
· Counting and sorting shapes Solution
· Continuing border patterns Solution
· Finding right angles Solution
· Complete the mirror images Solution
· Covering areas Solution
· Working out the perimeter Solution
- 16 cm
- 20 cm
- 18 cm
- 28 cm
- 22 cm
- 36 cm
· Adding blocks up Solution
· Which one is a cube net? Solution
· Right angles on slopes Solution
· Mirroring at the across axis Solution
· Tricky areas Solution
· Squares and rectangles Solution
- 24 cm
- 30 cm
- 36 cm
- 40 cm
- 20 cm
- 34 cm
· Taking blocks apart Solution
· Which faces do you need? Solution
Cube
Circle 0
Triangle 0
Square 6
Rectangle 0
Box
Circle 0
Triangle 0
Square 0
Rectangle 6
Pyramid
Circle 0
Triangle 4
Square 1
Rectangle 0
Cylinder
Circle 2
Triangle 0
Square 0
Rectangle 0
Cone
Circle 1
Triangle 0
Square 0
Rectangle 0
Sphere
Circle 0
Triangle 0
Square 0
Rectangle 0
· Corners, edges and faces Solution
How many corners does a cube have?8
How many edges does a rectangular prism have?12
How many corners does a pyramid with a square base have?5
How many faces does a cylinder have?3
How many edges does a sphere have?0
How many faces does a cone have?2
07
Word problems and data
· Word problems with two steps Solution
- 1. 406
- 2. 147
- 3. 497
- 4. 42
- 5. 291
· Traffic count in front of the school Solution
· Double big numbers Solution
| 15 | 40 | 65 | 120 | 250 | 380 |
| 30 | 80 | 130 | 240 | 500 | 760 |
| 25 | 70 | 95 | 150 | 320 | 450 |
| 50 | 140 | 190 | 300 | 640 | 900 |
· The club choice Solution
Which club did the most children choose?Computers
How many more children chose soccer than gardening?12
How many children chose soccer and theater together?42
Which club did the fewest children choose?Gardening
· Combining shapes and patterns Solution
· Which bar is wrong? Solution
· Word problems with an extra step Solution
- 1. 375 → 290
- 2. 292 → 108
- 3. 320 → 30
- 4. 350 → 30
- 5. 287 → 502
· Word problems with quantities Solution
- 1. 285
- 2. 200
- 3. 400
- 4. 183
- 5. 175
· Certain, possible or impossible? Solution
I draw a filled, empty or striped marble.certain
I draw a dotted marble.impossible
I draw a filled marble.possible
I draw a striped marble.possible
· Find the wrong bar Solution
· From the table to the chart Solution
· Visitors at the swimming pool Solution
On which day did the most visitors come?Saturday
How many visitors came on Saturday and Sunday together?235
How many more visitors came on Saturday than on Friday?55
On which day did the fewest visitors come?Friday
· Favorite fruit in Class 3b Solution
· Halve big numbers Solution
| 30 | 84 | 120 | 248 | 360 | 500 |
| 15 | 42 | 60 | 124 | 180 | 250 |
| 46 | 92 | 150 | 284 | 420 | 640 |
| 23 | 46 | 75 | 142 | 210 | 320 |
· From the chart to the table Solution
SportNumber
Football9
Swimming6
Dance4
Gymnastics7
Which sport is the most popular?Football
08
Mixed practice
· Addition in the big number range Solution
523+345=868
612+283=895
484+274=758
188+356=544
637+281=918
337+391=728
256+128=384
749+237=986
· Compare once more Solution
364>346
218<281
573>537
492>429
615=615
287>278
834<843
956<965
123<132
745<754
309<390
681>618
527<572
469=469
812<821
358<385
· Neighboring numbers once more Solution
· Sort once more Solution
· Break into hundreds and rest Solution
· Number walls once more Solution
· Calculation tables once more Solution
· Swap tasks with addition Solution
264+138=402↔138+264=402
452+317=769↔317+452=769
189+276=465↔276+189=465
563+241=804↔241+563=804
398+152=550↔152+398=550
471+326=797↔326+471=797
218+365=583↔365+218=583
542+187=729↔187+542=729
· Inverse tasks once more Solution
236 + 415 = 651
651 − 415 = 236
651 − 236 = 415
347 + 258 = 605
605 − 258 = 347
605 − 347 = 258
129 + 564 = 693
693 − 564 = 129
693 − 129 = 564
482 + 317 = 799
799 − 317 = 482
799 − 482 = 317
195 + 376 = 571
571 − 376 = 195
571 − 195 = 376
263 + 548 = 811
811 − 548 = 263
811 − 263 = 548
371 + 206 = 577
577 − 206 = 371
577 − 371 = 206
154 + 429 = 583
583 − 429 = 154
583 − 154 = 429
518 + 267 = 785
785 − 267 = 518
785 − 518 = 267
· Which is more likely? Solution
Which is more likely, drawing a filled marble or a dotted one?the filled one
And which is less likely, drawing a filled marble or a dotted one?the dotted one
Which is more likely, drawing a dotted marble or an empty one?the dotted one
What are you certain to draw, a filled marble or any marble at all?any marble
· Rounding once more Solution
263≈260
417≈420
528≈530
672≈670
384≈380
759≈760
846≈850
915≈920
· Division once more Solution
693 : 7 =99
648 : 8 =81
581 : 7 =83
96 : 6 =16
117 : 9 =13
128 : 8 =16
645 : 5 =129
712 : 8 =89
801 : 9 =89
105 : 7 =15
132 : 6 =22
126 : 9 =14
· Division with remainder once more Solution
527 : 6 =87 R 5
618 : 7 =88 R 2
53 : 6 =8 R 5
68 : 7 =9 R 5
742 : 8 =92 R 6
59 : 7 =8 R 3
845 : 9 =93 R 8
76 : 8 =9 R 4
· Break down to the tens Solution
· Swap tasks with multiplication Solution
9·7=63↔7·9=63
8·70=560↔70·8=560
6·4=24↔4·6=24
9·60=540↔60·9=540
70·9=630↔9·70=630
6·90=540↔90·6=540
9·4=36↔4·9=36
7·80=560↔80·7=560
· Semi-written calculation once more Solution
52 + 39 =
= 50 + 30 + 2 + 9
= 80 + 11
= 91
46 + 58 =
= 40 + 50 + 6 + 8
= 90 + 14
= 104
67 + 25 =
= 60 + 20 + 7 + 5
= 80 + 12
= 92
38 + 56 =
= 30 + 50 + 8 + 6
= 80 + 14
= 94
59 + 42 =
= 50 + 40 + 9 + 2
= 90 + 11
= 101
63 + 27 =
= 60 + 20 + 3 + 7
= 80 + 10
= 90
· Multiply once more Solution
90 + 90 + 90 + 90 + 90 + 90=540→90fits into 5406times
80 + 80 + 80 + 80 + 80 + 80 + 80=560→80fits into 5607times
90 + 90 + 90 + 90 + 90 + 90 + 90 + 90=720→90fits into 7208times
70 + 70 + 70 + 70=280→70fits into 2804times
· Equally likely? Solution
Which is more likely, drawing a striped marble or an empty one?exactly equal
Which is more likely, drawing a striped marble or a dotted one?the striped one
Which is more likely, drawing an empty marble or a dotted one?the empty one
You want to draw a dotted marble. Is that certain or impossible?impossible
· Column addition once more Solution
· Column subtraction once more Solution
· Addition and subtraction mixed Solution
416+283=699
527+315=842
477+196=673
738−254=484
861−332=529
593−187=406
349+428=777
915−368=547
· Sort to finish Solution
· Word problems once more Solution
- 1. 639
- 2. 228
- 3. 413
- 4. 175
- 5. 743
· Filled or striped? Solution
Which is more likely, drawing a striped marble or a filled one?the striped one
How many more striped marbles than filled marbles are in the bag?2
Which is more likely, drawing a marble with stripes or without?the striped one
What is true for a filled marble, possible or impossible?possible
09
Even more practice
· Compare again Solution
385>358
276>267
738<783
961>916
826<862
945<954
692>629
174>147
843>834
351>315
517<571
674>647
482>428
563=563
408<480
219<291
· Neighboring numbers again Solution
· Ten less and ten more Solution
· Sort again Solution
· Break into hundreds and rest, again Solution
· Number walls again Solution
· Calculation tables again Solution
· Swap tasks with addition, again Solution
327+145=472↔145+327=472
456+289=745↔289+456=745
178+362=540↔362+178=540
534+217=751↔217+534=751
391+148=539↔148+391=539
462+317=779↔317+462=779
209+356=565↔356+209=565
543+176=719↔176+543=719
· Inverse tasks again Solution
214 + 368 = 582
582 − 368 = 214
582 − 214 = 368
329 + 247 = 576
576 − 247 = 329
576 − 329 = 247
156 + 489 = 645
645 − 489 = 156
645 − 156 = 489
437 + 258 = 695
695 − 258 = 437
695 − 437 = 258
192 + 376 = 568
568 − 376 = 192
568 − 192 = 376
284 + 519 = 803
803 − 519 = 284
803 − 284 = 519
365 + 247 = 612
612 − 247 = 365
612 − 365 = 247
178 + 436 = 614
614 − 436 = 178
614 − 178 = 436
521 + 289 = 810
810 − 289 = 521
810 − 521 = 289
· Multiply again Solution
80 + 80 + 80 + 80 + 80 + 80 + 80 + 80=640→80fits into 6408times
90 + 90 + 90 + 90 + 90 + 90 + 90=630→90fits into 6307times
70 + 70 + 70 + 70 + 70 + 70=420→70fits into 4206times
70 + 70 + 70 + 70 + 70 + 70 + 70 + 70=560→70fits into 5608times
· Rounding again Solution
342≈340
587≈590
219≈220
764≈760
436≈440
891≈890
156≈160
673≈670
· Division again Solution
732 : 6 =122
576 : 8 =72
637 : 7 =91
432 : 9 =48
315 : 5 =63
512 : 8 =64
126 : 7 =18
864 : 6 =144
603 : 9 =67
96 : 8 =12
245 : 5 =49
108 : 6 =18
· Division with remainder again Solution
438 : 5 =87 R 3
571 : 6 =95 R 1
561 : 8 =70 R 1
674 : 9 =74 R 8
683 : 7 =97 R 4
58 : 6 =9 R 4
726 : 8 =90 R 6
83 : 9 =9 R 2
· Break down to the tens, again Solution
· Swap tasks with multiplication, again Solution
8·6=48↔6·8=48
9·70=630↔70·9=630
7·4=28↔4·7=28
8·80=640↔80·8=640
80·7=560↔7·80=560
7·90=630↔90·7=630
8·4=32↔4·8=32
60·9=540↔9·60=540
· Subtraction in the big number range Solution
837−254=583
612−323=289
634−176=458
745−368=377
503−256=247
780−219=561
928−453=475
667−469=198
· Sort a third time Solution
· Semi-written calculation again Solution
48 + 37 =
= 40 + 30 + 8 + 7
= 70 + 15
= 85
56 + 27 =
= 50 + 20 + 6 + 7
= 70 + 13
= 83
63 + 24 =
= 60 + 20 + 3 + 4
= 80 + 7
= 87
39 + 47 =
= 30 + 40 + 9 + 7
= 70 + 16
= 86
58 + 33 =
= 50 + 30 + 8 + 3
= 80 + 11
= 91
46 + 27 =
= 40 + 20 + 6 + 7
= 60 + 13
= 73
· Column addition again Solution
· Column subtraction again Solution
· Final sprint: number tree Solution
· Compare a third time Solution
407<470
683>638
925=925
316<361
574>547
269<296
851>815
703=703
482<824
195>159
647<674
382>328
960=960
235<253
791>719
846<864
· Who am I? Once more Solution
- I have 3 hundreds.
- My tens digit is 6.
- My ones digit is 9.
Solution: 369
- I am bigger than 500.
- I am smaller than 510.
- I am even.
- My ones digit is 6.
Solution: 506
- I am a round hundred.
- I am bigger than 200.
- If you halve me, you get 350.
Solution: 700
- My tens digit is 4.
- My ones digit is 2.
- My hundreds digit is three times as big as my ones digit.
Solution: 642
· Double again Solution
| 35 | 60 | 85 | 140 | 270 | 390 |
| 70 | 120 | 170 | 280 | 540 | 780 |
| 45 | 80 | 105 | 160 | 330 | 460 |
| 90 | 160 | 210 | 320 | 660 | 920 |
· Addition and subtraction mixed, again Solution
376+258=634
512+367=879
337+246=583
829−351=478
674−376=298
632−187=445
463+275=738
951−384=567
· Word problems again Solution
- 1. 564
- 2. 238
- 3. 573
- 4. 215
- 5. 652
· Division with remainder a third time Solution
527 : 6 =87 R 5
463 : 7 =66 R 1
815 : 9 =90 R 5
349 : 8 =43 R 5
752 : 5 =150 R 2
67 : 8 =8 R 3
934 : 7 =133 R 3
94 : 6 =15 R 4
· Multiply a third time Solution
90 + 90 + 90 + 90 + 90 + 90 + 90 + 90=720→90fits into 7208times
80 + 80 + 80 + 80 + 80 + 80 + 80=560→80fits into 5607times
60 + 60 + 60 + 60 + 60 + 60 + 60 + 60 + 60=540→60fits into 5409times
70 + 70 + 70 + 70 + 70 + 70 + 70 + 70 + 70=630→70fits into 6309times
10
Puzzling and playing
· Magic square - sum 15 Solution
· Magic triangles - sum 25 Solution
· Big math square Solution
· Secret wizard writing Solution
🔮 = 45🐉 = 28🗝️ = 36🍄 = 17
🔮+🐉=73
🗝️+🍄=53
🐉+🗝️=64
🔮−🍄=28
🗝️−🐉=8
🔮−🗝️=9
🔮+🍄=62
🐉+🍄=45
🔮−🐉=17
· Arrow arithmetic up to 100 Solution
· Spider wheel - big tables Solution
· Which number comes next? Solution
· Number magic in the grid Solution
· Difficult magic square - sum 15 Solution
· Clues to the ingredient Solution
· Find the right path! Solution
· Escape the number dungeon! Solution
· Magic square - sum 60 Solution
· Pick the right cards Solution
· Boss level: Grade 3 Solution
- 83,79,162
- 81,80,161
- 101,99,200
- 83,67,150,175,300
- 90,75,165,200,350
- 107,93,200,250,500
→