01
Big numbers up to 1,000,000
· Big numbers in the place value chart Solution
| T | H | Z | E |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
= 1234
| T | H | Z | E |
|---|---|---|---|
| 5 | 6 | 7 | 8 |
= 5678
| T | H | Z | E |
|---|---|---|---|
| 9 | 0 | 8 | 1 |
= 9081
| T | H | Z | E |
|---|---|---|---|
| 2 | 4 | 5 | 6 |
= 2456
| T | H | Z | E |
|---|---|---|---|
| 7 | 3 | 9 | 2 |
= 7392
| T | H | Z | E |
|---|---|---|---|
| 6 | 0 | 1 | 5 |
= 6015
| T | H | Z | E |
|---|---|---|---|
| 8 | 3 | 4 | 7 |
= 8347
| T | H | Z | E |
|---|---|---|---|
| 3 | 7 | 2 | 9 |
= 3729
| T | H | Z | E |
|---|---|---|---|
| 4 | 5 | 8 | 6 |
= 4586
| T | H | Z | E |
|---|---|---|---|
| 9 | 0 | 5 | 2 |
= 9052
| T | H | Z | E |
|---|---|---|---|
| 1 | 6 | 7 | 3 |
= 1673
| T | H | Z | E |
|---|---|---|---|
| 2 | 9 | 4 | 8 |
= 2948
· Sort from small to large! Solution
· Hundred thousands on the number line Solution
· Compare the big numbers Solution
623456<891234
567890=567890
734567>725134
454321>445321
998765>989765
236541<263541
45678<87654
71823=71823
565432<656432
88453>87921
385213<835213
192340<921340
· Rounding to thousands Solution
234617≈235000
41850≈42000
128390≈128000
563472≈563000
617845≈618000
748163≈748000
825609≈826000
936284≈936000
· Splitting even bigger numbers Solution
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 1 | 8 | 3 | 9 | 4 | 7 |
= 183947
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 5 | 0 | 2 | 6 | 7 | 1 |
= 502671
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 7 | 6 | 4 | 3 | 2 | 8 |
= 764328
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 9 | 1 | 8 | 2 | 5 | 4 |
= 918254
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 3 | 0 | 6 | 5 | 9 | 2 |
= 306592
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 6 | 4 | 7 | 1 | 8 | 3 |
= 647183
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 8 | 2 | 9 | 4 | 1 | 0 |
= 829410
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 5 | 7 | 3 | 9 | 2 | 6 |
= 573926
· Neighbor numbers up to 10,000 Solution
· Thousand steps on the number line Solution
· Sort from big to small! Solution
· In steps of 10,000 and 100,000 Solution
· Building the number from the place values Solution
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 2 | 9 | 4 | 6 | 1 | 7 |
= 294617
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 5 | 3 | 8 | 0 | 2 | 4 |
= 538024
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 7 | 1 | 6 | 4 | 9 | 3 |
= 716493
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 4 | 8 | 2 | 7 | 5 | 6 |
= 482756
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 9 | 0 | 3 | 5 | 8 | 1 |
= 903581
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 6 | 4 | 7 | 2 | 9 | 0 |
= 647290
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 3 | 7 | 5 | 9 | 4 | 2 |
= 375942
| HT | ZT | T | H | Z | E |
|---|---|---|---|---|---|
| 8 | 2 | 6 | 1 | 7 | 5 |
= 826175
· Neighbor numbers up to 1,000,000 Solution
· Who am I? Solution
- I have 3 hundred thousands.
- My ten thousands and thousands digits are 8 and 4.
- My hundreds, tens and ones digits are 5, 1 and 9.
Solution: 384519
- I am greater than 500,000 and smaller than 600,000.
- My ten thousands and thousands digits are 2 and 6.
- My hundreds, tens and ones digits are all 0.
Solution: 526000
- I am a pure hundred thousands number.
- I am greater than 700,000.
- If you halve me, you get 400,000.
Solution: 800000
- My hundred thousands digit is 6.
- My ten thousands digit is half as big as my hundred thousands digit.
- My thousands, hundreds and tens digits are all 0.
- My ones digit is twice as big as my ten thousands digit.
Solution: 630006
· Almost the same, but not quite Solution
890234>809234
512345<521345
398765>389765
945123<954123
734512<734521
198765>189765
456789<465789
682345<682435
623456<623465
745123=745123
267890<276890
87654>87645
· Rounding to ten thousands Solution
34617≈30000
128463≈130000
262918≈260000
547236≈550000
615472≈620000
733891≈730000
856104≈860000
924785≈920000
· Writing big numbers Solution
· Even more number secrets Solution
- I am greater than 240,000 and smaller than 250,000.
- My thousands and hundreds digits are 3 and 7.
- My tens and ones digits are 8 and 4.
Solution: 243784
- I have 6 hundred thousands and 1 ten thousand.
- My thousands and hundreds digits are 9 and 0.
- My tens and ones digits are 5 and 2.
Solution: 619052
- I have 8 hundred thousands.
- My ten thousands digit is half as big as my hundred thousands digit.
- My thousands, hundreds and tens digits are all 0.
- My ones digit is the biggest single digit.
Solution: 840009
- I am greater than 900,000.
- I am an even number.
- My ten thousands, thousands, hundreds and tens digits are all 0.
- My ones digit is 6.
Solution: 900006
· In steps of 25,000 and 50,000 Solution
· Rounding to hundred thousands Solution
148372≈100000
152941≈200000
347128≈300000
353862≈400000
646295≈600000
654713≈700000
847356≈800000
853194≈900000
02
Written arithmetic
· Big numbers semi-written Solution
341 + 256 =
= 340 + 250 + 1 + 6
= 590 + 7
= 597
524 + 173 =
= 520 + 170 + 4 + 3
= 690 + 7
= 697
617 + 251 =
= 610 + 250 + 7 + 1
= 860 + 8
= 868
438 + 351 =
= 430 + 350 + 8 + 1
= 780 + 9
= 789
762 + 125 =
= 760 + 120 + 2 + 5
= 880 + 7
= 887
926 + 143 =
= 920 + 140 + 6 + 3
= 1060 + 9
= 1069
· Number walls up to 1,000,000 Solution
· Written addition without a carry Solution
· Written subtraction without regrouping Solution
· Written multiplying with two places Solution
· Reverse tasks up to 1,000,000 Solution
357177 + 354134 = 711311
711311 − 354134 = 357177
711311 − 357177 = 354134
356890 + 376255 = 733145
733145 − 376255 = 356890
733145 − 356890 = 376255
568290 + 209563 = 777853
777853 − 209563 = 568290
777853 − 568290 = 209563
216815 + 378387 = 595202
595202 − 378387 = 216815
595202 − 216815 = 378387
169347 + 344143 = 513490
513490 − 344143 = 169347
513490 − 169347 = 344143
279069 + 184341 = 463410
463410 − 184341 = 279069
463410 − 279069 = 184341
· Written addition with a carry Solution
· Subtracting with regrouping Solution
· Written division without a remainder Solution
· Mental arithmetic with numbers up to 10,000 Solution
1234+2143=3377
3421+4233=7654
3165+2317=5482
6789−1234=5555
8765−5344=3421
6455−2134=4321
4567+1234=5801
2314+4475=6789
· Estimating with hundreds Solution
4238 + 3891 ≈8100
6790 - 2940 ≈3900
3170 + 4620 ≈7800
8340 - 3810 ≈4500
5260 + 2730 ≈8000
7480 - 4390 ≈3100
· Written addition: big numbers Solution
· Written subtraction: big numbers Solution
· Dividing by bigger divisors Solution
· Mental arithmetic with numbers up to 100,000 Solution
12345+21433=33778
23451+44435=67886
37112+21374=58486
67894−21343=46551
87654−53133=34521
64567−21345=43222
45678+12311=57989
23145+44742=67887
· Estimating with big numbers Solution
412300 + 297600 ≈710000
689400 - 295100 ≈394000
234800 + 349200 ≈584000
718600 - 382300 ≈337000
523400 + 264900 ≈788000
846200 - 479800 ≈366000
· Crossing the ten Solution
1467 + 2358 =
= 1460 + 2350 + 7 + 8
= 3810 + 15
= 3825
3286 + 4159 =
= 3280 + 4150 + 6 + 9
= 7430 + 15
= 7445
5734 + 1298 =
= 5730 + 1290 + 4 + 8
= 7020 + 12
= 7032
2649 + 3187 =
= 2640 + 3180 + 9 + 7
= 5820 + 16
= 5836
4573 + 2869 =
= 4570 + 2860 + 3 + 9
= 7430 + 12
= 7442
6381 + 2949 =
= 6380 + 2940 + 1 + 9
= 9320 + 10
= 9330
· Even More Number Walls Solution
· With bigger numbers Solution
· More reverse tasks Solution
136437 + 361194 = 497631
497631 − 361194 = 136437
497631 − 136437 = 361194
188929 + 320959 = 509888
509888 − 320959 = 188929
509888 − 188929 = 320959
203848 + 137685 = 341533
341533 − 137685 = 203848
341533 − 203848 = 137685
202713 + 173952 = 376665
376665 − 173952 = 202713
376665 − 202713 = 173952
410605 + 236531 = 647136
647136 − 236531 = 410605
647136 − 410605 = 236531
503036 + 188186 = 691222
691222 − 188186 = 503036
691222 − 503036 = 188186
· Written division with a remainder Solution
· Mental arithmetic with numbers up to 1,000,000 Solution
241352+125413=366765
541623+234152=775775
876543−342132=534411
789654−234123=555531
· Euli has miscalculated again Solution
528620+261999=790619
387609−58953=328756→328656
397918+297736=695654
436632−150661=286971→285971
· Subtracting with several regroupings Solution
· Three-digit times two-digit Solution
· Addition with several addends Solution
· Mental arithmetic with six-digit numbers Solution
348572+275169=623741
528729+384726=913455
934251−346617=587634
815236−379548=435688
· Estimating with ten thousands Solution
384700 + 271500 ≈650000
716200 - 293800 ≈430000
458300 + 326900 ≈790000
893600 - 447200 ≈440000
265400 + 538100 ≈810000
947300 - 562600 ≈390000
· Euli checks the sums again Solution
463815+274906=738721
812340−96475=725865→715865
259438+168295=427633→427733
694027−385119=308908
03
Multiplication and Division
· 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 · 12 = 60
1 · 12 = 12
6 · 12 = 72
5 · 12 = 60
2 · 12 = 24
7 · 12 = 84
· Divided without a remainder Solution
14 : 2 =7
24 : 3 =8
20 : 4 =5
30 : 5 =6
54 : 6 =9
28 : 7 =4
80 : 8 =10
27 : 9 =3
26 : 2 =13
36 : 3 =12
44 : 4 =11
70 : 5 =14
· Dividing with a remainder Solution
25 : 4 =6 R 1
34 : 5 =6 R 4
47 : 6 =7 R 5
29 : 3 =9 R 2
53 : 7 =7 R 4
38 : 4 =9 R 2
45 : 8 =5 R 5
59 : 9 =6 R 5
· Times and divided stories Solution
- 1. 7500
- 2. 600
- 3. 3600
- 4. 800
- 5. 1008
· Multiply the big tables Solution
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6=48→6fits into 488times
7 + 7 + 7 + 7 + 7 + 7=42→7fits into 426times
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8=72→8fits into 729times
9 + 9 + 9 + 9 + 9 + 9 + 9=63→9fits into 637times
· Times before plus Solution
3 + 4 · 5 =23
6 · 2 + 5 =17
20 − 3 · 4 =8
7 · 3 − 9 =12
4 · 5 + 6 =26
30 − 4 · 6 =6
8 + 5 · 2 =18
9 · 2 + 7 =25
· Semi-written multiplying Solution
32 · 4 =
= 30 · 4 + 2 · 4
= 120 + 8
= 128
26 · 7 =
= 20 · 7 + 6 · 7
= 140 + 42
= 182
24 · 6 =
= 20 · 6 + 4 · 6
= 120 + 24
= 144
35 · 4 =
= 30 · 4 + 5 · 4
= 120 + 20
= 140
45 · 3 =
= 40 · 3 + 5 · 3
= 120 + 15
= 135
37 · 5 =
= 30 · 5 + 7 · 5
= 150 + 35
= 185
· Divided by tens numbers Solution
20 : 10 =2
30 : 10 =3
40 : 10 =4
50 : 10 =5
60 : 10 =6
70 : 10 =7
80 : 10 =8
90 : 10 =9
40 : 20 =2
60 : 20 =3
80 : 20 =4
90 : 30 =3
· Times tables Solution
· Multiples of the tens number Solution
20 + 20 + 20 + 20 + 20 + 20 + 20=140→20fits into 1407times
30 + 30 + 30 + 30 + 30 + 30 + 30=210→30fits into 2107times
40 + 40 + 40 + 40 + 40 + 40 + 40 + 40=320→40fits into 3208times
50 + 50 + 50 + 50 + 50 + 50 + 50 + 50 + 50=450→50fits into 4509times
· Dividing with a remainder up to 100 Solution
31 : 7 =4 R 3
46 : 9 =5 R 1
17 : 5 =3 R 2
61 : 7 =8 R 5
53 : 8 =6 R 5
85 : 9 =9 R 4
44 : 6 =7 R 2
69 : 6 =11 R 3
· Times before plus with brackets Solution
( 8 + 4 ) · 3 =36
( 20 − 5 ) : 3 =5
40 − ( 6 + 4 ) · 2 =20
( 12 − 3 ) · 5 =45
( 30 : 6 ) + 8 =13
6 · ( 7 − 2 ) =30
( 9 + 6 ) : 5 =3
50 − ( 8 · 4 ) =18
· Divided with bigger numbers Solution
45 : 5 =9
56 : 7 =8
63 : 9 =7
72 : 8 =9
84 : 7 =12
88 : 8 =11
91 : 7 =13
95 : 5 =19
98 : 7 =14
99 : 9 =11
76 : 4 =19
78 : 6 =13
· Multiplying with crossing the ten Solution
48 · 6 =
= 40 · 6 + 8 · 6
= 240 + 48
= 288
56 · 7 =
= 50 · 7 + 6 · 7
= 350 + 42
= 392
67 · 5 =
= 60 · 5 + 7 · 5
= 300 + 35
= 335
43 · 8 =
= 40 · 8 + 3 · 8
= 320 + 24
= 344
58 · 6 =
= 50 · 6 + 8 · 6
= 300 + 48
= 348
74 · 5 =
= 70 · 5 + 4 · 5
= 350 + 20
= 370
· Times with tens numbers Solution
3×40=120
4×50=200
5×60=300
6×70=420
7×80=560
8×90=720
9×30=270
4×90=360
· Times tables with tens numbers Solution
· Multiples of two-digit numbers Solution
24 + 24 + 24 + 24 + 24 + 24 + 24 + 24 + 24 + 24 + 24 + 24=288→24fits into 28812times
35 + 35 + 35 + 35 + 35 + 35 + 35 + 35 + 35=315→35fits into 3159times
45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45=495→45fits into 49511times
16 + 16 + 16 + 16 + 16 + 16 + 16 + 16 + 16 + 16 + 16 + 16 + 16=208→16fits into 20813times
· Dividing with a remainder up to 1000 Solution
125 : 6 =20 R 5
143 : 8 =17 R 7
217 : 9 =24 R 1
184 : 7 =26 R 2
251 : 4 =62 R 3
309 : 7 =44 R 1
425 : 9 =47 R 2
166 : 7 =23 R 5
· Times with hundreds numbers Solution
3×200=600
4×300=1200
5×400=2000
6×500=3000
7×600=4200
8×700=5600
9×800=7200
6×900=5400
· Times tables with hundreds numbers Solution
· Big times and divided tasks Solution
- 1. 25200
- 2. 12000
- 3. 38250
- 4. 14000
- 5. 36000
· Dividing hundreds and thousands Solution
2400 : 6 =400
4800 : 8 =600
6300 : 9 =700
6400 : 2 =3200
3600 : 4 =900
5600 : 7 =800
1500 : 5 =300
3500 : 7 =500
5400 : 3 =1800
7200 : 6 =1200
4200 : 2 =2100
1600 : 8 =200
· Times before plus with divided Solution
72 : 8 + 15 =24
( 45 : 5 ) · 4 =36
6 · 9 − 54 : 6 =45
90 − 7 · 8 =34
81 : 9 + 6 · 7 =51
( 60 − 12 ) : 6 =8
3 · ( 24 : 4 ) =18
96 : 8 · 5 =60
04
Quantities and scale
· Reading lengths Solution
· Kilometers, tonnes and grams Solution
3 km =3000m
4 t =4000kg
6000 m =6km
7000 kg =7t
5 kg =5000g
9 t =9000kg
2000 m =2km
8000 g =8kg
· From the model to reality Solution
Scale 1 : 100
3 cm →300cm
6 cm →600cm
11 cm →1100cm
25 cm →2500cm
9 cm →900cm
40 cm →4000cm
17 cm →1700cm
30 cm →3000cm
· Measuring and comparing bars Solution
· Comparing weights Solution
2 kg>1950 g
3000 g=3 kg
5 kg>4800 g
750 g<1 kg
6 kg<6250 g
8000 g=8 kg
4 kg>3900 g
9500 g<10 kg
· Days and weeks in the calendar Solution
1. 19. Mai
2. 21
3. 6. Juni
4. 23. März
· Converting meters and centimeters Solution
2 m =200cm
500 cm =5m
1 m 50 cm =150cm
375 cm =3 m 75 cm
4 m =400cm
800 cm =8m
2 m 25 cm =225cm
640 cm =6 m 40 cm
3 m =300cm
600 cm =6m
1 m 75 cm =175cm
425 cm =4 m 25 cm
6 m =600cm
900 cm =9m
3 m 40 cm =340cm
560 cm =5 m 60 cm
· Hours, minutes and seconds Solution
2 h =120min
3 min =180s
180 min =3h
240 s =4min
5 h =300min
4 min =240s
360 min =6h
120 s =2min
· From the map to reality Solution
Scale 1 : 1000
12 cm →12000cm
15 cm →15000cm
23 cm →23000cm
34 cm →34000cm
27 cm →27000cm
46 cm →46000cm
18 cm →18000cm
35 cm →35000cm
· Which Scale Fits? Solution
2 kg1 kg + 1 kg
Balanced500 g + 500 g2 kg
right heavier3 kg1 kg + 500 g
left heavier1 kg + 500 g2 kg
right heavier200 g + 300 g1 kg
right heavier2 kg + 1 kg3 kg
Balanced4 kg2 kg + 1 kg
left heavier1 kg500 g + 200 g
left heavier· Comparing liters and milliliters Solution
2 l>1950 ml
3000 ml=3 l
1500 ml<2 l
5 l>4800 ml
250 ml<1 l
6000 ml=6 l
4 l<4300 ml
7 l>6500 ml
· Beyond the year in the calendar Solution
1. 15. Januar
2. 9
3. 17. Dezember
4. 3. Dezember
· Full, half and quarter hours Solution
O 'clock and half-past times Solution
8:00 → 9:00 :60min
7:00 → 7:30 :30min
10:30 → 12:00 :90min
14:00 → 16:00 :120min
9:30 → 10:00 :30min
6:00 → 8:30 :150min
· Adding dollars and cents Solution
1. $37 and 44¢
2. $25 and 25¢
3. $38 and 44¢
4. $63 and 95¢
· Counting big amounts Solution
· To the nearest five minutes Solution
· Quarter hours and minutes Solution
8:15 → 9:00 :45min
10:45 → 11:30 :45min
13:20 → 14:00 :40min
15:50 → 17:00 :70min
7:35 → 8:15 :40min
9:10 → 11:25 :135min
· Adding up bigger amounts Solution
1. $224 and 40¢
2. $138 and 33¢
3. $269 and 94¢
4. $82 and 14¢
· Mixed units Solution
4 km =4000m
9000 m =9km
3 t =3000kg
7000 kg =7t
5 kg =5000g
8000 g =8kg
25 € =2500ct
4300 ct =43€
· From reality to the map Solution
Scale 1 : 250
750 cm →3cm
1250 cm →5cm
2750 cm →11cm
3250 cm →13cm
4750 cm →19cm
5250 cm →21cm
6750 cm →27cm
8250 cm →33cm
05
Geometry
· Complete the mirror images Solution
· Counting Shapes Solution
· Continue the Pattern Solution
· Finding right angles Solution
· Adding blocks up Solution
· Covering areas Solution
· Perimeter and area Solution
A = 15 cm²
U = 16 cm
A = 24 cm²
U = 20 cm
A = 16 cm²
U = 20 cm
A = 35 cm²
U = 24 cm
· Mirroring at the across axis Solution
· Difficult patterns Solution
· Points in the coordinate system Solution
A: (2 | 3)
B: (5 | 1)
C: (1 | 5)
D: (4 | 4)
· Counting shapes exactly Solution
· Reading coordinates Solution
A: (3 | 2)
B: (6 | 5)
C: (1 | 4)
D: (5 | 6)
· Right angles on slopes Solution
· Tricky areas Solution
· Calculating perimeter and area Solution
A = 54 cm²
U = 30 cm
A = 48 cm²
U = 32 cm
A = 70 cm²
U = 34 cm
A = 64 cm²
U = 32 cm
· Which one is a cube net? Solution
· Counting shapes safely Solution
· Reading points safely Solution
A: (4 | 1)
B: (2 | 6)
C: (6 | 3)
D: (3 | 5)
· Corners, edges and faces Solution
How many faces does a cube have?6
How many corners does a cube have?8
How many edges does a cube have?12
How many corners does a rectangular prism have?8
How many edges does a rectangular prism have?12
How many corners does a pyramid with a square base have?5
· 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
· Bigger rectangles and squares Solution
A = 384 cm²
U = 80 cm
A = 225 cm²
U = 60 cm
A = 576 cm²
U = 100 cm
A = 378 cm²
U = 82 cm
06
Word problems, data and chance
· Word problems with two steps Solution
- 1. 14100
- 2. 680
- 3. 3650
- 4. 2500
- 5. 1080
· Certain, possible or impossible? Solution
I draw a filled marble.possible
I draw a dotted marble.impossible
I draw a filled or empty marble.certain
I draw an empty marble.possible
· Car colors in front of the school Solution
· Double big numbers Solution
| 15000 | 42000 | 130000 | 240000 | 315000 | 480000 |
| 30000 | 84000 | 260000 | 480000 | 630000 | 960000 |
| 25000 | 70000 | 160000 | 250000 | 305000 | 460000 |
| 50000 | 140000 | 320000 | 500000 | 610000 | 920000 |
· Finding combinations Solution
· From the table to the chart Solution
BookNumber
Mystery8
Comic12
Non-fiction6
Fairy tale9
What was borrowed the most?Comic
· Word problems with three steps Solution
- 1. 30100
- 2. 1100
- 3. 16200
- 4. 19400
- 5. 385
· Borrowing from the library Solution
· Again: certain, possible, impossible Solution
I draw two filled marbles one after the other.possible
I draw a striped marble.impossible
I draw one marble.certain
My first marble is empty.possible
· Combining systematically Solution
· Always the half Solution
| 40000 | 86000 | 124000 | 264000 | 470000 | 620000 |
| 20000 | 43000 | 62000 | 132000 | 235000 | 310000 |
| 68000 | 92000 | 180000 | 340000 | 540000 | 900000 |
| 34000 | 46000 | 90000 | 170000 | 270000 | 450000 |
· Visitors at the theme park Solution
On which day did the most visitors come?Saturday
How many visitors came on Thursday and Friday together?8000
How many more visitors came on Saturday than on Thursday?3300
On which day did the fewest visitors come?Thursday
· Word problems with big numbers Solution
- 1. 212000
- 2. 100000
- 3. 55000
- 4. 155000
- 5. 585000
· Tickets sold Solution
How many tickets were sold in total?74000
How many more tickets were sold for the train than for the ferry?25000
How many tickets were sold for bus and tram together?31000
How many more tickets were sold for the bus than for the ferry?3500
· Counting all possibilities Solution
07
Fractions and parts
· Which fraction is colored? Solution
· Half and a quarter Solution
1/2 of 40 m =20m
1/2 of 26 kg =13kg
1/2 of 500 g =250g
1/2 of 18 l =9l
1/4 of 40 m =10m
1/4 of 24 kg =6kg
1/4 of 200 g =50g
1/4 of 36 l =9l
· Which fraction is bigger? Solution
· Fractions on rectangles and bars Solution
· Thirds and fifths Solution
1/3 of 90 cm =30cm
1/3 of 27 kg =9kg
1/3 of 600 m =200m
1/3 of 150 ml =50ml
1/5 of 45 l =9l
1/5 of 250 g =50g
1/5 of 100 cm =20cm
1/5 of 80 m =16m
· Same number of parts, different size Solution
· Fifths and sixths Solution
· Several parts at once Solution
3/4 of 400 m =300m
2/3 of 600 kg =400kg
3/4 of 200 g =150g
2/5 of 450 l =180l
3/5 of 500 cm =300cm
2/3 of 120 ml =80ml
3/4 of 480 kg =360kg
4/5 of 250 m =200m
· Equal or not? Solution
· Eighths and tenths Solution
· Sixths and eighths Solution
1/8 of 400 m =50m
3/8 of 240 kg =90kg
5/8 of 160 l =100l
7/8 of 320 m =280m
1/6 of 300 g =50g
5/6 of 180 cm =150cm
1/6 of 900 ml =150ml
5/6 of 600 m =500m
A close call Solution
08
Puzzles and Games
· Magic square - sums 60, 90, 120 Solution
· Magic triangles with tens numbers Solution
· Big math square Solution
· Spider wheel - times tables Solution
· Arrow arithmetic up to 1000 Solution
· Calculate with the cards Solution
· Find the secret ingredient! Solution
· Find the way out of the dungeon! Solution
· Find the right path! Solution
· Color in the magic picture Solution
· Magic square - sums 210, 240, 270 Solution
· Magic triangles with eights numbers Solution
· Boss level: Grade 4 Solution
- 583,579,1162
- 681,580,1261
- 901,699,1600
- 383,367,750,900,2150
- 490,375,865,1000,2500
- 707,393,1100,1350,3850