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START-OF-YEAR RECAP
A
B
C
D
E
F
361 km
190 km
257 km
94 km
109 km
134 km
119 km
168 km
{{exercise_number}}. We received the map above for a trip abroad.
\latex{ \textcolor{#0089d2}{\bullet } } by car only:
\latex{ \textcolor{#0089d2}{\bullet } } by car and ferry:
\latex{ \textcolor{#0089d2}{\bullet } } by bus only:
\latex{ \textcolor{#0089d2}{\bullet } } by car and train:
b) How many ways can we travel from town A to E if we go through A only once?
a) Which towns can we access from town A if we travel
{{exercise_number}}. a) Arrange the distances in the map in descending order.
b) Arrange the distances in the map in ascending order. Write the even numbers
with blue, the odd numbers with red.
c) Write the numbers in the place value tables.
thousands
hundreds
tens
ones
9
4
thousands
hundreds
tens
ones
km
>
km
>
km
>
km
>
km
>
km
>
km
>
km
<
<
<
<
<
<
<
d) Which digits occur most often in the previous tables?
Form three-digit numbers from these, without repeating any of them.
,
,
,
,
,
e) Mark the estimated position of the numbers you formed on the number lines.
100
150
200
250
300
350
400
600
610
620
630
640
f) Write down the ones, tens and hundreds neighbours of the numbers in exercise d).
{{exercise_number}}.
b) Ben also noticed that there is a first aid station at every hundredth kilometre on
the highway. Which station should we call if an accident happens at the following
kilometre markers?
the highway. Which station should we call if an accident happens at the following
kilometre markers?
56 km
105 km
84 km
121 km
139 km
172 km
375 km
89 km
116 km
232 km
51 km
164 km
60
km
km
km
km
km
km
km
km
km
km
km
km
a) Ben noticed that there is a telephone kiosk at every 10 kilometres on the highway. How far is the
nearest phone from a person whose car breaks down at the following kilometre markers?
{{exercise_number}}. a) We used segments to show various routes. Write in the missing numbers using the map on page 4.
\latex{ 94 }km
A
C
D
F
E
D
C
A
A
B
D
km
km
km
km
km
km
km
b) Calculate the lengths of the shortest and the longest routes, rounded to tens.
{{exercise_number}}.
They took a bus.
They took a train.
They crossed the lake.
They crossed B.
They travelled 360 km.
They travelled more than
280 km.
280 km.
A family travelled from town A to town D. Write the correct letters in front of
the sentences using the map on page 4. \latex{ \textcolor{#0089d2}{ A:} } possible, \latex{ \textcolor{#0089d2}{B:} } certain, \latex{ \textcolor{#0089d2}{C:} } impossible.
the sentences using the map on page 4. \latex{ \textcolor{#0089d2}{ A:} } possible, \latex{ \textcolor{#0089d2}{B:} } certain, \latex{ \textcolor{#0089d2}{C:} } impossible.
{{exercise_number}}. The Miller family visited an exhibition during their summer trip.
- How much did they pay for the entry tickets if they bought two adult tickets,
two child tickets and one senior ticket?
Ticket prices:
children €12
seniors €11
adults €25
€?
- Matt bought postcards for €2. How many forints did he get back from €5?
- A 45-minute guided tour is held 5 times a day at the exhibition. Fill out the table.
Start
End
10h10m
11h5m
13h20m
16h30m
18h
Which tour could the Millers join if they entered the castle at half past ten, and had lunch at
1 o’clock in the restaurant next to the castle? Circle the answer.
- Tours start with 30 people at least and can include 60 people at most. Matt noticed that the sum of the digits in the number of people in the group is 9, the number of tens is more than that of the of ones. How many people took part?
54 - Matt also noticed that there were 12 more adults than children in their group. How many children were there in their group?
- Matt wrote down the Roman numerals he saw at an exhibition. Write them down with Arabic numerals and letters.
CCIX
DCXXV
DCCXVIII
LIV
DLV
{{exercise_number}}.
316, 50, \latex{ - }7, 154, 35, \latex{ - }3, \latex{ - }12, 241, 20, 5, 917, \latex{ - }56
three-digit numbers
negative numbers
multiples of 5
b) There is a number in each set that does not belong there. Find them and cross
them out, then name each set.
them out, then name each set.
\latex{ 4 }th
\latex{12 }th
\latex{56 }th
\latex{9 }th
\latex{3 }rd
+2
+34
+7
+231
+19
+156
0
one third
one fourth
one fifth
one half
eight
a) Write the numbers in the correct sets.
{{exercise_number}}.
two-digit numbers:
numbers less than 30:
29 is a two-digit number and
3 is less than 30 and
30 is not less than 30 and
two-digit numbers
numbers less than 30
30
98
24
47
17
29
0
3
9
,
,
,
,
,
,
,
,
,
,
,
,
a) Complete the sentences using the diagram.
b) Write two more numbers in each part of the set diagram.
{{exercise_number}}. Group the numbers in several ways. Form sets.
120, 96, 40, 116, 23, 57, 63, 513, 3, 930
{{exercise_number}}.
a) Write the numbers not less than 195
and less than 205 in the correct parts
of the sets.
b) Make a similar set diagram in your
exercise book with numbers greater
than 375 but not greater than 390
Write the odd numbers in one set, and
numbers in which the digit 8 is found
in the tens place in the other set.
exercise book with numbers greater
than 375 but not greater than 390
Write the odd numbers in one set, and
numbers in which the digit 8 is found
in the tens place in the other set.
even numbers
number of tens: 0
195 \latex{ \leq } \latex{ \textcolor{#228B22}{\blacktriangle} }
\latex{ \lt } 205
{{exercise_number}}. Which numbers are the following statements true for?
\latex{ \textcolor{#0089d2}{\bullet } } Every digit is a 2:
\latex{ \textcolor{#0089d2}{\bullet } } The sum of its digits is 2:
\latex{ \textcolor{#0089d2}{\bullet } } It does not include the digit 2:
\latex{ \textcolor{#0089d2}{\bullet } } The digit in the tens place is 2:
\latex{ \textcolor{#0089d2}{\bullet } } The value of the digit at the hundreds place is 200:
\latex{ \textcolor{#0089d2}{\bullet } } There is a 2 amongst its digits:
\latex{ \textcolor{#0089d2}{\bullet } } The sum of its digits is 2:
\latex{ \textcolor{#0089d2}{\bullet } } It does not include the digit 2:
\latex{ \textcolor{#0089d2}{\bullet } } The digit in the tens place is 2:
\latex{ \textcolor{#0089d2}{\bullet } } The value of the digit at the hundreds place is 200:
\latex{ \textcolor{#0089d2}{\bullet } } There is a 2 amongst its digits:
222
111
202
112
110
200
22
102
,
,
,
,
,
,
,
,
,
,
,
{{exercise_number}}. What numbers can you write in place of the letters to make the relations true?
a:
b:
c:
4
1
a
b
0
3
3
c
6
7
4
0
<
>
.
.
,
.,
,
,
,
,
,
,
,
,
,
,
{{exercise_number}}. Make a suitable number line. Mark the precise position of the numbers listed below.
a) 95, 130, 75, 80, 115, 110; c) 500, 800, 400, 600, 200;
b) 290, 260, 350, 300, 380, 320; d) 250, 300, 350, 500, 650, 700
b) 290, 260, 350, 300, 380, 320; d) 250, 300, 350, 500, 650, 700
{{exercise_number}}. Find the rules and continue the sequences.
420,
450,
480,
650,
720,
790,
310,
430,
550,
{{exercise_number}}. Find the number bonds that pair with the numbers to make 1000.
320
510
100
450
260
630
370
{{exercise_number}}. There are four wrong answers in both tables. Find them and cross them out.
+
110
580
640
420
70
180
360
\latex{ - }
80
250
480
510
990
860
720
{{exercise_number}}. Fill in the missing numbers.
160
260
560
\latex{ - }210
a)
b)
c)
660
\latex{ - }190
+120
+90
970
720
540
280
390
920
630
410
620
810
270
+
100
+
\latex{ - }
\latex{ - }
+60
+370
\latex{ - }180
\latex{ - }550
{{exercise_number}}. Fill out the table.
a
b
a + b
a \latex{ - } b
a\latex{ - }(b \latex{ - } 10)
a \latex{ - } (b + 10)
a + (b\latex{ - }10)
520
600
460
750
270
180
210
165
{{exercise_number}}. Fill in the missing numbers in the number pyramids.
160
90
150
80
60
190
120
170
680
310
90
123
a)
b)
c)
{{exercise_number}}. Fill in the missing relation symbols.
a)
b)
140
280
+
370
-
90
200
156
180
240
+
390
70
-
+
+
265
100
563
163
-
890
-
250
444
-
144
163
463
+
222
-
520
987
+
222
{{exercise_number}}. Fill in the missing operation symbols.
120
910
90
90
260
260
150
150
170
170
=
=
580
240
170
170
=
=
200
650
{{exercise_number}}.
A number of pupils and teachers went
to a summer camp. There were 170
more girls than teachers, and 30 less
boys than girls.
a) Write the data on the segments.
b) How many boys were there?
c) What was the total number of children?
to a summer camp. There were 170
more girls than teachers, and 30 less
boys than girls.
a) Write the data on the segments.
b) How many boys were there?
c) What was the total number of children?
T:
G:
B:
?
?
{{exercise_number}}. Calculate the sums and differences rounded to tens.
+
563+198\latex{ \approx }
439+341\latex{ \approx }
899\latex{ - }541\latex{ \approx }
622\latex{ - }356\latex{ \approx }
647\latex{ - }275\latex{ \approx }
176+287\latex{ \approx }
+
+
=
=
=
=
=
=
\latex{ - }
\latex{ - }
\latex{ - }
{{exercise_number}}. Complete the written operations. Estimate with values rounded to tens
before calculating. Check your calculations afterwards.
261
+359
642
-179
718
+163
727
- 88
374
+ 93
Check:
Est.:
Est.:
Est.:
Est.:
Est.:
Check:
Check:
Check:
Check:
{{exercise_number}}. Which number is greater?
a) The sum of 456 and 129 or the difference between 718 and 357?
b) The difference of 835 and 506 or the sum between 142, 93 and 174?
c) The sum of 291 and 219 or the difference between 999 and 580?
b) The difference of 835 and 506 or the sum between 142, 93 and 174?
c) The sum of 291 and 219 or the difference between 999 and 580?
{{exercise_number}}. Fill in the missing numbers.
addend 1
addend 2
sum
274
681
453
129
182
326
difference
subtrahend
minuend
982
631
549
352
217
94
{{exercise_number}}. a) Find the rule of the calculating steps.
b) Construct calculating steps. Count using written calculations.
123 + 96 = 219
96 + 219 = 315
219 + 315 = 534
315 + 534 = 849
156+147 to
203+78 to
161+103 to
184+59 to
217+68 to
106+77 to
753
999
847
998
703
991
{{exercise_number}}. a) Find the rule of the calculating steps.
673 \latex{ - } 426 = 247
426 \latex{ - } 247 = 179
247 \latex{ - } 179 = 68
179 \latex{ - } 68 = 111
b) Construct calculating steps. Count using written calculations.
675\latex{ - }441 to
956\latex{ - }535 to
731\latex{ - }419 to
982\latex{ - }567 to
928\latex{ - }596 to
893\latex{ - }521 to
307
27
205
263
223
68
{{exercise_number}}. There were 935 books in the school library on Monday.
Pupils borrowed 126 books during the week and returned 142.
a) By how much did the number of books increase or decrease by during the week?
b) How many books were in the library during the weekend?
c) Find answers. \latex{ \textcolor{#0089d2}{\bullet } } How many books are there in your school library?
b) How many books were in the library during the weekend?
c) Find answers. \latex{ \textcolor{#0089d2}{\bullet } } How many books are there in your school library?
\latex{ \textcolor{#0089d2}{\bullet } } How many members does the school library have?
Write a word problem that you can solve by addition or subtraction.
{{exercise_number}}. Fill in the missing digits. Check your solutions.
124
+ 3
4 7
5 9
+ 2
764
571
-279
97
623
-
9 7
- 5
142
{{exercise_number}}. What numbers make the inequalities true?
346+
<873
493+181<
<908\latex{ - }196
\latex{ - }275>321
...
...
...,
,
,
,
,
,
,
,
,
:
:
:
{{exercise_number}}. Find the rules then fill in the missing numbers.
256
473
291
547
729
789
86
492
307
318
408
954
721
275
146
578
463
863
{{exercise_number}}. a) The diagram shows the highest water levels of the Tisza river at the town of
Szeged. Fill out the table based on the diagram.
Szeged. Fill out the table based on the diagram.
b) What is the difference between the highest water levels of
1879 and 2006?
c) How many centimetres lower was the highest water level in
1879 than in 1970?
d) On 19th March 2006 the level of the Tisza river at Szeged was 604 cm. Compare
it to the highest and the lowest values on the diagram. Calculate the differences.
1879
1932
1970
2000
2006
cm
806
cm
cm
cm
cm
2006
2000
1970
1932
1879
923
961
929
1009
cm
950
1000
900
850
year
highest water level
203 cm a különbség.
155 cm-rel.
{{exercise_number}}.
a) Find out how long the Tisza river is. How long is the section of the river outside
of Hungary, if the section within Hungary is 596 km long?
Hungarian section
Section outside Hungary
c) The table shows the length of the Danube in several countries. Phrase problems
and calculate the answers.
687 km
138 km
351 km
172 km
417 km
1075 km
472 km
54 km
:
:
Austria
Germany
Romania
Hungary
Slovakia
country
length of the section
country
Croatia
Bulgaria
Ukranie
length of the section
b) The total length of the Danube is 2,850 km, the Hungarian section is 417 km long.
How much longer is the Tisza’s Hungarian section? Write the names of the rivers
in the right places.
{{exercise_number}}. Fill in the missing numbers.
4
50
120
5
40
480
12
48
\latex{ \times } 7
\latex{ \times } 7
\latex{ \div } 7
\latex{ \div } 7
\latex{ \times } 6
\latex{ \times } 6
\latex{ \div } 6
\latex{ \div } 6
\latex{ \times }
\latex{ \times }
\latex{ \div }
\latex{ \div }
{{exercise_number}}. Fill out the tables.
\latex{ \times }
\latex{ \div }
2
8
10
7
20
15
20
4
40
3
5
30
50
150
300
450
900
750
{{exercise_number}}. What numbers make the inequalities true?
20\latex{ \times }30\latex{ \gt }
\latex{ \lt }980\latex{ \div }2
...,
...,
...,
7\latex{\times }60\latex{ \lt }
130\latex{ \times }6\latex{ \lt }
\latex{ \gt }120\latex{ \times }4
\latex{ \times }20\latex{ \lt }50\latex{ \times }20
:
:
:
,
,
,
,
,
,
,
,
,
,
{{exercise_number}}. Complete the calculations. Pay attention to the order of operations.
80\latex{ \times }6+4=
50\latex{ \times }10\latex{ \div }20=
180\latex{ \div }60\latex{ \times }40=
20+30\latex{ \times }3=
80\latex{ \times }(6+4)=
(150+210)\latex{ \div }40=
(760\latex{ - }280)\latex{ \div }40=
760+280\latex{ \div }40=
{{exercise_number}}.
a) Write the numbers 6, 8, 12, 16, 18, 24, b) Write the divisors of 24 and 30
30, 32, 48 in the correct sets . in the correct parts of the sets.
30, 32, 48 in the correct sets . in the correct parts of the sets.
multiples of 3
multiples of 8
divisors of 24
divisors of 30
{{exercise_number}}. At a twins convention there were 240 people who had one sibling, 150 people who had 2, and 40 who had 3 siblings. (Every brother and sister was there)
a) How many people were there altogether?
b) How many pairs of twins were there?
c) How many sets of triplets and how many sets of
quadruplets were present?
b) How many pairs of twins were there?
c) How many sets of triplets and how many sets of
quadruplets were present?
{{exercise_number}}. Vera bought a notebook and a pen for €20. The pen costs five times
as much as the notebook. How much does the pen and the notebook cost separately?
total:
€
€
€
€
pen: 5\latex{ \times }
notebook:
+5\latex{ \times }
=
=
6\latex{ \times }
20
20
{{exercise_number}}.
a) Which two numbers' sum is 420, and difference is 0?
b) Which two numbers' sum is 420, and difference is 10?
,
,
A
B
A=
A=
B=
- The sum of two numbers is 420, their difference is 120. What are they?
- Olga and Zoe have €6 together. Zoe has €2 more than Olga. How much money do they each have?
- Mike’s parents grow garlic and onions. 840 kg of produce were grown. There were 360 kg more onions than garlic. How many kilograms ofonions and garlic did they grow separately this year?
{{exercise_number}}. The largest apes, mountain gorillas, are about 180 cm tall and weigh
200 kg. They consume about 1 tenth of their body mass in food every day.
a) How many kilograms of food do 5 mountain gorillas eat in one week?
b) At most how many mountain gorillas can a truck with 1 t load capacity transport from
the zoo to the reserve?
{{exercise_number}}. Calculate the products according to the sample.
75·4=
79·6=70·6+9·6=
126·7=
238·3=
164·5=
+
=
{{exercise_number}}. a) Complete the written additions. Calculate using written multiplication
as well.
+137
137
137
245
+245
394
+163
163
163
163
+394
208
+208
208
137
137·3
b) Complete the written multiplications. Estimate first, then check the results with written addition.
Check:
273·3
191·4
364·2
158·3
486·2
Est:
Est:
Est:
Est:
Est:
Check:
Check:
Check:
Check:
{{exercise_number}}. Fill in the missing numbers. Count with an incomplete written multiplication.
2
9
81
3
486
\latex{ \times }
\latex{ \times }
\latex{ \times }
\latex{ \times }
{{exercise_number}}. Complete the calculations. Pay attention to the order of operations!
128\latex{ \times }2+349=
(658\latex{ - }499)\latex{ \times }4=
216\latex{ \times }3\latex{ - }487=
957\latex{ - }89\latex{ \times }4=
(147+216)\latex{ \times }2=
(452+248)\latex{ \div }10=
{{exercise_number}}. Complete the operations. Mark the results with the right colours in the table.
549+372
376+245
905\latex{ - }478
424\latex{ - }276
153+278
162\latex{ \times }5
247\latex{ \times }4
179\latex{ \times }3
4
3
2
4
0
4
4
1
3
9
9
1
7
7
2
6
1
1
6
2
2
7
7
1
4
0
2
1
8
1
6
5
1
0
9
3
7
8
5
0
4
9
8
8
0
3
{{exercise_number}}. Colour the corresponding parts. Each figure is one whole.
1 third
1 fifth
1 seventh
1 fourth
1 sixth
{{exercise_number}}. 325 kg of peppers and 168 kg more tomatoes arrived at the warehouse.
a) How many kilograms of tomatoes arrived at the warehouse?
b) How many kilograms of tomatoes and peppers arrived altogether?
{{exercise_number}}. 3 carrots and 2 parsnips were tied in a bundle. 187 such bundles were made.
How many carrots and parsnips are there in the 187 bundles?
{{exercise_number}}. Fill out the crossword puzzle.
4
5
0
1. 380+70=
2. 7\latex{ \times }8=
4. 457\latex{ - }64=
5. 3\latex{ \times }9=
10. 480+ =556
11. 670+90=
8. 616\latex{ - }303=
13. 598+14=
12. 964+ =1,000
15. 719\latex{ - } =690
16. 386+58=
1. 260+172=
2. 604\latex{ - }9=
3. 9\latex{ \times }7=
4. 438\latex{ - }95=
6. 480+256=
9. 98+8=
7. 280+ =325
14. 786+ =800
11. 400+382=
12. 543\latex{ - }219=
across:
down:
1
2
3
4
7
8
5
12
15
6
10
13
14
16
9
11
{{exercise_number}}.
9 fourth graders go swimming, 6 go dancing.
The set shows students who swim or dance only.
How many students swim and dance?.
b) How many students swim or dance
altogether?
altogether?
swim
dance
a) Complete the set diagram.
{{exercise_number}}.
1000
624
700
423
453
159
183
519
a) Which numbers are outside the triangle
and inside the rectangle?
and inside the rectangle?
b) Which numbers are inside the
rectangle and inside the circle?
rectangle and inside the circle?
,
,
,
,
{{exercise_number}}. How many ways can you read the words? Write it under each figure.
a)
b)
c)
d)
S
U
N
U
N
S N
J U P I T E R
M
O
O
N
M O O
N
E
T
S
P
L
A
N
E
T
S
M O N
P L E T S
I T E R
E R
J U T
U
P
J U P I
P E
T
{{exercise_number}}. Do the calculations along the path. Fill in the missing numbers and signs.
0
+477
\latex{ \times }5
\latex{ - }245
345
20
\latex{ \times }45
\latex{ \div}9
half
+696
1000
\latex{ - }678
500
÷100
\latex{ \times }70
\latex{ - }781
+93
+429
\latex{ \times }3
+157
497
20
600
\latex{ - }131
943
820
\latex{ - }370
+50
>
>
>
>
>
>
>
>
