Age Restriction
This page contains a set of links to mathematical exercises. They are ordered by age restriction. For each age, there are corresponding exercises grouped into separate categories. Expand the lists and see the proposed options for mathematical examples.
5+
Recommended for children from five years old
Integer Examples
Step-by-step Tasks
Addition #1
4+1=5
Addition #2
4+1=5
Addition #3
1+2=3
Addition #4
0+3=3
Addition #5
1+9=10
Subtraction #1
4-2=2
Subtraction #2
5-2=3
Subtraction #3
7-4=3
Subtraction #4
9-1=8
Subtraction #5
5-2=3
Subtraction #6
10-3=7
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
7+2=9
Addition #7
1+3=4
Addition #8
3+7=10
Addition #9
7+4=11
Addition #10
4+6=10
Addition #11
5+7=12
Addition #12
1+4=5
Addition #13
0+6=6
Addition #14
3+7=10
Addition #15
7+1=8
Addition #16
8+7=15
Addition #17
7+1=8
Addition #18
6+8=14
Addition #19
9+8=17
Addition #20
2-1=1
Addition #21
10+4=14
Addition #22
7+10=17
Subtraction #7
8-4=4
Subtraction #8
5-5=0
Subtraction #9
10-1=9
Subtraction #11
14-1=13
Subtraction #12
14-4=10
Subtraction #13
7-6=1
Subtraction #14
16-7=9
Subtraction #15
16-1=15
Subtraction #16
14-8=6
Subtraction #17
11-5=6
Subtraction #18
19-9=10
Subtraction #19
5-0=5
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
7-3=4
Beginner 1.3 ip
30+57=87
Beginner 2.3 ip
75-45=30
Beginner 3.3 ip
58+32=90
Beginner 4.2 ip
1+3+13=17
Beginner 5.1 ip
9-(10-3)=2
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
1+9=10
Addition #25
6+14=20
Addition #26
12+14=26
Addition #27
23+11=34
Addition #28
12+4=16
Addition #29
0+20=20
Addition #30
14+16=30
Addition #31
15+1=16
Addition #32
6+11=17
Addition #33
7+12=19
Subtraction #22
17-6=11
Subtraction #23
19-11=8
Subtraction #24
18-12=6
Subtraction #26
19-13=6
Subtraction #27
14-4=10
Subtraction #28
19-5=14
Subtraction #29
17-6=11
Subtraction #31
11-7=4
Subtraction #32
20-20=0
Multiplication #1
9×1=9
Multiplication #2
2×4=8
Multiplication #3
1×1=1
Division #1
4÷1=4
Comparisons
Language Exercises
Russian Vocabulary 1.1
г рох
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
2+16=18
Beginner 1.4 ip
24+536=560
Beginner 2.4 ip
854-154=700
Beginner 3.4 ip
256+16=272
Beginner 4.3 ip
100-10-54=36
Beginner 5.2 ip
19+(9-8)=20
Cognizant 1.1 ip
38×2=76
Cognizant 2.1 ip
92÷23=4
Cognizant 3.1 ip
3×3=9
Column 1.1 ip
56+30=86
Column 2.1 ip
75-42=33
Column 3.1 ip
73-51=22
Step-by-step Tasks
Addition #34
29+1=30
Addition #35
29+6=35
Addition #36
8+13=21
Addition #37
4+9=13
Addition #38
10+30=40
Addition #39
39+11=50
Addition #40
19-19+0=0
Subtraction #33
9-8=1
Subtraction #34
30-20=10
Subtraction #36
19-9=10
Subtraction #37
14-11=3
Subtraction #38
29-9=20
Subtraction #39
60-30=30
Multiplication #4
3×0=0
Multiplication #5
10×2=20
Multiplication #6
4×2=8
Multiplication #7
4×7=28
Multiplication #8
5×0=0
Multiplication #9
3×3=9
Multiplication #10
10×5=50
Multiplication #11
2×6=12
Multiplication #12
9×6=54
Multiplication #13
3×7=21
Multiplication #14
1×6=6
Multiplication #15
4×10=40
Multiplication #16
1×8=8
Multiplication #17
8×7=56
Multiplication #18
4×9=36
Multiplication #19
9×9=81
Multiplication #20
10×5=50
Multiplication #21
10×8=80
Division #2
10÷2=5
Division #3
6÷2=3
Division #4
21÷3=7
Division #5
2÷1=2
Division #6
24÷4=6
Division #7
4÷2=2
Division #8
5÷5=1
Division #9
24÷3=8
Division #10
20÷4=5
Division #11
0÷6=0
Division #12
48÷6=8
Division #13
35÷7=5
Division #14
32÷4=8
Division #15
70÷7=10
Division #16
72÷8=9
Division #17
0÷3=0
Division #18
45÷9=5
Division #19
15÷5=3
Division #20
80÷8=10
Division #21
0÷10=0
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
авт р
Russian Vocabulary 2.1
учебн к
Russian Vocabulary 3.1
Апрел
Lexicon 1.1
fl w [stream]
Lexicon 2.1
j mp [leap]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
95-20-21=54
Beginner 4.4 ip
781-388-341=52
Beginner 5.3 ip
12+(12+58)=82
Cognizant 0.1 ip
60÷(6÷2)=20
Cognizant 1.2 ip
28×19=532
Cognizant 2.2 ip
532÷4=133
Cognizant 3.2 ip
38×24=912
Cognizant 4.1 ip
20÷5×8=32
Cognizant 5.1 ip
6×(2×2)=24
Cognizant 6.1 ip
90÷3÷(3×2)=5
Remainder 1.1 ip
36÷7=5(1)
Column 1.2 ip
5899+1801=7700
Column 2.2 ip
4576-1776=2800
Column 3.2 ip
6041-3545=2496
Multiplier 1.1 ip
65×7=455
Divisor 1.1 ip
30÷6=5
Numeracy 1.1 ip
87-34÷2=70
Numeracy 2.1 ip
16+22÷11×4=24
Divisor_ENG 1.1 ip
18÷6=3
Remainder_ENG 1.1 ip
29÷3=9(2)
Step-by-step Tasks
Multiplication #22
15×2=30
Multiplication #23
2×11=22
Multiplication #24
3×11=33
Multiplication #25
2×15=30
Multiplication #26
12×4=48
Multiplication #27
12×5=60
Multiplication #28
2×12=24
Multiplication #29
23×4=92
Multiplication #30
10×4=40
Multiplication #31
19×6=114
Multiplication #32
7×17=119
Multiplication #33
5×6=30
Multiplication #34
17×8=136
Multiplication #35
39×2=78
Multiplication #36
14×9=126
Multiplication #37
5×21=105
Multiplication #38
15×10=150
Multiplication #39
50×4=200
Multiplication #40
19×8=152
Division #22
8÷2=4
Division #23
55÷11=5
Division #24
42÷3=14
Division #25
60÷3=20
Division #26
60÷4=15
Division #27
75÷5=15
Division #28
24÷2=12
Division #29
21÷3=7
Division #30
20÷10=2
Division #31
60÷6=10
Division #32
126÷7=18
Division #33
91÷7=13
Division #34
128÷8=16
Division #35
125÷5=25
Division #36
9÷9=1
Division #37
98÷7=14
Division #38
490÷10=49
Division #39
72÷8=9
Division #40
77÷11=7
Comparisons
Natural 0.2 ip
11×4 > 4×2
Natural 1.3 ip
852 > 850
Natural 2.3 ip
744-348 > 809-426
Natural 3.2 ip
60÷5 < 100÷2
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-108=656
Beginner 1.5 ip
56900+28668=85568
Beginner 2.5 ip
668531-18531=650000
Beginner 3.5 ip
379990+206282=586272
Beginner 5.4 ip
594-(392-31)=233
Cognizant 0.2 ip
952÷34=28
Cognizant 1.3 ip
9×32=288
Cognizant 2.3 ip
8800÷88=100
Cognizant 3.3 ip
8408÷8=1051
Cognizant 4.2 ip
90÷2×9=405
Cognizant 5.2 ip
(4×25)÷20=5
Cognizant 6.2 ip
10÷(5×2)×20=20
Remainder 1.2 ip
60÷5=12
Column 1.3 ip
281269+628731=910000
Column 2.3 ip
503251-320000=183251
Column 3.3 ip
314000+235759=549759
Multiplier 1.2 ip
168×7=1176
Multiplier 1.3 ip
5135×80=410800
Divisor 1.2 ip
928÷2=464
Numeracy 0.1 ip
57+30÷(24-22)=72
Numeracy 1.2 ip
599-27÷3=590
Numeracy 2.2 ip
260÷2-10×4=90
Numeracy 3.1 ip
(8+10)×(69-65)=72
Divisor_ENG 1.2 ip
710÷2=355
Remainder_ENG 1.2 ip
182÷17=10(12)
Comparisons
Natural 0.3 ip
930 > 919
Natural 1.4 ip
400000 > 399995
Natural 2.4 ip
793041-942 < 988140-34140
Natural 3.3 ip
2×5 < 8×9
Equations
Linear 0.1 ip
3×(10-x)=6
Linear 1.3 ip
x+103=220
Linear 2.3 ip
x×50=450
Linear 3.2 ip
47+x×4=47
Linear 4.1 ip
(x+1)×3=6
Rounding
Language Exercises
Russian Vocabulary 2.3
с рень
English Vocabulary 1.2
sta le
Lexicon 1.2
th m [pronoun]
Lexicon 2.2
l ss [privation]
Infinitive 1.1
undersell undersold [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
452220-(652958-560738)=360000
Beginner 4.5 ip
860109-833681+73544=99972
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
880000-442636=437364
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
760-33×9+307=770
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
5200÷16=325
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
30.6+39.3+24=93.9
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
4.8+7-2.8=9
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
30.6+(55.1-16.5)=69.2
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-9+1 < -1-5
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
48.7 > 44.5
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
361/37 = 361/37
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
57÷x=19
Linear 0.3 ip
x÷5=90
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
13×(84-x)=52
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
671÷11≈6
Round 0.2 ip
992≈10
Round 0.3 ip
147857≈148
Round 1.3 ip
173856≈174
Round 2.2 ip
30+73≈1
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
516÷2≈26
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
вер вание
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
r bbish
English Vocabulary 2.3
st ff
English Vocabulary 3.2
d rty
Lexicon 1.3
lly [join]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
1+9=10
Conversant 1.3 in
-25+99=74
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
-10+(10+10)=10
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(60+49)+(79+11)=-19
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
17440÷10=1744
Cognizant 4.4 ip
144×625÷9=10000
Cognizant 5.4 ip
70000÷(26250÷75)=200
Cognizant 6.4 ip
720÷(3690÷41)×25=200
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
37200÷10=3720
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
4×(-6×4)=-96
Logics 4.1 in
24×(-4)÷(-2×(-2))=-24
Divisor_ENG 1.4 ip
12000÷60=200
Decimal Examples
Partitive 0.3 dp
38.6+(13.6+13.8)=66
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
81.49+(73-57.47)=97.02
Split 0.1 dn
2-9.3=-7.3
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
2.2+6.8=9
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
0.18÷2=0.09
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
42.24÷64=0.66
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
Definition 0.1 dp
83.1-0.5×20=73.1
Definition 1.1 dp
1÷0.5+59.3=61.3
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
45.6÷3=15.2
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
4/5-1/5-1/5=2/5
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
1/2+(11/2+27/23)=165/23
Denominator 0.1 fn
1/2-7/10=-1/5
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
1/2×762/29=381/29
Fragment 2.1 fp
14/3÷7/6×3/4=3/1
Reduction 1.1 fp
39/6=13/2
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
5/6÷15/2+1/3=4/9
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
30 < 100
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
-14+74 > -30-60
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
832÷2 > 660÷6
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
23 > 21.12
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
698.297 < 918.659
Point 2.2 dp
99.53-2.7 < 99.04-2.19
Point 2.3 dp
10.277+8.723 < 45-7.757
Point 3.1 dp
9.8÷0.7 > 45÷50
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
15.2+3.5 > -18-10.2
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
87.32 > 87.31
Doted 2.1 dn
-7.7+34.7 < -15.5+42.7
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
10/3-47/42 > 309/38-241/38
Improper 2.3 fp
1505/18-2021/414 < 1678/17-1143/391
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
-(-3+x)×3=6
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
x-9=58
Lineal 2.2 in
100÷(-x)=1
Lineal 2.3 in
x×80=-800
Lineal 3.1 in
1-x÷5=0
Lineal 3.2 in
-4+x÷20=0
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
20×(78+x)=0
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
82.203≈82.2
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
68.8÷3≈23
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
орат р
English Vocabulary 3.3
se ing
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
rethink rethought [rethink]
Infinitive 3.1
saw [saw]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
662-617=45
Conversant 2.4 in
-170+1000+130=960
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
-821-(-206+65)=-680
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
19600÷196=100
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
-86-6×2×2=-110
Intellect 3.2 in
837+(-751-209)÷60=821
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
Logics 1.2 in
22×22=484
Logics 2.2 in
500÷10÷(-5)=-10
Logics 3.2 in
-4×(5×5)=-100
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
Partitive 0.4 dp
455.8-339.8=116
Partitive 1.4 dp
357.895-277.895=80
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
27-88=-61
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-95.7+85.46+45.64=35.4
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
0.8×3.78=3.024
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
90.896÷18.4÷2.47=2
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
1.2÷(100÷2)=0.024
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
20.09+21.6÷4.8=24.59
Definition 1.3 dp
98.091+18.63÷12.42=99.591
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
38.8-1.3×32×0.5=18
Definition 3.2 dp
(19.41+33.03)÷(89.02-87.64)=38
Negatory 0.1 dn
83.8+27.2÷4=90.6
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
20÷12.5+24.46=26.06
Negatory 1.3 dn
77-43.2÷3=62.6
Negatory 2.2 dn
8.07-12×6.25-3.69=-70.62
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
-103/30+137/15=57/10
Denominator 1.3 fn
-53495/666+13/18=-26507/333
Denominator 2.2 fn
-1/7+441/80-62/7=-279/80
Denominator 3.2 fn
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
56/13×117/14=36/1
Fragment 1.3 fp
175/4×28/25=49/1
Fragment 2.2 fp
2/3×69/5÷92/5=1/2
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
399/13×(29/2÷551/26)=21/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
1/3×1251/26+231/26=324/13
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
39/7+16/5÷7/4=37/5
Complete 1.2 fn
5/7÷1/35-81/13=244/13
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
-886848÷(-2) > -481000÷13
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
766099-218093 > -843637+145103
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
849.473-523.69 < 465.375+99.75
Point 3.3 dp
13.351÷1.027 > 74.712÷8
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
-12.172 < 32.917
Doted 1.3 dn
-96.706 < 88
Doted 1.4 dn
-441.303 < 441.295
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
Improper 3.3 fp
1/2×180/607 < 633/25÷211/695
Descent 0.1 fn
-3/4+1/1 > -1/3-2/3
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
53437/604 > -13406/151
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Lineal 0.3 in
-x+940=350
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
-160×(-675+x)=-800
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
ккорд
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
cr me
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
sowed [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
5300-4692×45÷15=-8776
Intellect 3.3 in
(7954-7926)÷(6657-6650)=4
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
79×20=1580
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
Residual 1.3 dp
9÷30=0.3
Denary 0.4 dp
(269.824÷3.1)÷128=0.68
Denary 1.4 dp
27.625×32=884
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
6.144÷8=0.768
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
867.991-24÷15.625=866.455
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
194.4÷(0.5+0.75)÷0.432=360
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
960.4+320÷200=962
Negatory 1.4 dn
-380.53+405×0.026=-370
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
28÷14=2
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
35/3÷(2/3×1/2)=35/1
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
Limited 1.3 fp
805/566+4/11×385/8=5355/283
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
97/64×(2/11-354/11)=-97/2
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
Doted 0.4 dn
-156.978 > -748.831
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
241/5-16131/340 > -766/9+56/1
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
7x2=63
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
4x2-8x=0
Quadratic 3.1 in
-x2-6x-9=0
System 0.1 ip
y+x=15
System 1.2 ip
x+y=105
System 2.1 ip
x×20y=800
System 3.1 ip
7y-4x=23
Set 0.1 in
x-y=5
Set 1.1 in
y+x=-3
Set 2.1 in
8x×2y=-320
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
наскво ь
English Vocabulary 1.5
con entrate
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
ill gal
Lexicon 1.5
inter retation [exposition]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
foresaw [foresee]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-975744÷44÷(12×22)=-84
Logics 1.4 in
992×(-676)=-670592
Logics 2.4 in
-34×(-152)×(-111)=-573648
Logics 3.4 in
-14×(27×10)=-3780
Logics 4.4 in
446×(-99360÷(-460))÷(-36)=-2676
Fraction Examples
Limited 0.3 fp
20519/819÷(2734/143+5075/429)=17/21
Limited 2.3 fp
(18039/221-35987/442)÷7/376=188/17
Complete 0.3 fn
295/182×(3/5-283/5)=-1180/13
Complete 2.3 fn
5/49÷(6/119+118/357)=15/56
Equations
Quadratic 0.2 in
4x2=29584
Quadratic 1.2 in
17x2=12393
Quadratic 2.2 in
3x2+210x=0
Quadratic 3.2 in
-x2-41x+1220=0
System 0.2 ip
182x÷14y=13
System 1.3 ip
x-y=89
System 2.2 ip
36x÷9y=3
System 3.2 ip
32y-9x=2553
Set 0.2 in
7x-2y=-234
Set 1.2 in
y-x=-29
Set 2.2 in
-2160x÷72y=-60
Set 3.2 in
47x+20y=-1230
Language Exercises
Russian Vocabulary 3.5
н вечно
English Vocabulary 3.5
conv nient
Lexicon 2.5
pron nciation [utterance]
Infinitive 2.3
cost [cost]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
-390x2+380250x=0
Quadratic 1.3 in
812x2=6005552
Quadratic 2.3 in
-490x2-377300x=0
Quadratic 3.3 in
2x2-892x+94458=0
System 0.3 ip
144y÷64x=18
System 2.3 ip
y×7x=2054808
System 3.3 ip
70y+114x=162454
Set 0.3 in
-162y÷27x=3
Set 1.3 in
-y+x=101
Set 2.3 in
-2x×34y=707472
Set 3.3 in
-150x+760y=444400
Language Exercises
Infinitive 3.3
forsaken [forsake]
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