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
3+1=4
Addition #2
1+2=3
Addition #3
3+3=6
Addition #4
1+3=4
Addition #5
3+1=4
Subtraction #1
2-1=1
Subtraction #2
5-2=3
Subtraction #3
3-2=1
Subtraction #4
8-1=7
Subtraction #5
6-2=4
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
6+3=9
Addition #8
1+0=1
Addition #9
4+1=5
Addition #10
3-3=0
Addition #11
5+9=14
Addition #12
7+5=12
Addition #13
2+6=8
Addition #14
4+5=9
Addition #15
5+7=12
Addition #16
2+3=5
Addition #17
4+2=6
Addition #18
9+8=17
Addition #19
9+8=17
Addition #20
5-4=1
Addition #21
10+9=19
Addition #22
7+10=17
Subtraction #7
10-4=6
Subtraction #8
6-5=1
Subtraction #9
9-2=7
Subtraction #11
13-2=11
Subtraction #12
5-2=3
Subtraction #13
14-6=8
Subtraction #14
16-7=9
Subtraction #15
1-1=0
Subtraction #16
14-8=6
Subtraction #17
11-5=6
Subtraction #18
10-9=1
Subtraction #19
0-0=0
Subtraction #21
10-10=0
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
7-3=4
Beginner 1.3 ip
20+33=53
Beginner 2.3 ip
91-27=64
Beginner 3.3 ip
58+32=90
Beginner 4.2 ip
6+8-2=12
Beginner 5.1 ip
9-(2+6)=1
Step-by-step Tasks
Addition #23
13+5=18
Addition #24
15+10=25
Addition #25
10-10=0
Addition #26
11+2=13
Addition #27
13+23=36
Addition #28
12+4=16
Addition #29
20+10=30
Addition #30
14+16=30
Addition #31
5+25=30
Addition #32
6+11=17
Addition #33
5+27=32
Subtraction #22
14-9=5
Subtraction #23
5-1=4
Subtraction #24
14-2=12
Subtraction #26
19-13=6
Subtraction #27
24-14=10
Subtraction #28
19-5=14
Subtraction #29
7-6=1
Subtraction #31
27-17=10
Subtraction #32
16-6=10
Multiplication #1
1×6=6
Multiplication #2
2×6=12
Multiplication #3
1×1=1
Division #1
4÷1=4
Comparisons
Language Exercises
Russian Vocabulary 1.1
ч ловек
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
14-(2+12)=0
Beginner 1.4 ip
98+92=190
Beginner 2.4 ip
810-176=634
Beginner 3.4 ip
968-658=310
Beginner 4.3 ip
81-6-22=53
Beginner 5.2 ip
18-(7+8)=3
Cognizant 1.1 ip
5×3=15
Cognizant 2.1 ip
0÷4=0
Cognizant 3.1 ip
30÷10=3
Column 1.1 ip
45+13=58
Column 2.1 ip
78-15=63
Column 3.1 ip
20+60=80
Step-by-step Tasks
Addition #34
2+8=10
Addition #35
27-22=5
Addition #36
18+0=18
Addition #37
2+9=11
Addition #38
80+0=80
Addition #39
10+25=35
Addition #40
1+4+3=8
Subtraction #33
19-18=1
Subtraction #34
24-14=10
Subtraction #36
19-9=10
Subtraction #37
11-7=4
Subtraction #38
20-0=20
Subtraction #39
100-60=40
Multiplication #4
3×5=15
Multiplication #5
1×2=2
Multiplication #6
4×10=40
Multiplication #7
4×7=28
Multiplication #8
1×5=5
Multiplication #9
5×7=35
Multiplication #10
2×5=10
Multiplication #11
1×6=6
Multiplication #12
9×6=54
Multiplication #13
7×9=63
Multiplication #14
1×6=6
Multiplication #15
7×10=70
Multiplication #16
8×6=48
Multiplication #17
5×0=0
Multiplication #18
10×9=90
Multiplication #19
9×9=81
Multiplication #20
5×8=40
Multiplication #21
10×4=40
Division #2
12÷2=6
Division #3
16÷2=8
Division #4
18÷3=6
Division #5
12÷3=4
Division #6
40÷4=10
Division #7
6÷1=6
Division #8
45÷5=9
Division #9
0÷5=0
Division #10
10÷1=10
Division #11
48÷6=8
Division #12
40÷5=8
Division #13
21÷7=3
Division #14
24÷6=4
Division #15
5÷1=5
Division #16
48÷8=6
Division #17
0÷8=0
Division #18
36÷9=4
Division #19
80÷8=10
Division #20
80÷2=40
Division #21
30÷10=3
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
з бавы
Russian Vocabulary 2.1
б тон
Russian Vocabulary 3.1
щ гол
Lexicon 1.1
tak [accept]
Lexicon 2.1
w rd [say]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
65-(24+8)=33
Beginner 4.4 ip
936-41-35=860
Beginner 5.3 ip
97-(5+60)=32
Cognizant 0.1 ip
8÷2=4
Cognizant 1.2 ip
28×12=336
Cognizant 2.2 ip
648÷4=162
Cognizant 3.2 ip
38×24=912
Cognizant 4.1 ip
10×9÷5=18
Cognizant 5.1 ip
100÷(4×5)=5
Cognizant 6.1 ip
5×2×(6÷3)=20
Remainder 1.1 ip
26÷3=8(2)
Column 1.2 ip
2422+7578=10000
Column 2.2 ip
2694-2070=624
Column 3.2 ip
6041-3545=2496
Multiplier 1.1 ip
48×4=192
Divisor 1.1 ip
30÷6=5
Numeracy 1.1 ip
68÷34+68=70
Numeracy 2.1 ip
58+45÷3-43=30
Divisor_ENG 1.1 ip
98÷7=14
Remainder_ENG 1.1 ip
20÷7=2(6)
Step-by-step Tasks
Multiplication #22
2×17=34
Multiplication #23
4×11=44
Multiplication #24
3×11=33
Multiplication #25
45×2=90
Multiplication #26
12×4=48
Multiplication #27
15×5=75
Multiplication #28
12×3=36
Multiplication #29
20×5=100
Multiplication #30
8×5=40
Multiplication #31
6×18=108
Multiplication #32
10×7=70
Multiplication #33
5×6=30
Multiplication #34
11×8=88
Multiplication #35
39×2=78
Multiplication #36
20×9=180
Multiplication #37
6×14=84
Multiplication #38
10×16=160
Multiplication #39
30×6=180
Multiplication #40
7×8=56
Division #22
34÷2=17
Division #23
22÷11=2
Division #24
24÷3=8
Division #25
48÷3=16
Division #26
56÷4=14
Division #27
70÷5=14
Division #28
16÷2=8
Division #29
54÷3=18
Division #30
90÷30=3
Division #31
60÷6=10
Division #32
112÷7=16
Division #33
66÷6=11
Division #34
32÷8=4
Division #35
15÷5=3
Division #36
45÷9=5
Division #37
98÷7=14
Division #38
420÷20=21
Division #39
108÷9=12
Division #40
55÷11=5
Comparisons
Natural 0.2 ip
3×3 < 72÷3
Natural 1.3 ip
732 > 596
Natural 2.3 ip
978-169 > 283-263
Natural 3.2 ip
8×6 < 100÷2
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
786-406=380
Beginner 1.5 ip
141211+55934=197145
Beginner 2.5 ip
993679-793679=200000
Beginner 3.5 ip
126529+74200=200729
Beginner 5.4 ip
203+(86+232)=521
Cognizant 0.2 ip
588÷7=84
Cognizant 1.3 ip
36×30=1080
Cognizant 2.3 ip
2826÷18=157
Cognizant 3.3 ip
3000÷3=1000
Cognizant 4.2 ip
420÷10×12=504
Cognizant 5.2 ip
40×(2×2)=160
Cognizant 6.2 ip
10÷(5×2)×20=20
Remainder 1.2 ip
134÷12=11(2)
Column 1.3 ip
242327+357673=600000
Column 2.3 ip
949800-642000=307800
Column 3.3 ip
457348-227348=230000
Multiplier 1.2 ip
1625×8=13000
Multiplier 1.3 ip
3350×60=201000
Divisor 1.2 ip
928÷2=464
Numeracy 0.1 ip
92÷2-34=12
Numeracy 1.2 ip
900÷10-46=44
Numeracy 2.2 ip
260÷2-10×4=90
Numeracy 3.1 ip
(37+23)÷(58-48)=6
Divisor_ENG 1.2 ip
984÷2=492
Remainder_ENG 1.2 ip
189÷14=13(7)
Comparisons
Natural 0.3 ip
920÷10 < 12×8
Natural 1.4 ip
796100 > 715403
Natural 2.4 ip
978592-119645 > 300438-238438
Natural 3.3 ip
790÷10 < 2×100
Equations
Linear 0.1 ip
3+1×x=8
Linear 1.3 ip
x-262=38
Linear 2.3 ip
x×200=1000
Linear 3.2 ip
x÷5-3=2
Linear 4.1 ip
7÷(x-1)=7
Rounding
Language Exercises
Russian Vocabulary 2.3
обн вление
English Vocabulary 1.2
s ear
Lexicon 1.2
s fely [securely]
Lexicon 2.2
range [fruit]
Infinitive 1.1
undersell undersold [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
900000-320000=580000
Beginner 4.5 ip
830000-419071+290692=701621
Beginner 5.5 ip
291757+(668981-380000)=580738
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
47000-651290=-604290
Conversant 2.1 in
-3-1-5=-9
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
23×39×3=2691
Cognizant 5.3 ip
720÷(12×2)=30
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
911÷30=30(11)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
58.5+95.5-75.6=78.4
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
15.9+(5.7+32)=53.6
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
104×17 < 25×72
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
48÷x-1=1
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
96-x÷2=43
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
-1-x=6
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
48.1≈48
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
97+168≈27
Round 0.2 ip
4126≈41
Round 0.3 ip
535855≈536
Round 1.3 ip
244144≈244
Round 2.2 ip
1780+667≈24
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
988÷13≈8
Round 3.2 ip
1117×5≈56
Round 3.3 ip
8969×52≈466
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
исч зать
English Vocabulary 2.3
de erted
English Vocabulary 3.2
alo e
Lexicon 1.3
tr ding [commerce]
Infinitive 2.1
quick-freeze [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
-20+3=-17
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
32-100-21=-89
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
-10-(-3-6)=-1
Conversant 3.3 in
17-(90+20)=-93
Conversant 4.1 in
-(0-7)-(6+6)=-5
Conversant 4.2 in
(19-17)-(1+13)=-12
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
741×1000=741000
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
36300÷(10×11)÷11=30
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
22400÷32=700
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
73-6×22=-59
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-60+20÷(17-15)=-50
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
57÷(-3)=-19
Logics 2.1 in
-9×(-2)×2=36
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
Logics 4.1 in
-4×(2×6)÷3=-16
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
62.72-32.71=30.01
Partitive 2.3 dp
70-58+33=45
Partitive 3.3 dp
96.35-(20+10)=66.35
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
-8.9-1.1=-10
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
4.7+6.9-9.7=1.9
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
7.3-(9-6)=4.3
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
2.2×1.05=2.31
Denary 2.2 dp
1.44÷7.2=0.2
Denary 3.2 dp
5.6×0.05=0.28
Denary 4.1 dp
27×2×0.1=5.4
Denary 5.1 dp
1.6×(5×0.1)=0.8
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
3.5×1.6+27.1=32.7
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
6×1.8+1.4=12.2
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
4/9+2/9+1/6=5/6
Numerator 0.2 fp
5/6+25/6-33/8=7/8
Numerator 1.2 fp
157/18-83/14=176/63
Numerator 2.1 fp
1/4+1/4+1/4=3/4
Numerator 2.2 fp
119/87+484/87-201/29=0/1
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
Numerator 3.2 fp
24/17-(1/5+18/85)=1/1
Denominator 0.1 fn
1/3+2/3-2/3=1/3
Denominator 1.1 fn
2/3+1/3=1/1
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
3231/129=1077/43
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
873 > -188
Ceil 1.2 in
30 < 100
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
18+43 > -28+57
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
892÷(-4) < 369÷(-3)
Point 0.1 dp
13+55.3 > 45-1.4
Point 0.2 dp
65.77 > 45.17
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
46.766+8.23 < 97.161-7.524
Point 3.1 dp
4.5×2.8 > 1.5×3.4
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
82.65 > -97.27
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
1.5×16.8 > -2.5×(-8)
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
92/397 < 8/11
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
-3/4 < 1/5
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
x×3=3
Lineal 0.2 in
10÷(-7-x)=5
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
x×(-8)=-80
Lineal 2.3 in
-42×x=-420
Lineal 3.1 in
-3-x÷5=-5
Lineal 3.2 in
52+94÷x=54
Lineal 4.1 in
6÷(-x+9)=3
Lineal 4.2 in
-5×(-61-x)=0
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
50.35≈50.4
Rounding 1.3 dp
0.771≈0.77
Rounding 2.2 dp
42.03-2.91≈39.1
Rounding 2.3 dp
29.431-25.435≈4
Rounding 3.1 dp
68.8÷3≈23
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
э спрессия
Lexicon 2.3
attac [join]
Infinitive 1.2
bleed bled [bleed]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
629575-632768=-3193
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
278000-101822+61000=237178
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
-(92-67)+(152+426)=553
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
-350÷(-70÷14)=70
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
Partitive 0.4 dp
455.8-339.8=116
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
-87.46+(-90+98.79)=-78.67
Split 0.4 dn
119.87-341.97+409.266=187.166
Split 1.3 dn
67.28+22.69=89.97
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
0.05-45.9-49.15=-95
Split 2.4 dn
-93.725-75+140.922=-27.803
Split 3.3 dn
-96.68-(60.52-98.2)=-59
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
99÷30=3.3
Divisional 1.3 dp
0.009÷0.09=0.1
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
0.64×0.1=0.064
Denary 2.3 dp
1.68÷0.56=3
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
(1.5×0.8)÷8=0.15
Denary 5.3 dp
0.022×(62.5×0.032)=0.044
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
37.8÷0.8-44.988=2.262
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
(0.83+1.17)×(41.3-34.81)=12.98
Negatory 0.1 dn
-2÷0.8+1.5×4=3.5
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
Negatory 1.3 dn
-1.25×2.24-37.2=-40
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
Negatory 3.1 dn
82.8-(93-28)÷32.5=80.8
Negatory 3.2 dn
(0.5+0.78)×(-4.33-6.67)=-14.08
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
Numerator 0.3 fp
189/5-1162/65=259/13
Numerator 1.3 fp
1135/12-793/12=57/2
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-1/5-1/45=-2/9
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
158/5×20/79÷40/37=37/5
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
10782/1422=599/79
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
609/13×44/87-87/13=17/1
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
Ceil 0.4 in
-244716 > -949111
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
2.932+11.334 < 95.547-81.263
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
Point 2.4 dp
405.597-304.966 < 41.823+222.594
Point 3.3 dp
13.351÷1.027 > 74.712÷8
Point 3.4 dp
1.75×39.424 < 92.16×1.575
Doted 0.3 dn
-30+57 > -45.425-10.68
Doted 1.3 dn
11.471 > -11.454
Doted 1.4 dn
358.696 < 358.713
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
100-666.371 < 86+480.361
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
Descent 0.1 fn
5/6 > -5/8
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
Descent 3.2 fn
27/44÷(-81/100) < 1/2÷21/20
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
festi al
English Vocabulary 2.4
cr me
Lexicon 1.4
h morous [jocular]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
5832÷72+6855=6936
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
138.24÷34.56=4
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
456.24-65.17×8÷14=419
Negatory 1.4 dn
-3×84.48+93.275=-160.165
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Residual_ENG 1.3 dp
35÷5=7
Fraction Examples
Denominator 0.3 fn
-787/43+(37633/602-497/172)=1157/28
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-6159/232-(-1/2-783/8)=2083/29
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
Limited 0.2 fp
(1/2+2/3)×116/3=406/9
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
Complete 2.2 fn
(1/5+1/5)÷7/15=6/7
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
599.86÷(-29.993) > -57.8×13.2
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
4x2+24x=0
Quadratic 3.1 in
-x2+12x-11=0
System 0.1 ip
y-x=8
System 1.2 ip
x+y=180
System 2.1 ip
x×2y=160
System 3.1 ip
10x+4y=140
Set 0.1 in
-x+y=13
Set 1.1 in
y+x=-1
Set 2.1 in
-2y×19x=304
Set 3.1 in
10x-2y=-120
Language Exercises
Russian Vocabulary 2.5
к ньон
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
sp ritual
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
instit tion [founding]
Infinitive 1.3
withdraw withdrawn [withdraw]
Infinitive 3.2
bent [bend]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
(200×(-2))÷10=-40
Logics 1.4 in
9568÷368=26
Logics 2.4 in
380÷20×970=18430
Logics 3.4 in
169290÷(33×(-10))=-513
Logics 4.4 in
25×(-50×32)×2=-80000
Fraction Examples
Limited 0.3 fp
8/19÷16/855+12935/466=11710/233
Limited 2.3 fp
11932/947÷(4/45+1/9)=59660/947
Complete 0.3 fn
5/6÷371/36+152/371=26/53
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
Quadratic 0.2 in
68x2+2720x=0
Quadratic 1.2 in
8x2=968
Quadratic 2.2 in
24x2-840x=0
Quadratic 3.2 in
-x2+29x+342=0
System 0.2 ip
x-y=20
System 1.3 ip
y-x=62
System 2.2 ip
3600x÷100y=18
System 3.2 ip
47x+36y=7298
Set 0.2 in
7x-2y=-234
Set 1.2 in
-y-x=-10
Set 2.2 in
66x÷5y=66
Set 3.2 in
-60y+79x=-171
Language Exercises
English Vocabulary 3.5
interr ption
Lexicon 2.5
disappr val [censure]
Infinitive 2.3
sight-read [sight-read]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
977x2+306778x=0
Quadratic 1.3 in
40x2=2152960
Quadratic 2.3 in
276x2+2760x=0
Quadratic 3.3 in
-x2+121x+1452=0
System 0.3 ip
8x×5y=1984000
System 2.3 ip
20x×38y=3754400
System 3.3 ip
88x+92y=165040
Set 0.3 in
y+x=20
Set 1.3 in
-y-x=-72
Set 2.3 in
6336x÷3y=6688
Set 3.3 in
-240x-356y=268876
Language Exercises
Infinitive 3.3
find [find]
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