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
2+3=5
Addition #3
3+3=6
Addition #4
3+0=3
Addition #5
2+1=3
Subtraction #1
4-1=3
Subtraction #2
3-1=2
Subtraction #3
3-2=1
Subtraction #4
8-1=7
Subtraction #5
7-2=5
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
2+8=10
Addition #7
3+2=5
Addition #8
3+7=10
Addition #9
4+5=9
Addition #10
4+6=10
Addition #11
5+9=14
Addition #12
5+3=8
Addition #13
0+6=6
Addition #14
4+5=9
Addition #15
4+7=11
Addition #16
8+7=15
Addition #17
4+6=10
Addition #18
8+2=10
Addition #19
5+9=14
Addition #20
2-1=1
Addition #21
10+4=14
Addition #22
8+10=18
Subtraction #7
7-4=3
Subtraction #8
8-5=3
Subtraction #9
11-2=9
Subtraction #11
15-4=11
Subtraction #12
5-2=3
Subtraction #13
7-6=1
Subtraction #14
15-7=8
Subtraction #15
10-5=5
Subtraction #16
17-8=9
Subtraction #17
16-7=9
Subtraction #18
19-9=10
Subtraction #19
15-10=5
Subtraction #21
13-10=3
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
3+(6+1)=10
Beginner 1.3 ip
1+94=95
Beginner 2.3 ip
95-41=54
Beginner 3.3 ip
56+0=56
Beginner 4.2 ip
2+0+9=11
Beginner 5.1 ip
8-(10-8)=6
Step-by-step Tasks
Addition #23
11+7=18
Addition #24
5+5=10
Addition #25
9+0=9
Addition #26
12+5=17
Addition #27
13+23=36
Addition #28
12+4=16
Addition #29
5+10=15
Addition #30
18-15=3
Addition #31
2+25=27
Addition #32
14+16=30
Addition #33
27+3=30
Subtraction #22
9-6=3
Subtraction #23
5-1=4
Subtraction #24
18-12=6
Subtraction #26
4-3=1
Subtraction #27
11-4=7
Subtraction #28
12-5=7
Subtraction #29
18-6=12
Subtraction #31
19-7=12
Subtraction #32
8-8=0
Multiplication #1
3×1=3
Multiplication #2
1×2=2
Multiplication #3
2×7=14
Division #1
7÷1=7
Comparisons
Language Exercises
Russian Vocabulary 1.1
к стрюля
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
14-(2+12)=0
Beginner 1.4 ip
892+54=946
Beginner 2.4 ip
779-1=778
Beginner 3.4 ip
968-658=310
Beginner 4.3 ip
77-3-22=52
Beginner 5.2 ip
19+(9-8)=20
Cognizant 1.1 ip
2×3=6
Cognizant 2.1 ip
90÷2=45
Cognizant 3.1 ip
5×2=10
Column 1.1 ip
74+26=100
Column 2.1 ip
70-34=36
Column 3.1 ip
16+80=96
Step-by-step Tasks
Addition #34
26+14=40
Addition #35
28+2=30
Addition #36
8+3=11
Addition #37
8+9=17
Addition #38
90+10=100
Addition #39
39+11=50
Addition #40
7+0+10=17
Subtraction #33
27-8=19
Subtraction #34
24-14=10
Subtraction #36
12-9=3
Subtraction #37
3-0=3
Subtraction #38
39-29=10
Subtraction #39
20-10=10
Multiplication #4
10×3=30
Multiplication #5
10×2=20
Multiplication #6
4×9=36
Multiplication #7
10×4=40
Multiplication #8
5×10=50
Multiplication #9
10×5=50
Multiplication #10
2×10=20
Multiplication #11
10×6=60
Multiplication #12
7×5=35
Multiplication #13
7×7=49
Multiplication #14
9×6=54
Multiplication #15
5×2=10
Multiplication #16
0×8=0
Multiplication #17
8×10=80
Multiplication #18
9×1=9
Multiplication #19
2×9=18
Multiplication #20
10×8=80
Multiplication #21
10×2=20
Division #2
10÷2=5
Division #3
12÷2=6
Division #4
18÷3=6
Division #5
12÷3=4
Division #6
0÷4=0
Division #7
8÷1=8
Division #8
0÷5=0
Division #9
24÷4=6
Division #10
10÷1=10
Division #11
12÷6=2
Division #12
6÷6=1
Division #13
56÷7=8
Division #14
0÷4=0
Division #15
10÷2=5
Division #16
80÷8=10
Division #17
0÷3=0
Division #18
54÷9=6
Division #19
45÷5=9
Division #20
80÷8=10
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
н уклюжий
Russian Vocabulary 2.1
к пуста
Russian Vocabulary 3.1
п нал
Lexicon 1.1
tar [luminary]
Lexicon 2.1
a nt [relative]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
27+1=28
Beginner 4.4 ip
897+24-626=295
Beginner 5.3 ip
82-(48-36)=70
Cognizant 0.1 ip
20÷2×(3×2)=60
Cognizant 1.2 ip
7×32=224
Cognizant 2.2 ip
568÷8=71
Cognizant 3.2 ip
406÷2=203
Cognizant 4.1 ip
4×4×4=64
Cognizant 5.1 ip
5×(10×2)=100
Cognizant 6.1 ip
24÷(4÷2)÷4=3
Remainder 1.1 ip
29÷9=3(2)
Column 1.2 ip
2601+3664=6265
Column 2.2 ip
7149-4065=3084
Column 3.2 ip
2194+206=2400
Multiplier 1.1 ip
45×2=90
Divisor 1.1 ip
16÷2=8
Numeracy 1.1 ip
87-34÷2=70
Numeracy 2.1 ip
28+16×4÷2=60
Divisor_ENG 1.1 ip
60÷6=10
Remainder_ENG 1.1 ip
41÷6=6(5)
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
2×11=22
Multiplication #24
3×11=33
Multiplication #25
10×2=20
Multiplication #26
4×12=48
Multiplication #27
12×5=60
Multiplication #28
4×3=12
Multiplication #29
5×16=80
Multiplication #30
10×4=40
Multiplication #31
19×6=114
Multiplication #32
13×7=91
Multiplication #33
9×15=135
Multiplication #34
17×8=136
Multiplication #35
18×3=54
Multiplication #36
20×9=180
Multiplication #37
19×9=171
Multiplication #38
10×16=160
Multiplication #39
20×19=380
Multiplication #40
6×12=72
Division #22
16÷2=8
Division #23
55÷11=5
Division #24
51÷3=17
Division #25
30÷3=10
Division #26
32÷4=8
Division #27
40÷5=8
Division #28
24÷6=4
Division #29
54÷3=18
Division #30
100÷10=10
Division #31
18÷6=3
Division #32
84÷7=12
Division #33
91÷7=13
Division #34
104÷8=13
Division #35
60÷10=6
Division #36
144÷9=16
Division #37
98÷7=14
Division #38
260÷20=13
Division #39
27÷3=9
Division #40
55÷11=5
Comparisons
Natural 0.2 ip
80÷10 < 90÷10
Natural 1.3 ip
125 < 539
Natural 2.3 ip
738-94 < 460+420
Natural 3.2 ip
35÷7 < 80÷5
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-(85+224)=455
Beginner 1.5 ip
92877+7123=100000
Beginner 2.5 ip
691254-681381=9873
Beginner 3.5 ip
123667+740701=864368
Beginner 5.4 ip
431-(247-156)=340
Cognizant 0.2 ip
28÷2×27=378
Cognizant 1.3 ip
9×32=288
Cognizant 2.3 ip
5600÷20=280
Cognizant 3.3 ip
3600÷50=72
Cognizant 4.2 ip
36÷4÷9=1
Cognizant 5.2 ip
(120÷2)÷3=20
Cognizant 6.2 ip
10÷(5×2)×20=20
Remainder 1.2 ip
60÷5=12
Column 1.3 ip
347811+402227=750038
Column 2.3 ip
647490-586112=61378
Column 3.3 ip
457348-227348=230000
Multiplier 1.2 ip
7298×9=65682
Multiplier 1.3 ip
5749×42=241458
Divisor 1.2 ip
106÷2=53
Numeracy 0.1 ip
45+(54-38)÷2=53
Numeracy 1.2 ip
840÷15+312=368
Numeracy 2.2 ip
579-132÷6-56=501
Numeracy 3.1 ip
92-(3+5)×9=20
Divisor_ENG 1.2 ip
637÷7=91
Remainder_ENG 1.2 ip
28÷4=7
Comparisons
Natural 0.3 ip
968 > 688
Natural 1.4 ip
611200 < 611247
Natural 2.4 ip
978592-119645 > 300438-238438
Natural 3.3 ip
360÷9 = 560÷14
Equations
Linear 0.1 ip
7×x=7
Linear 1.3 ip
x-262=38
Linear 2.3 ip
x×50=450
Linear 3.2 ip
80÷x+6=8
Linear 4.1 ip
9÷(x+1)=3
Rounding
Language Exercises
Russian Vocabulary 2.3
оз рничать
English Vocabulary 1.2
range
English Vocabulary 2.2
c lled
Lexicon 1.2
ph ne [call]
Lexicon 2.2
ar und [round]
Infinitive 1.1
freeze frozen [freeze]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
900000-320000=580000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
291757+(668981-380000)=580738
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
147594-525292=-377698
Conversant 2.1 in
-2-1+0=-3
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
400÷50×1250=10000
Cognizant 5.3 ip
(64÷8)×6=48
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
85000×103=8755000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
400÷10+21×10=250
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
800+(4842-3742)×72=80000
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
96÷3=32
Decimal Examples
Partitive 0.1 dp
3+(9-8.5)=3.5
Partitive 0.2 dp
21-(94.5-74.7)=1.2
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
22.1+(76.9-19.9)=79.1
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
890114-40114 > 305002+36972
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
-1-3 < 2-0
Ceil 3.1 in
6÷(-3) = 6÷(-3)
Point 1.1 dp
91 > 12.2
Point 2.1 dp
81.4-79.4 < 3.9+83.3
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
20/37 < 661/74
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
x×15=60
Linear 0.3 ip
x+753=903
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
220×(795-x)=440
Lineal 1.1 in
x+5=3
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
86.6≈87
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
97+168≈27
Round 0.2 ip
3×1404≈42
Round 0.3 ip
894105-359965≈534
Round 1.3 ip
102436≈102
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
988÷13≈8
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
317850÷489≈1
Language Exercises
Russian Vocabulary 1.4
вер вание
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
st te
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
fr end
Lexicon 1.3
min ral [inorganic]
Infinitive 2.1
partake [partake]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4+(-1-0)=-5
Conversant 0.2 in
6-3=3
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
8-16=-8
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
0-(6+4)=-10
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
28+(-1-38)=-11
Conversant 4.1 in
(10+2)+(6-8)=10
Conversant 4.2 in
-(14-20)-(19-10)=-3
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
583200÷72÷4=2025
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
51004×1300=66305200
Divisor 1.4 ip
2400÷24=100
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
-24×2-35=-83
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
2×(-9)=-18
Logics 2.1 in
12÷4×(-2)=-6
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
12000÷60=200
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
11.58+84.27=95.85
Partitive 2.3 dp
70-58+33=45
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
-7+(-14.5-70.1)=-91.6
Residual 1.1 dp
47÷5=9.4
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
0.9×10=9
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
6.84÷7.2=0.95
Denary 4.1 dp
10.5×6×0.4=25.2
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
93.7+1.5÷3÷0.5=94.7
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
32+8÷3.2-4.5=30
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
95-0.6×32.5÷0.1=-100
Residual_ENG 1.1 dp
51÷10=5.1
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
1/2-1/4+3/8=5/8
Numerator 0.2 fp
2/3+131/15=47/5
Numerator 1.2 fp
33/4-3/4=15/2
Numerator 2.1 fp
3/8+1/8+2/5=9/10
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-1/8-3/4=-7/8
Denominator 2.1 fn
-1/4-1/4+1/2=0/1
Denominator 3.1 fn
-1/3+(1/3-1/3)=-1/3
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
13/15×61/13=61/15
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
24/72=1/3
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
-11-49 < -6+1
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
-11×8 < 96÷(-2)
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
36 > 25.4
Point 0.2 dp
40.02 < 48
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
14.5×6.8 > 27×0.5
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
-26.8-14.6 = 20.1-61.5
Doted 0.2 dn
12.6-82.6 < 3.59+9.41
Doted 1.1 dn
21.5 > -92
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
19/2÷190/89 = 13/15×267/52
Improper 1.3 fp
1703/128 > 71/352
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
455/17-268/17 < 1/2+23/2
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
3/4×16/27 < 348/65÷116/13
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
44÷(-x)=2
Lineal 1.2 in
-1+x=49
Lineal 1.3 in
-104+x=854
Lineal 2.2 in
80÷(-x)=-2
Lineal 2.3 in
x×31=806
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
62.56÷3.03≈20.6
Rounding 1.2 dp
17.03≈17
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
29.55+63.64≈93.2
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
cl mbing
Lexicon 2.3
attac [join]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
make [make]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
-118119+880000-889743=-127862
Conversant 3.4 in
-172-(-877+488)=217
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
(50+199)-(544-575)=280
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-593-384÷(2+2)=-689
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
-457+90÷30-347=-801
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
160.427+(600-260.427)=500
Split 0.3 dn
90-(9.88+99.84)=-19.72
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
-93.76+11=-82.76
Split 1.4 dn
558-592.917=-34.917
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
543.668-193.87-949.798=-600
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
(0.6×0.6)÷4=0.09
Denary 0.3 dp
9.6÷1.28=7.5
Denary 1.3 dp
6.075×5.12=31.104
Denary 2.3 dp
0.644÷64.4=0.01
Denary 3.3 dp
1.1×0.04=0.044
Denary 4.2 dp
0.8×0.5×24.3=9.72
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
Definition 1.2 dp
2×0.04+9.95=10.03
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
60.27+4.32÷8.64×11.14=65.84
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
48×0.1+1.6÷16=4.9
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
127/9+89/9=24/1
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
111/22+17/14=482/77
Denominator 1.2 fn
-103/30+137/15=57/10
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
-1/12+(-1/3-379/66)=-271/44
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
175/4×28/25=49/1
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
Reduction 1.3 fp
57920/880=724/11
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
2/9×(-1/2-1/4)=-1/6
Complete 1.1 fn
15/2÷60/7+61/8=17/2
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
876219-121902 > -260768-593141
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
4.467+37.136 < 126.849+127.583
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
3.2×24.5 > 19.2×0.8
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
11.471 > -11.454
Doted 1.4 dn
358.696 < 358.713
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
-5/2+2/1 < 11/2-19/9
Descent 1.3 fn
-13777/249 < -61/415
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
об яние
English Vocabulary 1.4
irr tated
English Vocabulary 2.4
re sonable
Lexicon 1.4
caref l [anxious]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
(8372+1628)÷(-18-7)=-400
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
-1680÷2÷(-6)=140
Logics 3.3 in
-528÷(16×(-3))=11
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
1.52÷0.76=2
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
8.96×25×0.05=11.2
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
Definition 1.4 dp
0.66÷0.825+891.392=892.192
Definition 2.4 dp
936.92+2.7÷2.4-400=538.045
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
Definition 3.4 dp
(2.157+2.843)×(39.029+39.004)=390.165
Negatory 0.3 dn
-0.78×54+58.046=15.926
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
9.375×0.096-20÷12.5=-0.7
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-4/15+(3377/62-1/90)=15119/279
Fragment 0.3 fp
75/2÷1/2=75/1
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
-6450/617+274/9×216/137=23166/617
Complete 2.2 fn
784/29÷(-19/2-79/2)=-16/29
Comparisons
Doted 0.4 dn
2 < 721.033
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
Descent 3.3 fn
17/24×(-1432/15) < -15/26×10/9
Equations
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
4x2=256
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
3x2-3x-6=0
System 0.1 ip
13x÷y=13
System 1.2 ip
y+x=199
System 2.1 ip
18x÷3y=27
System 3.1 ip
6y-2x=40
Set 0.1 in
-x+y=20
Set 1.1 in
y+x=-1
Set 2.1 in
-2y×19x=304
Set 3.1 in
-10y+4x=-60
Language Exercises
Russian Vocabulary 2.5
наскво ь
English Vocabulary 1.5
enthu iastic
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
congres
Lexicon 1.5
enthu iastic [ebullient]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
draw drew [draw]
Infinitive 3.2
unhung [unhang]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
10×21600÷320=675
Logics 1.4 in
243×426=103518
Logics 2.4 in
-10000÷(-20)÷10=50
Logics 3.4 in
1080÷(-180÷60)=-360
Logics 4.4 in
-932400÷(-225÷(-15))÷(-210)=296
Fraction Examples
Limited 0.3 fp
263/15+11/13×52/55=55/3
Limited 2.3 fp
(289/4-4877/68)×306/175=162/175
Complete 0.3 fn
-3117/298-15/149×217/30=-1667/149
Complete 2.3 fn
28/5×(52/5+117/20)=91/1
Equations
Quadratic 0.2 in
90x2=0
Quadratic 1.2 in
16x2=40000
Quadratic 2.2 in
12x2+1200x=0
Quadratic 3.2 in
x2-16x-80=0
System 0.2 ip
74y-31x=1716
System 1.3 ip
x-y=47
System 2.2 ip
69x÷23y=2
System 3.2 ip
62y+48x=7700
Set 0.2 in
1800x÷12y=-24
Set 1.2 in
-y+x=-11
Set 2.2 in
4y×x=20000
Set 3.2 in
8y+12x=1640
Language Exercises
Russian Vocabulary 3.5
н верх
English Vocabulary 3.5
continuo sly
Lexicon 2.5
c mmitment [obligation]
Infinitive 2.3
beset [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
61x2=8171316
Quadratic 1.3 in
670x2=4288000
Quadratic 2.3 in
-912x2+740544x=0
Quadratic 3.3 in
18x2-558x-1188=0
System 0.3 ip
x+y=800
System 2.3 ip
840x÷294y=4
System 3.3 ip
150x+131y=145362
Set 0.3 in
108y-930x=183060
Set 1.3 in
-y-x=704
Set 2.3 in
96y÷16x=1689
Set 3.3 in
239y-9x=-98470
Language Exercises
Infinitive 3.3
outbid [outbid]
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