Grade 4 · Maths · curriculum collection
Grade 4 Maths, Common Core domains
8 units for Grade 4 maths, organised by Common Core domain: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations: Fractions, Measurement and Data. Each unit has a short lesson, a practice worksheet and a review worksheet, both with answer keys.
Answer-checked and approved on 29 October 2026
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Aligned by StudyBrix at domain level. Not an official publication of, or endorsed by, the standards' authors. Framework: Common Core State Standards for Mathematics.
Units in teaching order
4.OA Operations and Algebraic Thinking
Arithmetic
Division facts.
Short lesson: Division facts
Study guide for Grades 3 to 4: 2 worked examples and 2 practice questions. Use the related multiplication fact; the divisor cannot be zero.
dividend ÷ divisor = quotient
Use the related multiplication fact; the divisor cannot be zero.
Worked example
56 ÷ 8 = ?
8 × 7 = 56
Answer: 7
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
44 ÷ 4 = ?
84 ÷ 12 = ?
40 ÷ 4 = ?
55 ÷ 11 = ?
6 ÷ 6 = ?
48 ÷ 4 = ?
45 ÷ 9 = ?
7 ÷ 1 = ?
4 ÷ 1 = ?
60 ÷ 12 = ?
18 ÷ 9 = ?
10 ÷ 2 = ?
Answer key
- 11 4 × 11 = 44
- 7 12 × 7 = 84
- 10 4 × 10 = 40
- 5 11 × 5 = 55
- 1 6 × 1 = 6
- 12 4 × 12 = 48
- 5 9 × 5 = 45
- 7 1 × 7 = 7
- 4 1 × 4 = 4
- 5 12 × 5 = 60
- 2 9 × 2 = 18
- 5 2 × 5 = 10
Review worksheet: 12 questions
21 ÷ 3 = ?
35 ÷ 7 = ?
54 ÷ 6 = ?
108 ÷ 12 = ?
33 ÷ 3 = ?
90 ÷ 9 = ?
18 ÷ 6 = ?
72 ÷ 12 = ?
36 ÷ 9 = ?
70 ÷ 7 = ?
20 ÷ 10 = ?
72 ÷ 9 = ?
Answer key
- 7 3 × 7 = 21
- 5 7 × 5 = 35
- 9 6 × 9 = 54
- 9 12 × 9 = 108
- 11 3 × 11 = 33
- 10 9 × 10 = 90
- 3 6 × 3 = 18
- 6 12 × 6 = 72
- 4 9 × 4 = 36
- 10 7 × 10 = 70
- 2 10 × 2 = 20
- 8 9 × 8 = 72
4.OA Operations and Algebraic Thinking
Number patterns
Number patterns.
Short lesson: Number patterns
In a number pattern, the same rule takes you from each number to the next.
- Find the rule. Work out the difference between neighbouring numbers. If it is always the same, that is the rule.
- Check the rule. Make sure the rule works for every pair of numbers, not only the first two.
- Continue the pattern. Apply the rule to the last number to find the next one.
Worked example
What comes next? 47, 63, 79, 95, ...
Each number is 16 more than the one before: 63 is 47 + 16, and so on. So the next number is 95 + 16 = 111.
Answer: 111
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
What comes next? 49, 67, 85, 103, …
What comes next? 25, 47, 69, 91, …
What comes next? 35, 50, 65, 80, …
What comes next? 36, 45, 54, 63, …
What comes next? 13, 31, 49, 67, …
What comes next? 69, 73, 77, 81, …
What comes next? 90, 102, 114, 126, …
What comes next? 25, 42, 59, 76, …
What comes next? 45, 56, 67, 78, …
What comes next? 75, 99, 123, 147, …
What comes next? 29, 54, 79, 104, …
What comes next? 63, 72, 81, 90, …
Answer key
- 121 103 + 18 = 121
- 113 91 + 22 = 113
- 95 80 + 15 = 95
- 72 63 + 9 = 72
- 85 67 + 18 = 85
- 85 81 + 4 = 85
- 138 126 + 12 = 138
- 93 76 + 17 = 93
- 89 78 + 11 = 89
- 171 147 + 24 = 171
- 129 104 + 25 = 129
- 99 90 + 9 = 99
Review worksheet: 12 questions
What comes next? 1, 15, 29, 43, …
What comes next? 32, 49, 66, 83, …
What comes next? 20, 29, 38, 47, …
What comes next? 89, 102, 115, 128, …
What comes next? 27, 35, 43, 51, …
What comes next? 82, 100, 118, 136, …
What comes next? 31, 37, 43, 49, …
What comes next? 76, 100, 124, 148, …
What comes next? 77, 79, 81, 83, …
What comes next? 9, 16, 23, 30, …
What comes next? 78, 95, 112, 129, …
What comes next? 5, 23, 41, 59, …
Answer key
- 57 43 + 14 = 57
- 100 83 + 17 = 100
- 56 47 + 9 = 56
- 141 128 + 13 = 141
- 59 51 + 8 = 59
- 154 136 + 18 = 154
- 55 49 + 6 = 55
- 172 148 + 24 = 172
- 85 83 + 2 = 85
- 37 30 + 7 = 37
- 146 129 + 17 = 146
- 77 59 + 18 = 77
4.NBT Number and Operations in Base Ten
Place value
Rounding to the nearest hundred and place value.
Short lesson: Greatest common factor
Study guide for Grades 4 to 7: 2 worked examples and 2 practice questions. A factor divides a whole number without a remainder.
gcd(a,b) = gcd(b, a mod b)
A factor divides a whole number without a remainder.
Worked example
Find the greatest common factor of 123 and 50.
gcd(123, 50) = 1
Answer: 1
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
What is the value of the hundreds digit in 7965?
Round 1031 to the nearest hundred.
What is the value of the hundreds digit in 3686?
Round 3124 to the nearest hundred.
What is the value of the hundreds digit in 1863?
Round 344 to the nearest hundred.
What is the value of the hundreds digit in 2925?
Round 8531 to the nearest hundred.
What is the value of the hundreds digit in 2209?
Round 6378 to the nearest hundred.
What is the value of the hundreds digit in 1724?
Round 4991 to the nearest hundred.
Answer key
- 900 9 × 100 = 900
- 1000 1031 → 1000
- 600 6 × 100 = 600
- 3100 3124 → 3100
- 800 8 × 100 = 800
- 300 344 → 300
- 900 9 × 100 = 900
- 8500 8531 → 8500
- 200 2 × 100 = 200
- 6400 6378 → 6400
- 700 7 × 100 = 700
- 5000 4991 → 5000
Review worksheet: 12 questions
Round 4393 to the nearest hundred.
What is the value of the hundreds digit in 1625?
Round 6266 to the nearest hundred.
What is the value of the hundreds digit in 5553?
Round 7833 to the nearest hundred.
What is the value of the hundreds digit in 7929?
Round 8156 to the nearest hundred.
What is the value of the hundreds digit in 6279?
Round 598 to the nearest hundred.
What is the value of the hundreds digit in 2475?
Round 8284 to the nearest hundred.
What is the value of the hundreds digit in 3319?
Answer key
- 4400 4393 → 4400
- 600 6 × 100 = 600
- 6300 6266 → 6300
- 500 5 × 100 = 500
- 7800 7833 → 7800
- 900 9 × 100 = 900
- 8200 8156 → 8200
- 200 2 × 100 = 200
- 600 598 → 600
- 400 4 × 100 = 400
- 8300 8284 → 8300
- 300 3 × 100 = 300
4.NBT Number and Operations in Base Ten
Multi-digit calculation
Adding multi-digit numbers, subtracting multi-digit numbers, dividing whole numbers and multiplying whole numbers.
Short lesson: Division facts
Study guide for Grades 3 to 4: 2 worked examples and 2 practice questions. Use the related multiplication fact; the divisor cannot be zero.
dividend ÷ divisor = quotient
Use the related multiplication fact; the divisor cannot be zero.
Worked example
56 ÷ 8 = ?
8 × 7 = 56
Answer: 7
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
922 − 909 = ?
33 × 9 = ?
206 + 209 = ?
966 ÷ 21 = ?
266 − 104 = ?
48 × 14 = ?
770 + 322 = ?
78 ÷ 13 = ?
158 − 69 = ?
14 × 6 = ?
857 + 421 = ?
450 ÷ 9 = ?
Answer key
- 13 922 − 909 = 13
- 297 33 × 9 = 297
- 415 206 + 209 = 415
- 46 21 × 46 = 966
- 162 266 − 104 = 162
- 672 48 × 14 = 672
- 1092 770 + 322 = 1092
- 6 13 × 6 = 78
- 89 158 − 69 = 89
- 84 14 × 6 = 84
- 1278 857 + 421 = 1278
- 50 9 × 50 = 450
Review worksheet: 12 questions
34 × 2 = ?
308 − 218 = ?
409 + 114 = ?
1034 ÷ 22 = ?
7 × 17 = ?
702 − 382 = ?
355 + 26 = ?
384 ÷ 8 = ?
27 × 10 = ?
890 − 694 = ?
220 + 352 = ?
833 ÷ 17 = ?
Answer key
- 68 34 × 2 = 68
- 90 308 − 218 = 90
- 523 409 + 114 = 523
- 47 22 × 47 = 1034
- 119 7 × 17 = 119
- 320 702 − 382 = 320
- 381 355 + 26 = 381
- 48 8 × 48 = 384
- 270 27 × 10 = 270
- 196 890 − 694 = 196
- 572 220 + 352 = 572
- 49 17 × 49 = 833
4.NF Number and Operations: Fractions
Fraction concepts and operations
Comparing fractions, adding fractions, subtracting mixed numbers, simplifying fractions, equivalent fractions and a fraction of a quantity.
Short lesson: Subtract mixed numbers
Study guide for Grades 4 to 7: 2 worked examples and 2 practice questions. Convert to improper fractions; then subtract with a common denominator.
w a/b = (wb + a)/b
Convert to improper fractions; then subtract with a common denominator.
Worked example
Calculate 7 1/4 − 5 2/4. Give a fraction in simplest form.
(29 − 22)/4 = 7/4
Answer: 7/4
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
Calculate 9 11/12 − 5 1/12. Give a fraction in simplest form.
Simplify 135/252.
Find 2/3 of 30.
Choose <, > or =: 4/14 □ 10/2
- <
- =
- >
17/19 − 13/19 = ?
6/7 = □/49
9/10 + 1/18 = ?
2/14 + □ = 1
Calculate 9 4/5 − 1 3/5. Give a fraction in simplest form.
Simplify 10/100.
Find 1/12 of 108.
Choose <, > or =: 12/3 □ 2/14
- <
- >
- =
Answer key
- 29/6 (119 − 61)/12 = 29/6
- 15/28 135/252 = 15/28
- 20 30 ÷ 3 × 2 = 20
- < 4 × 2 = 8; 10 × 14 = 140
- 4/19 (17 − 13)/19 = 4/19
- 42 6 × 7 = 42; 7 × 7 = 49
- 43/45 162/180 + 10/180 = 43/45
- 6/7 2/14 + 12/14 = 14/14 = 1
- 41/5 (49 − 8)/5 = 41/5
- 1/10 10/100 = 1/10
- 9 108 ÷ 12 × 1 = 9
- > 12 × 14 = 168; 2 × 3 = 6
Review worksheet: 12 questions
Choose <, > or =: 11/10 □ 11/12
- <
- >
- =
1/15 = □/105
Simplify 180/260.
14/31 − 13/31 = ?
Calculate 6 4/11 − 4 5/11. Give a fraction in simplest form.
11/13 + 2/7 = ?
Find 2/6 of 174.
2/16 + □ = 1
Choose <, > or =: 2/8 □ 2/10
- <
- =
- >
5/20 = □/220
Simplify 30/90.
17/25 − 4/25 = ?
Answer key
- > 11 × 12 = 132; 11 × 10 = 110
- 7 1 × 7 = 7; 15 × 7 = 105
- 9/13 180/260 = 9/13
- 1/31 (14 − 13)/31 = 1/31
- 21/11 (70 − 49)/11 = 21/11
- 103/91 77/91 + 26/91 = 103/91
- 58 174 ÷ 6 × 2 = 58
- 7/8 2/16 + 14/16 = 16/16 = 1
- > 2 × 10 = 20; 2 × 8 = 16
- 55 5 × 11 = 55; 20 × 11 = 220
- 1/3 30/90 = 1/3
- 13/25 (17 − 4)/25 = 13/25
4.NF Number and Operations: Fractions
Decimal fractions
Tenths as decimals.
Short lesson: Tenths as decimals
Study guide for Grades 4 to 5: 2 worked examples and 2 practice questions. The tenths place is one position after the decimal separator.
a/10 = a ÷ 10
The tenths place is one position after the decimal separator.
Worked example
Write 86/10 as a decimal.
86 ÷ 10 = 8.6
Answer: 8.6
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
Write 29/10 as a decimal.
Write 44/10 as a decimal.
Write 34/10 as a decimal.
Write 36/10 as a decimal.
Write 84/10 as a decimal.
Write 10/10 as a decimal.
Write 83/10 as a decimal.
Write 42/10 as a decimal.
Write 80/10 as a decimal.
Write 74/10 as a decimal.
Write 92/10 as a decimal.
Write 81/10 as a decimal.
Answer key
- 2.9 29 ÷ 10 = 2.9
- 4.4 44 ÷ 10 = 4.4
- 3.4 34 ÷ 10 = 3.4
- 3.6 36 ÷ 10 = 3.6
- 8.4 84 ÷ 10 = 8.4
- 1 10 ÷ 10 = 1
- 8.3 83 ÷ 10 = 8.3
- 4.2 42 ÷ 10 = 4.2
- 8 80 ÷ 10 = 8
- 7.4 74 ÷ 10 = 7.4
- 9.2 92 ÷ 10 = 9.2
- 8.1 81 ÷ 10 = 8.1
Review worksheet: 12 questions
Write 22/10 as a decimal.
Write 66/10 as a decimal.
Write 96/10 as a decimal.
Write 40/10 as a decimal.
Write 99/10 as a decimal.
Write 95/10 as a decimal.
Write 26/10 as a decimal.
Write 17/10 as a decimal.
Write 31/10 as a decimal.
Write 89/10 as a decimal.
Write 59/10 as a decimal.
Write 49/10 as a decimal.
Answer key
- 2.2 22 ÷ 10 = 2.2
- 6.6 66 ÷ 10 = 6.6
- 9.6 96 ÷ 10 = 9.6
- 4 40 ÷ 10 = 4
- 9.9 99 ÷ 10 = 9.9
- 9.5 95 ÷ 10 = 9.5
- 2.6 26 ÷ 10 = 2.6
- 1.7 17 ÷ 10 = 1.7
- 3.1 31 ÷ 10 = 3.1
- 8.9 89 ÷ 10 = 8.9
- 5.9 59 ÷ 10 = 5.9
- 4.9 49 ÷ 10 = 4.9
4.MD Measurement and Data
Area, perimeter and volume
Perimeter of rectangles, area of rectangles, finding a missing side from the area and perimeter of squares.
Short lesson: Find a missing rectangle side
Study guide for Grades 3 to 6: 2 worked examples and 2 practice questions. Use consistent length and area units.
width = area ÷ length
Use consistent length and area units.
Worked example
A rectangle has area 648 cm² and length 27 cm. Find its width in cm.
648 ÷ 27 = 24
Answer: 24 cm
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
A rectangle has area 874 cm² and length 38 cm. Find its width in cm.
Find the area of a 8 cm by 20 cm rectangle, in cm².
A rectangle is 12 cm long and 7 cm wide. Find its perimeter in cm.
A square has side 75 cm. Find its perimeter in cm.
A rectangle has area 782 cm² and length 34 cm. Find its width in cm.
Find the area of a 12 cm by 37 cm rectangle, in cm².
A rectangle is 67 cm long and 46 cm wide. Find its perimeter in cm.
A square has side 57 cm. Find its perimeter in cm.
A rectangle has area 48 cm² and length 16 cm. Find its width in cm.
Find the area of a 17 cm by 56 cm rectangle, in cm².
A rectangle is 43 cm long and 42 cm wide. Find its perimeter in cm.
A square has side 73 cm. Find its perimeter in cm.
Answer key
- 23 cm 874 ÷ 38 = 23
- 160 cm² 8 × 20 = 160 cm²
- 38 cm 2 × (12 + 7) = 38 cm
- 300 cm 4 × 75 = 300
- 23 cm 782 ÷ 34 = 23
- 444 cm² 12 × 37 = 444 cm²
- 226 cm 2 × (67 + 46) = 226 cm
- 228 cm 4 × 57 = 228
- 3 cm 48 ÷ 16 = 3
- 952 cm² 17 × 56 = 952 cm²
- 170 cm 2 × (43 + 42) = 170 cm
- 292 cm 4 × 73 = 292
Review worksheet: 12 questions
A rectangle has area 506 cm² and length 22 cm. Find its width in cm.
Find the area of a 46 cm by 12 cm rectangle, in cm².
A rectangle is 53 cm long and 59 cm wide. Find its perimeter in cm.
A square has side 72 cm. Find its perimeter in cm.
A rectangle has area 105 cm² and length 35 cm. Find its width in cm.
Find the area of a 38 cm by 9 cm rectangle, in cm².
A rectangle is 33 cm long and 57 cm wide. Find its perimeter in cm.
A square has side 20 cm. Find its perimeter in cm.
A rectangle has area 81 cm² and length 9 cm. Find its width in cm.
Find the area of a 56 cm by 60 cm rectangle, in cm².
A rectangle is 18 cm long and 33 cm wide. Find its perimeter in cm.
A square has side 13 cm. Find its perimeter in cm.
Answer key
- 23 cm 506 ÷ 22 = 23
- 552 cm² 46 × 12 = 552 cm²
- 224 cm 2 × (53 + 59) = 224 cm
- 288 cm 4 × 72 = 288
- 3 cm 105 ÷ 35 = 3
- 342 cm² 38 × 9 = 342 cm²
- 180 cm 2 × (33 + 57) = 180 cm
- 80 cm 4 × 20 = 80
- 9 cm 81 ÷ 9 = 9
- 3360 cm² 56 × 60 = 3360 cm²
- 102 cm 2 × (18 + 33) = 102 cm
- 52 cm 4 × 13 = 52
4.MD Measurement and Data
Measurement & time
Elapsed time, converting metres and centimetres, converting kilograms and grams and converting hours and minutes.
Short lesson: Hours and minutes
Study guide for Grades 2 to 4: 2 worked examples and 2 practice questions. Multiply hours by sixty, then add the extra minutes.
1 hour = 60 minutes
Multiply hours by sixty, then add the extra minutes.
Worked example
Convert 6 hours and 37 minutes to minutes.
6 × 60 + 37 = 397
Answer: 397 min
Worksheets
A practice worksheet and a review worksheet, 12 and 12 questions.
Practice worksheet: 12 questions
Convert 78.24 metres to centimetres.
Convert 74.8 kg to g.
Convert 9 hours and 29 minutes to minutes.
An activity starts at 05:02 and ends at 05:39 on the same day (24-hour clock). How many minutes does it last?
Convert 80.91 metres to centimetres.
Convert 3 kg to g.
Convert 10 hours and 49 minutes to minutes.
An activity starts at 16:59 and ends at 20:28 on the same day (24-hour clock). How many minutes does it last?
Convert 94.72 metres to centimetres.
Convert 88.9 kg to g.
Convert 7 hours and 21 minutes to minutes.
An activity starts at 16:53 and ends at 19:45 on the same day (24-hour clock). How many minutes does it last?
Answer key
- 7824 cm 78.24 × 100 = 7824
- 74800 g 74.8 × 1000 = 74800
- 569 min 9 × 60 + 29 = 569
- 37 min 339 − 302 = 37
- 8091 cm 80.91 × 100 = 8091
- 3000 g 3 × 1000 = 3000
- 649 min 10 × 60 + 49 = 649
- 209 min 1228 − 1019 = 209
- 9472 cm 94.72 × 100 = 9472
- 88900 g 88.9 × 1000 = 88900
- 441 min 7 × 60 + 21 = 441
- 172 min 1185 − 1013 = 172
Review worksheet: 12 questions
Convert 87.93 metres to centimetres.
Convert 53 kg to g.
Convert 2 hours and 49 minutes to minutes.
An activity starts at 12:45 and ends at 14:44 on the same day (24-hour clock). How many minutes does it last?
Convert 66.28 metres to centimetres.
Convert 82.1 kg to g.
Convert 8 hours and 56 minutes to minutes.
An activity starts at 06:17 and ends at 10:10 on the same day (24-hour clock). How many minutes does it last?
Convert 31.35 metres to centimetres.
Convert 29.7 kg to g.
Convert 11 hours and 29 minutes to minutes.
An activity starts at 03:00 and ends at 04:37 on the same day (24-hour clock). How many minutes does it last?
Answer key
- 8793 cm 87.93 × 100 = 8793
- 53000 g 53 × 1000 = 53000
- 169 min 2 × 60 + 49 = 169
- 119 min 884 − 765 = 119
- 6628 cm 66.28 × 100 = 6628
- 82100 g 82.1 × 1000 = 82100
- 536 min 8 × 60 + 56 = 536
- 233 min 610 − 377 = 233
- 3135 cm 31.35 × 100 = 3135
- 29700 g 29.7 × 1000 = 29700
- 689 min 11 × 60 + 29 = 689
- 97 min 277 − 180 = 97