Worksheet: Ascending & Descending Order | Class 2 to 4 | CBSE & UP Board | GPN

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Class 2 Class 3 Class 4 CBSE UP Board Worksheet 30 Solved + 20 Practice

GuidedPath Noida · Primary Maths · Worksheet

Ascending & Descending Order

Arranging 2-digit, 3-digit and 4-digit numbers in ascending (smallest to greatest) and descending (greatest to smallest) order. Digit-by-digit comparison, mixed-digit-count sets, greatest and smallest number formation, word problems. 30 fully solved + 20 practice questions with answer key.

📋 Worksheet Contents:

• 1 Solved — Starter (Q1–10)
• 2 Solved — Core Practice (Q11–22)
• 3 Solved — Challenge (Q23–30)
• 4 Practice — Section A (Q1–8)
• 5 Practice — Section B (Q9–16)
• 6 Practice — Section C (Q17–20)
• 7 Answer Key

📌 All solved questions show full step-by-step working. Attempt the practice questions on your own first — then check the answer key at the bottom.

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🟡

Solved Questions — Starter

Q1 to Q10 · 2-digit numbers · Ascending & Descending

Q1 Arrange in ascending order: 45, 23, 67, 12 Starter ▼

Solution

Ascending order = smallest to greatest (counting up ↑)

45

23

67

12

1

Compare Tens digits: 4, 2, 6, 1 → order: 1 < 2 < 4 < 6

2

So: 12 < 23 < 45 < 67

12

<

23

<

45

<

67

✓ Ascending: 12, 23, 45, 67

Q2 Arrange in descending order: 45, 23, 67, 12 Starter ▼

Solution

Descending order = greatest to smallest (counting down ↓)

1

Same numbers as Q1 — reverse the ascending order

67

>

45

>

23

>

12

✓ Descending: 67, 45, 23, 12

Q3 Arrange in ascending order: 81, 18, 71, 17 Starter ▼

Solution

1

Tens digits: 8, 1, 7, 1 → two numbers share T=1: 18 and 17

2

For 18 vs 17: T equal → Ones: 8 vs 7 → 17 < 18

3

Full order: 17 < 18 < 71 < 81

17

<

18

<

71

<

81

✓ Ascending: 17, 18, 71, 81

Q4 Arrange in descending order: 56, 65, 50, 60 Starter ▼

Solution

1

Tens: 5, 6, 5, 6 → two pairs with same T

2

T=6: 65 vs 60 → O: 5 > 0 → 65 > 60

3

T=5: 56 vs 50 → O: 6 > 0 → 56 > 50

4

Descending: 65 > 60 > 56 > 50

65

>

60

>

56

>

50

✓ Descending: 65, 60, 56, 50

Q5 Write the greatest and smallest number from: 34, 43, 30, 40 Starter ▼

Solution

1

Ascending: 30 < 34 < 40 < 43

2

Smallest = 30 · Greatest = 43

✓ Greatest = 43 · Smallest = 30

Q6 Arrange in ascending order: 99, 9, 90, 19 Starter ▼

Solution

Digit count first: 1-digit numbers are always less than 2-digit numbers.

1

9 is 1-digit → smallest of all

2

Remaining 2-digit: 99, 90, 19 → Tens: 9, 9, 1 → 19 < 90, then 90 vs 99: O: 0 < 9

9

<

19

<

90

<

99

✓ Ascending: 9, 19, 90, 99

Q7 Arrange in descending order: 27, 72, 22, 77 Starter ▼

Solution

1

Tens: 2, 7, 2, 7 → T=7 pair: 72 vs 77 → O: 2 < 7 → 77 > 72

2

T=2 pair: 27 vs 22 → O: 7 > 2 → 27 > 22

77

>

72

>

27

>

22

✓ Descending: 77, 72, 27, 22

Q8 True or False: Ascending order means arranging from greatest to smallest. Starter ▼

Solution

1

Ascending = smallest to greatest (like climbing up stairs)

2

Greatest to smallest = Descending order

✓ False — Ascending is smallest to greatest. Descending is greatest to smallest.

Q9 Arrange in ascending order: 38, 83, 38, 88 Starter ▼

Solution

1

Note: 38 appears twice — equal numbers stay together

2

Tens: 3, 8, 3, 8 → 38 = 38 < 83 < 88

38

=

38

<

83

<

88

✓ Ascending: 38, 38, 83, 88

Q10 Write any 5 two-digit numbers in descending order. Starter ▼

Solution

1

Choose any 5 two-digit numbers (sample answer used here)

2

Numbers: 95, 72, 60, 48, 13

95

>

72

>

60

>

48

>

13

✓ Sample: 95, 72, 60, 48, 13 (any valid set accepted)

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🔵

Solved Questions — Core Practice

Q11 to Q22 · 3-digit & 4-digit · Mixed sets · Exam-style

Q11 Arrange in ascending order: 347, 374, 304, 430 Core ▼

Solution

Number	H	T	O
347	3	4	7
374	3	7	4
304	3	0	4
430	4	3	0

1

H digits: 3, 3, 3, 4 → 430 has H=4 → greatest, goes last

2

Remaining (H=3): compare T → 0, 4, 7 → 304 < 347 < 374

304

<

347

<

374

<

430

✓ Ascending: 304, 347, 374, 430

Q12 Arrange in descending order: 512, 521, 215, 251 Core ▼

Solution

Number	H	T	O
512	5	1	2
521	5	2	1
215	2	1	5
251	2	5	1

1

H=5 group: 512 vs 521 → T: 1 < 2 → 521 > 512

2

H=2 group: 215 vs 251 → T: 1 < 5 → 251 > 215

3

Descending: 521 > 512 > 251 > 215

521

>

512

>

251

>

215

✓ Descending: 521, 512, 251, 215

Q13 Arrange in ascending order: 800, 80, 8, 808 Core ▼

Solution

1

Digit counts: 8→1 digit, 80→2 digits, 800 & 808→3 digits

2

1-digit < 2-digit < 3-digit

3

Within 3-digit: 800 vs 808 → H=8, T=0, O: 0 vs 8 → 800 < 808

8

<

80

<

800

<

808

✓ Ascending: 8, 80, 800, 808

Q14 Arrange in descending order: 4,321 · 3,421 · 4,231 · 3,241 Core ▼

Solution

Number	Th	H	T	O
4,321	4	3	2	1
3,421	3	4	2	1
4,231	4	2	3	1
3,241	3	2	4	1

1

Th=4 group: 4,321 vs 4,231 → H: 3 > 2 → 4,321 > 4,231

2

Th=3 group: 3,421 vs 3,241 → H: 4 > 2 → 3,421 > 3,241

3

Descending: 4,321 > 4,231 > 3,421 > 3,241

4,321

>

4,231

>

3,421

>

3,241

✓ Descending: 4,321, 4,231, 3,421, 3,241

Q15 Arrange in ascending order: 1,050 · 1,500 · 1,005 · 5,001 Core ▼

Solution

Number	Th	H	T	O
1,050	1	0	5	0
1,500	1	5	0	0
1,005	1	0	0	5
5,001	5	0	0	1

1

Th: 1, 1, 1, 5 → 5,001 is greatest

2

Th=1 group → H: 0, 5, 0 → 1,500 greatest of this group

3

H=0 pair: 1,050 vs 1,005 → T: 5 vs 0 → 1,005 < 1,050

1,005

<

1,050

<

1,500

<

5,001

✓ Ascending: 1,005, 1,050, 1,500, 5,001

Q16 Arrange in descending order: 999 · 99 · 9,999 · 9 Core ▼

Solution

1

Digit counts: 9→1, 99→2, 999→3, 9,999→4

2

More digits = greater → 9,999 > 999 > 99 > 9

9,999

>

999

>

99

>

9

✓ Descending: 9,999, 999, 99, 9

Q17 Form the greatest and smallest 3-digit numbers using digits 7, 2, 5 (each once). Then arrange them in ascending order. Core ▼

Solution

1

Digits: 2, 5, 7

2

Greatest → descending digits: 752

3

Smallest → ascending digits: 257

4

Ascending order: 257 < 752

✓ Greatest = 752 · Smallest = 257 · Ascending: 257, 752

Q18 Arrange in ascending order: 5,432 · 5,342 · 5,423 · 5,324 Core ▼

Solution

Number	Th	H	T	O
5,432	5	4	3	2
5,342	5	3	4	2
5,423	5	4	2	3
5,324	5	3	2	4

1

All Th=5 → compare H: 4, 3, 4, 3

2

H=3 group: 5,342 vs 5,324 → T: 4 > 2 → 5,324 < 5,342

3

H=4 group: 5,432 vs 5,423 → T: 3 > 2 → 5,423 < 5,432

5,324

<

5,342

<

5,423

<

5,432

✓ Ascending: 5,324, 5,342, 5,423, 5,432

Q19 Which number comes just before and just after 700 in ascending order from this set: 695, 705, 698, 703? Core ▼

Solution

1

Ascending order of set: 695 < 698 < 703 < 705

2

700 fits between 698 and 703

695

<

698

<

700

<

703

<

705

✓ Just before 700 = 698 · Just after 700 = 703

Q20 Arrange in descending order: 2,007 · 2,070 · 2,700 · 7,002 Core ▼

Solution

1

Th: 2, 2, 2, 7 → 7,002 greatest

2

Th=2 group → H: 0, 0, 7 → 2,700 greatest of group

3

H=0 pair: 2,007 vs 2,070 → T: 0 < 7 → 2,070 > 2,007

7,002

>

2,700

>

2,070

>

2,007

✓ Descending: 7,002, 2,700, 2,070, 2,007

Q21 Form the greatest and smallest 4-digit numbers using digits 6, 0, 3, 9 (each once). Core ▼

Solution

1

Digits: 0, 3, 6, 9

2

Greatest → descending, 0 can go anywhere: 9,630

3

Smallest → 0 cannot lead → 3,069

✓ Greatest = 9,630 · Smallest = 3,069

Q22 Arrange in ascending order: 6,006 · 6,060 · 6,600 · 6,000 Core ▼

Solution

Number	Th	H	T	O
6,006	6	0	0	6
6,060	6	0	6	0
6,600	6	6	0	0
6,000	6	0	0	0

1

All Th=6 → H: 0,0,6,0 → 6,600 greatest

2

H=0 group → T: 0,6,0 → 6,060 next

3

T=0 pair: 6,006 vs 6,000 → O: 6 > 0 → 6,000 < 6,006

6,000

<

6,006

<

6,060

<

6,600

✓ Ascending: 6,000, 6,006, 6,060, 6,600

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🟢

Solved Questions — Challenge

Q23 to Q30 · Board level · Word problems · Reasoning

Q23 Five students scored: 435, 543, 345, 534, 453. Arrange scores in descending order. Who scored highest and lowest? Challenge ▼

Solution

Score	H	T	O
435	4	3	5
543	5	4	3
345	3	4	5
534	5	3	4
453	4	5	3

1

H: 4,5,3,5,4 → H=5 group: 543 vs 534 → T: 4>3 → 543 > 534

2

H=4 group: 435 vs 453 → T: 3<5 → 453 > 435

3

H=3: only 345 → smallest

543

>

534

>

453

>

435

>

345

✓ Descending: 543, 534, 453, 435, 345 · Highest = 543 · Lowest = 345

Q24 Using digits 4, 0, 8, 1 (each once) form ALL possible 4-digit numbers and arrange in ascending order. Challenge ▼

Solution

1

Digits: 0, 1, 4, 8 — leading digit cannot be 0

2

Starting with 1: 1,048 · 1,084 · 1,408 · 1,480 · 1,804 · 1,840

3

Starting with 4: 4,018 · 4,081 · 4,108 · 4,180 · 4,801 · 4,810

4

Starting with 8: 8,014 · 8,041 · 8,104 · 8,140 · 8,401 · 8,410

✓ Ascending: 1,048 < 1,084 < 1,408 < 1,480 < 1,804 < 1,840 < 4,018 < … < 8,410 (18 numbers total; smallest = 1,048, greatest = 8,410)

Q25 The prices of 4 books are ₹325, ₹235, ₹532, ₹253. Arrange prices in ascending order. Which book is cheapest? Challenge ▼

Solution

1

H: 3, 2, 5, 2 → H=5: 532 greatest · H=2 group: 235 vs 253 → T: 3<5 → 235 < 253 · H=3: 325 middle

₹235

<

₹253

<

₹325

<

₹532

✓ Ascending: ₹235, ₹253, ₹325, ₹532 · Cheapest = ₹235

Q26 Arrange in ascending order: 3,456 · 456 · 56 · 6 · 3,546 Challenge ▼

Solution

1

Digit counts: 6→1, 56→2, 456→3, 3,456&3,546→4

2

1<2<3<4 digit — so first three: 6<56<456

3

4-digit pair: 3,456 vs 3,546 → H: 4<5 → 3,456 < 3,546

6

<

56

<

456

<

3,456

<

3,546

✓ Ascending: 6, 56, 456, 3,456, 3,546

Q27 Ravi says "8,001 comes after 8,100 in ascending order." Is he correct? Arrange both correctly. Challenge ▼

Solution

1

8,001 vs 8,100 → Th: 8=8 → H: 0 vs 1 → 8,001 < 8,100

2

In ascending order: 8,001 comes BEFORE 8,100 (not after)

8,001

<

8,100

✓ No, Ravi is wrong. 8,001 < 8,100 · Ascending: 8,001, 8,100

Q28 Four runners finished a race in these times (seconds): 1,245 · 1,254 · 1,025 · 1,052. Arrange in ascending order. Who won (least time)? Challenge ▼

Solution

1

All Th=1 → H: 2, 2, 0, 0

2

H=0 group: 1,025 vs 1,052 → T: 2<5 → 1,025 < 1,052

3

H=2 group: 1,245 vs 1,254 → T: 4<5 → 1,245 < 1,254

1,025

<

1,052

<

1,245

<

1,254

✓ Ascending: 1,025, 1,052, 1,245, 1,254 · Winner = 1,025 seconds (least time)

Q29 Find the middle value when arranged in ascending order: 562, 256, 625, 526, 265 Challenge ▼

Solution

1

H: 5,2,6,5,2 → H=2: 256 vs 265 → T:5<6 → 256<265 · H=5: 562 vs 526 → T:6>2 → 562>526 · H=6: 625 greatest

256

<

265

<

526

<

562

<

625

Middle value (3rd of 5) = 526

✓ Ascending: 256, 265, 526, 562, 625 · Middle = 526

Q30 A number is the 3rd greatest in this set: 4,123 · 4,312 · 4,132 · 4,321 · 4,231. Find it and also write the complete descending order. Challenge ▼

Solution

Number	Th	H	T	O
4,123	4	1	2	3
4,312	4	3	1	2
4,132	4	1	3	2
4,321	4	3	2	1
4,231	4	2	3	1

1

All Th=4 → H: 1,3,1,3,2

2

H=3: 4,312 vs 4,321 → T:1<2 → 4,321 > 4,312

3

H=2: only 4,231

4

H=1: 4,123 vs 4,132 → T:2<3 → 4,132>4,123

4,321

>

4,312

>

4,231

>

4,132

>

4,123

✓ Descending: 4,321, 4,312, 4,231, 4,132, 4,123 · 3rd greatest = 4,231

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✏️

Practice Questions — Section A

Q1 to Q8 · 2-digit numbers · Straightforward

• 1 Arrange in ascending order: 52, 25, 72, 27
• 2 Arrange in descending order: 34, 43, 30, 40
• 3 Write the greatest and smallest from: 61, 16, 60, 10
• 4 Arrange in ascending order: 7, 70, 17, 77
• 5 Arrange in descending order: 48, 84, 44, 88
• 6 True or False: Descending order of 10, 20, 30 is 10, 20, 30.
• 7 Arrange in ascending order: 99, 9, 90, 09
• 8 Which is the 2nd smallest: 36, 63, 33, 66?

✏️

Practice Questions — Section B

Q9 to Q16 · 3-digit & 4-digit · Moderate

• 9 Arrange in ascending order: 631, 613, 316, 361
• 10 Arrange in descending order: 4,500 · 5,400 · 4,050 · 5,040
• 11 Form greatest and smallest 4-digit numbers using 3, 9, 0, 5 (each once).
• 12 Arrange in ascending order: 1,001 · 1,100 · 1,010 · 1,110
• 13 Arrange in descending order: 205 · 25 · 2,050 · 2,500
• 14 Which number comes just after 850 in ascending order from: 845, 852, 860, 849?
• 15 Arrange in ascending order: 7,070 · 7,007 · 7,700 · 7,000
• 16 Form greatest and smallest 3-digit numbers using digits 8, 0, 3 (each once).

🏆

Practice Questions — Section C

Q17 to Q20 · HOTs · Word problems · Reasoning

• 17 The runs scored by 5 cricketers are: 324, 243, 432, 342, 234. Arrange in descending order. Who scored the most and least?
• 18 Using digits 5, 0, 2, 7 (each once), form the greatest and smallest 4-digit numbers. Find their difference.
• 19 Find the middle value when arranged in ascending order: 3,408 · 3,048 · 3,480 · 3,804 · 3,840
• 20 A is the 2nd smallest and B is the 2nd greatest in the set: 1,234 · 1,342 · 1,243 · 1,432 · 1,324. Find A and B, then find A + B.

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🔑

Answer Key — Practice Questions

Attempt all 20 questions before checking

🔑 Show Answer Key — All 20 Questions ▼

Section A — Q1 to Q8

Q1. 25, 27, 52, 72
Q2. 43, 40, 34, 30
Q3. Greatest = 61 · Smallest = 10
Q4. 7, 17, 70, 77
Q5. 88, 84, 48, 44
Q6. False — descending is 30, 20, 10
Q7. 9, 90, 99 (09 = 9, same as 9)
Q8. 36 (ascending: 33 < 36 < 63 < 66 → 2nd smallest = 36)

Section B — Q9 to Q16

Q9. 316, 361, 613, 631
Q10. 5,400, 5,040, 4,500, 4,050
Q11. Greatest = 9,530 · Smallest = 3,059
Q12. 1,001, 1,010, 1,100, 1,110
Q13. 2,500, 2,050, 205, 25
Q14. 852 (ascending: 845, 849, 850, 852, 860 → just after 850 is 852)
Q15. 7,000, 7,007, 7,070, 7,700
Q16. Greatest = 830 · Smallest = 308

Section C — Q17 to Q20

Q17. Descending: 432, 342, 324, 243, 234 · Most = 432 · Least = 234
Q18. Greatest = 7,520 · Smallest = 2,057 · Difference = 7,520 − 2,057 = 5,463
Q19. Ascending: 3,048, 3,408, 3,480, 3,804, 3,840 · Middle (3rd) = 3,480
Q20. Ascending: 1,234, 1,243, 1,324, 1,342, 1,432 · A (2nd smallest) = 1,243 · B (2nd greatest) = 1,342 · A + B = 2,585

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