Number Puzzles Worksheet

Logical reasoning lesson 27: Number puzzles · Set 636 · 40 questions

How to think it through (Clues into sums): Magic square: find the total from a full row, column or diagonal, then fill the gap. Digits that add to S and differ by D: the bigger digit is (S + D) ÷ 2. Three consecutive numbers: the middle one is the sum ÷ 3.

1. 1.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 18 more than me. What number am I?
2. 2.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   17 | 14 | 29
   32 | ? | 8
   11 | 26 | 23
3. 3.I am a 2-digit number. My digits add up to 12 and my tens digit is 6 more than my ones digit. What number am I?
4. 4.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   9 | 2 | ?
   4 | 6 | 8
   5 | 10 | 3
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   11 | 9 | 19
   21 | 13 | 5
   ? | 17 | 15
7. 7.I am a 2-digit number. My digits add up to 9 and my tens digit is 1 more than my ones digit. What number am I?
8. 8.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | ? | 16
   13 | 15 | 17
   14 | 19 | 12
9. 9.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   4 | 3 | 8
   9 | 5 | 1
   ? | 7 | 6
10. 10.The sum of three consecutive numbers is 123. What is the largest of them?
11. 11.The sum of three consecutive even numbers is 216. What is the smallest of them?
12. 12.I am a 2-digit number. My digits add up to 5. If you swap my two digits, the new number is 9 more than me. What number am I?
13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    4 | 9 | 8
    ? | 7 | 3
    6 | 5 | 10
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | 27 | ?
    9 | 21 | 33
    30 | 15 | 18
15. 15.I am a 2-digit number. My digits add up to 7. If you swap my two digits, the new number is 27 more than me. What number am I?
16. 16.The sum of three consecutive numbers is 30. What is the largest of them?
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    17 | 7 | ?
    19 | 15 | 11
    9 | 23 | 13
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 2 | 9
    8 | 6 | ?
    3 | 10 | 5
19. 19.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 45 more than me. What number am I?
20. 20.The sum of three consecutive numbers is 108. What is the smallest of them?
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 16 | ?
    10 | 14 | 18
    17 | 12 | 13
22. 22.I am a 2-digit number. My digits add up to 16. If you swap my two digits, the new number is 18 more than me. What number am I?
23. 23.The sum of three consecutive numbers is 63. What is the smallest of them?
24. 24.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | ? | 8
    7 | 5 | 3
    2 | 9 | 4
25. 25.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 54 more than me. What number am I?
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    27 | 6 | ?
    12 | 18 | 24
    15 | 30 | 9
27. 27.The sum of three consecutive even numbers is 168. What is the smallest of them?
28. 28.The sum of three consecutive numbers is 69. What is the largest of them?
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 15 | 5
    3 | 11 | ?
    17 | 7 | 9
30. 30.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 9 | 10
    7 | 11 | 15
    ? | 13 | 8
31. 31.The sum of three consecutive numbers is 60. What is the largest of them?
32. 32.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 54 more than me. What number am I?
33. 33.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 12 | ?
    30 | 18 | 6
    9 | 24 | 21
35. 35.The sum of three consecutive numbers is 27. What is the smallest of them?
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    28 | 13 | 16
    7 | 19 | 31
    22 | ? | 10
37. 37.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 36 more than me. What number am I?
38. 38.The sum of three consecutive numbers is 177. What is the smallest of them?
39. 39.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 9 more than me. What number am I?
40. 40.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 36 more than me. What number am I?

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