Number Puzzles Worksheet

Logical reasoning lesson 27: Number puzzles · Set 222 · 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.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   10 | 8 | 18
   20 | 12 | 4
   6 | 16 | ?
2. 2.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 54 more than me. What number am I?
3. 3.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?
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   7 | 8 | 3
   2 | 6 | ?
   9 | 4 | 5
5. 5.I am a 2-digit number. My digits add up to 15 and my tens digit is 3 more than my ones digit. What number am I?
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   12 | 26 | ?
   22 | 18 | 14
   20 | 10 | 24
7. 7.The sum of three consecutive numbers is 171. What is the smallest of them?
8. 8.The sum of three consecutive numbers is 84. What is the largest of them?
9. 9.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   ? | 9 | 14
   11 | 13 | 15
   12 | 17 | 10
10. 10.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?
11. 11.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 5 | 10
    ? | 7 | 3
    4 | 9 | 8
12. 12.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    17 | 12 | 13
    10 | 14 | 18
    ? | 16 | 11
13. 13.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 36 more than me. What number am I?
14. 14.I am a 2-digit number. My digits add up to 6 and my tens digit is 4 more than my ones digit. What number am I?
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 16 | ?
    28 | 20 | 12
    14 | 24 | 22
16. 16.The sum of three consecutive numbers is 102. What is the smallest of them?
17. 17.I am a 2-digit number. My digits add up to 11 and my tens digit is 5 more than my ones digit. What number am I?
18. 18.I am a 2-digit number. My digits add up to 9 and my tens digit is 7 more than my ones digit. What number am I?
19. 19.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 12 | 7
    6 | 10 | 14
    13 | 8 | 9
20. 20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | 9 | 30
    27 | 21 | 15
    12 | ? | 18
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    29 | 14 | 17
    8 | 20 | 32
    23 | ? | 11
22. 22.I am a 2-digit number. My digits add up to 3 and my tens digit is 3 more than my ones digit. What number am I?
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    2 | 7 | 6
    9 | 5 | 1
    ? | 3 | 8
24. 24.The sum of three consecutive numbers is 177. What is the smallest of them?
25. 25.The sum of three consecutive numbers is 114. What is the largest of them?
26. 26.I am a 2-digit number. My digits add up to 7 and my tens digit is 7 more than my ones digit. What number am I?
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 23 | 21
    27 | 19 | 11
    17 | ? | 25
28. 28.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 34 | 19
    28 | 22 | 16
    25 | 10 | ?
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    3 | 8 | 7
    10 | 6 | 2
    5 | 4 | ?
30. 30.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | ? | 14
    11 | 13 | 15
    12 | 17 | 10
31. 31.I am a 2-digit number. My digits add up to 5 and my tens digit is 5 more than my ones digit. What number am I?
32. 32.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    34 | 13 | 28
    19 | 25 | 31
    22 | 37 | ?
33. 33.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 23 | ?
    27 | 19 | 11
    17 | 15 | 25
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 15 | 10
    9 | 13 | 17
    16 | 11 | ?
35. 35.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 15 | 10
    13 | 11 | 9
    12 | ? | 14
36. 36.The sum of three consecutive numbers is 60. What is the largest of them?
37. 37.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 21 | 11
    17 | 13 | 9
    15 | 5 | ?
38. 38.The sum of three consecutive numbers is 174. What is the largest of them?
39. 39.The sum of three consecutive numbers is 75. What is the largest of them?
40. 40.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?

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