Number Puzzles Worksheet

Logical reasoning lesson 27: Number puzzles · Set 35 · 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.The sum of three consecutive numbers is 171. What is the largest of them?
2. 2.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?
3. 3.The sum of three consecutive numbers is 120. What is the smallest of them?
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   ? | 22 | 19
   28 | 16 | 4
   13 | 10 | 25
5. 5.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?
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   4 | ? | 2
   3 | 5 | 7
   8 | 1 | 6
7. 7.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   11 | 6 | 13
   12 | 10 | ?
   7 | 14 | 9
8. 8.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 36 more than me. What number am I?
9. 9.I am a 2-digit number. My digits add up to 10 and my tens digit is 8 more than my ones digit. What number am I?
10. 10.The sum of three consecutive even numbers is 198. What is the largest of them?
11. 11.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 21 | 19
    25 | 17 | 9
    ? | 13 | 23
12. 12.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | ? | 4
    2 | 10 | 18
    16 | 6 | 8
13. 13.I am a 2-digit number. My digits add up to 6 and my tens digit is 2 more than my ones digit. What number am I?
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | 4 | 5
    2 | 6 | 10
    7 | 8 | ?
15. 15.I am a 2-digit number. My digits add up to 8 and my tens digit is 4 more than my ones digit. What number am I?
16. 16.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    20 | 10 | ?
    6 | 14 | 22
    16 | 18 | 8
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 11 | ?
    17 | 13 | 9
    10 | 15 | 14
18. 18.I am a 2-digit number. My digits add up to 9 and my tens digit is 5 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.
    ? | 27 | 24
    33 | 21 | 9
    18 | 15 | 30
20. 20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 8 | 3
    2 | 6 | 10
    9 | ? | 5
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    4 | 11 | 6
    ? | 7 | 5
    8 | 3 | 10
22. 22.The sum of three consecutive even numbers is 36. What is the largest of them?
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    20 | 22 | 12
    ? | 18 | 26
    24 | 14 | 16
24. 24.The sum of three consecutive numbers is 162. What is the largest of them?
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 10 | 5
    8 | 6 | 4
    7 | 2 | 9
26. 26.The sum of three consecutive even numbers is 54. What is the largest of them?
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    27 | 30 | 15
    12 | 24 | 36
    ? | 18 | 21
28. 28.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
29. 29.I am a 2-digit number. My digits add up to 8 and my tens digit is 8 more than my ones digit. What number am I?
30. 30.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 36 more than me. What number am I?
31. 31.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 10 | 20
    22 | 14 | 6
    8 | ? | 16
32. 32.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 63 more than me. What number am I?
33. 33.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?
34. 34.The sum of three consecutive even numbers is 228. What is the largest of them?
35. 35.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?
36. 36.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?
37. 37.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 18 more than me. What number am I?
38. 38.I am a 2-digit number. My digits add up to 14 and my tens digit is 2 more than my ones digit. What number am I?
39. 39.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 14 | 9
    8 | 12 | ?
    15 | 10 | 11
40. 40.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 18 more than me. What number am I?

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