Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 56 · 40 questions

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

1. 1.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 ÷ 18 + 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 11 ÷ 14 − 18?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 + 4 × 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 19 − 15 + 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 18 × 6 − 13?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 4 + 4 ÷ 4?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 18 + 18 − 6?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 6 × 5 ÷ 8?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 11 ÷ 3 + 8?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 10 ÷ 8 × 8?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 + 4 × 15?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 − 5 + 8 × 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 12 − 3 × 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 + 12 × 4?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 20 × 20 − 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 × 19 ÷ 8?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 + 20 − 4?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 11 + 15 × 4?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 14 − 20 ÷ 14?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 6 ÷ 8 − 20?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 5 ÷ 6 + 12?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 18 − 2 × 13?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 14 ÷ 3 − 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 ÷ 11 × 12?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 5 × 2 − 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 18 ÷ 7 − 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 × 5 − 19?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 14 ÷ 19 − 14?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 17 − 17 ÷ 4?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 12 ÷ 2 + 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 ÷ 12 − 11?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 15 − 7 ÷ 12?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 7 × 2 ÷ 5?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 15 + 5 × 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 11 ÷ 4 + 12?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 15 × 14 + 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 + 19 ÷ 5?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 9 + 3 − 4?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 12 ÷ 19 − 17?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 15 + 3 − 10?

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