Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 656 · 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 5 + 12 − 12 × 17?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 13 + 15 − 13?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 19 − 18 ÷ 10?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 10 ÷ 10 − 5?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 15 ÷ 10 × 16?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 4 − 6 × 9?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 3 + 7 ÷ 18?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 × 2 + 19?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 × 13 ÷ 7?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 11 + 3 − 3?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 6 ÷ 2 × 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 5 ÷ 11 − 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 − 20 × 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 − 6 ÷ 6?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 ÷ 12 × 2?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 4 − 18 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 19 ÷ 18 + 17?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 12 − 19 ÷ 15?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 − 3 × 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 + 18 − 18?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 ÷ 11 × 9?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 2 − 16 + 3?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 20 × 4 − 8?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 16 × 8 + 17?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 18 − 18 ÷ 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 11 ÷ 7 + 8?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 + 3 × 14?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 20 ÷ 4 + 7?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 − 20 ÷ 14?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 10 × 4 + 10?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 5 ÷ 6 + 15?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 15 ÷ 10 + 16?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 ÷ 7 × 5?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 17 − 7 ÷ 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 − 11 × 11?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 × 11 − 7?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 8 + 9 − 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 − 7 + 17 × 20?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 19 ÷ 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 ÷ 20 × 20?

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