Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 657 · 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 15 − 12 × 6 + 3?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 11 + 13 ÷ 17?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 4 + 4 ÷ 11?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 − 17 ÷ 10?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 14 × 7 ÷ 19?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 6 ÷ 5 + 13?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 14 − 11 + 9?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 18 − 11 + 19?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 3 + 20 − 12?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 9 − 3 × 18?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 12 + 14 ÷ 4?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 16 + 4 − 2?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 16 − 2 ÷ 11?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 − 9 ÷ 8?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 3 × 9 + 18?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 × 8 ÷ 17?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 2 × 9 − 17?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 3 × 7 − 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 10 + 5 − 19?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 × 12 ÷ 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 16 + 2 × 7?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 16 × 19 − 19?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 + 8 ÷ 16?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 × 15 ÷ 10?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 9 × 16 + 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 17 − 3 + 14?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 13 × 3 ÷ 10?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 2 × 2 + 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 2 − 11 ÷ 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 8 + 9 − 4?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 8 ÷ 12 − 12?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 19 + 15 × 18?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 − 16 ÷ 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 20 + 11 × 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 17 ÷ 5 − 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 17 + 2 × 12?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 × 15 − 3?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 13 ÷ 17 − 11?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 2 ÷ 16 + 13?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 12 × 14?

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