Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 790 · 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 7 + 7 × 7 − 13?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 3 + 4 − 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 5 ÷ 2 × 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 10 + 10 − 10?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 12 ÷ 14 × 17?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 − 13 ÷ 4?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 6 − 5 ÷ 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 10 − 15 ÷ 19?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 12 + 3 − 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 − 5 + 6?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 3 ÷ 13 − 10?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 17 + 11 ÷ 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 6 × 14 + 13?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 − 5 × 4?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 − 13 × 9?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 19 + 19 × 6?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 6 ÷ 3 × 3?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 14 × 17 ÷ 14?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 18 ÷ 13 × 16?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 2 + 4 × 4?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 9 × 8 − 2?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 19 − 5 + 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 × 14 ÷ 9?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 12 × 5 ÷ 16?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 ÷ 16 − 20?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 − 6 ÷ 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 8 ÷ 15 − 8?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 10 − 6 + 6?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 12 − 4 ÷ 17?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 17 − 18 ÷ 2?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 6 ÷ 14 − 14?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 6 − 18 ÷ 13?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 18 − 9 × 9?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 × 14 ÷ 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 15 + 11 ÷ 18?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 13 × 12?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 × 16 + 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 12 ÷ 5 − 10?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 3 ÷ 4 × 8?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 5 × 14 + 4?

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