Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 260 · 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 18 + 7 − 9 ÷ 4?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 12 × 18 ÷ 8?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 14 ÷ 14 + 6?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 9 × 20 + 12?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 11 + 2 ÷ 8?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 4 − 3 ÷ 20?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 + 2 × 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 3 ÷ 8 × 2?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 6 + 6 ÷ 16?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 12 ÷ 5 + 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 18 × 3 ÷ 18?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 × 11 ÷ 15?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 ÷ 10 + 10?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 8 × 15 ÷ 7?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 14 × 2 + 7?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 8 × 2 ÷ 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 15 × 15 + 18?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 18 − 6 + 12?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 20 ÷ 16 + 5?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 18 − 6 × 5?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 15 ÷ 2 − 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 × 19 ÷ 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 11 − 11 + 11?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 − 6 ÷ 16?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 13 ÷ 4 + 20?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 13 ÷ 12 + 2?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 17 + 13 × 18?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 + 17 − 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 6 ÷ 17 + 18?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 4 + 17 − 17?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 16 ÷ 14 × 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 2 ÷ 11 + 20?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 20 × 20 − 16?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 2 − 3 × 7?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 2 × 2 ÷ 3?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 3 × 13 ÷ 11?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 19 − 2 × 20?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 17 + 12 − 12?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 5 × 19 − 7?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 6 × 4 + 9?

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