Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 312 · 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 ÷ 2 + 12 × 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 4 + 4 × 16?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 11 ÷ 12 − 20?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 7 × 12 − 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 − 5 ÷ 6?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 2 ÷ 12 − 17?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 19 ÷ 6?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 ÷ 18 − 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 6 × 14 ÷ 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 10 ÷ 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 ÷ 10 × 15?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 − 14 + 16?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 ÷ 12 − 6?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 13 ÷ 2 + 20?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 19 ÷ 5 × 9?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 3 − 3 + 9?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 19 ÷ 8 × 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 ÷ 6 × 7?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 × 15 − 7?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 11 ÷ 20 − 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 11 ÷ 13 − 5?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 18 ÷ 3 − 12?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 8 + 3 ÷ 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 ÷ 18 + 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 5 ÷ 10 × 7?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 2 − 18 ÷ 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 ÷ 4 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 3 + 11 × 12?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 14 ÷ 3 − 7?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 2 − 18 + 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 13 ÷ 7 + 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 6 ÷ 14 − 7?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 10 + 2 − 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 6 − 9 + 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 15 + 4 − 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 6 × 7 ÷ 3?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 19 ÷ 15 + 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 12 + 5 × 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 6 − 19 + 18?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 + 19 × 8?

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