Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 693 · 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 9 − 7 + 7 ÷ 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 6 + 2 − 11?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 2 ÷ 4 × 19?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 3 ÷ 19 − 16?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 16 + 5 × 18?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 + 17 ÷ 16?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 10 + 18 × 2?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 19 − 15 ÷ 8?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 8 ÷ 9 − 8?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 10 + 2 ÷ 4?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 + 7 × 3?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 18 − 4 + 6?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 17 + 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 + 4 ÷ 17?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 − 13 ÷ 9?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 ÷ 12 − 4?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 9 − 10 × 17?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 × 19 ÷ 11?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 8 − 13 + 4?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 − 2 × 7?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 20 − 2 × 3?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 10 ÷ 5 × 11?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 16 − 17?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 12 + 8 − 7?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 3 − 3 ÷ 18?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 + 12 × 4?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 ÷ 17 × 8?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 19 − 2 ÷ 6?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 5 × 12 − 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 15 ÷ 8 + 15?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 2 ÷ 2 × 4?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 9 × 8 + 19?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 12 + 20 − 7?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 5 × 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 2 − 4 + 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 5 × 7 ÷ 6?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 12 × 3 ÷ 7?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 8 ÷ 18 − 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 + 2 × 7?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 2 ÷ 14 + 14?

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