Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 393 · 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 2 + 3 − 3 ÷ 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 14 × 7 − 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 19 ÷ 13 − 8?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 14 − 2 + 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 9 × 19 ÷ 17?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 19 + 15 − 5?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 17 − 14 + 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 14 × 15 + 3?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 ÷ 7 × 12?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 14 ÷ 4 × 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 3 − 10 × 10?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 6 × 16 ÷ 6?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 17 + 17 × 20?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 2 − 9 ÷ 15?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 − 18 × 15?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 8 × 8 − 3?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 4 + 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 × 14 ÷ 5?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 − 18 × 18?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 14 − 20 ÷ 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 + 9 − 4?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 18 + 12 × 20?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 6 − 16 + 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 17 ÷ 13 − 10?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 − 12 × 9?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 6 + 3 − 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 10 ÷ 6 × 3?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 − 18 ÷ 13?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 17 − 4 ÷ 10?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 17 ÷ 16 − 9?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 20 + 2 × 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 3 + 4 × 11?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 × 3 + 15?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 18 + 2 − 6?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 12 ÷ 13 + 20?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 5 ÷ 8 × 9?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 6 + 13 ÷ 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 ÷ 2 × 9?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 6 + 13 − 4?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 6 ÷ 18 + 18?

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