Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 296 · 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 15 − 11 ÷ 3 + 5?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 10 × 18 − 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 13 − 7 × 16?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 14 − 15 × 14?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 6 − 12 + 6?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 18 ÷ 11 + 8?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 17 − 10 ÷ 15?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 ÷ 20 + 5?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 ÷ 16 × 15?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 ÷ 9 × 8?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 4 × 18 + 8?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 19 × 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 19 + 8?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 18 × 15 ÷ 20?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 7 − 7 ÷ 19?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 2 × 14 + 11?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 17 × 5 ÷ 18?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 − 14 ÷ 10?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 12 − 3 + 4?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 × 2 ÷ 16?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 18 − 13 ÷ 18?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 17 + 17 × 6?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 12 − 14 ÷ 5?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 18 + 13 ÷ 7?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 12 + 12 × 7?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 20 − 15 + 9?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 + 5 − 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 10 ÷ 18 + 10?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 + 3 × 2?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 6 + 5 − 9?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 3 + 3 ÷ 4?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 3 × 6 ÷ 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 10 + 12 − 10?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 × 16 + 6?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 9 + 19 − 20?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 + 6 × 20?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 ÷ 11 × 11?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 15 + 5 × 14?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 7 − 20 + 14?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 4 × 20 − 2?

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