Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 572 · 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 + 10 ÷ 16 − 11?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 15 × 8 − 5?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 13 ÷ 3 − 13?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 13 × 12 + 6?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 16 × 2 ÷ 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 × 6 − 6?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 7 ÷ 9 + 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 16 × 16 − 13?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 ÷ 12 × 11?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 ÷ 9 − 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 4 × 6?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 8 + 14 × 6?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 8 ÷ 17 + 13?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 17 × 16 + 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 9 × 6 − 2?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 14 × 7 ÷ 6?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 15 + 2?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 4 − 4 ÷ 12?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 5 − 16 × 20?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 14 ÷ 16 × 2?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 + 15 × 20?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 5 × 4 − 2?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 15 + 18 × 20?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 5 ÷ 18 + 18?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 16 ÷ 2?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 ÷ 17 × 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 × 6 + 13?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 ÷ 7 × 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 6 × 17 − 15?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 × 6 ÷ 6?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 − 3 × 6?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 6 + 19 × 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 11 + 5 ÷ 9?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 4 − 17 ÷ 9?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 10 + 7 − 10?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 11 × 2 ÷ 2?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 − 7 ÷ 10?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 11 + 11 ÷ 20?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 4 − 2 ÷ 6?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 11 × 8 + 4?

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