Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 465 · 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 6 − 7 ÷ 17 × 11?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 6 − 15 × 6?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 ÷ 9 − 13?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 16 ÷ 4 − 13?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 − 10 + 15?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 7 × 9 ÷ 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 + 3 ÷ 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 18 × 6 − 8?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 5 ÷ 10 − 7?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 17 × 9 + 3?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 + 12 × 10?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 ÷ 4 × 6?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 × 18 ÷ 3?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 6 × 4 ÷ 8?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 7 × 18 + 6?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 13 + 5 − 9?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 4 ÷ 6 − 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 ÷ 5 × 13?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 6 + 5 ÷ 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 16 × 2 − 14?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 14 − 8 ÷ 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 18 + 12 × 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 − 10 × 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 17 + 17 − 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 14 − 18 × 18?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 13 + 14 ÷ 3?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 10 ÷ 4 × 13?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 + 8 ÷ 5?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 16 × 6 ÷ 13?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 10 − 7 + 10?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 17 × 14 ÷ 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 12 + 8 × 12?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 6 + 9 ÷ 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 2 ÷ 15 × 15?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 12 × 3?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 + 15 ÷ 11?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 2 − 10 × 10?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 16 − 2 ÷ 12?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 + 5 × 8?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 − 3 ÷ 9?

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