Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 952 · 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 16 − 11 × 18 ÷ 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 7 ÷ 9 × 17?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 11 × 11 ÷ 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 18 × 2 ÷ 11?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 18 + 3 × 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 × 17 ÷ 7?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 14 ÷ 16 + 8?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 16 − 19 × 9?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 13 − 4 + 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 14 − 18 + 4?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 + 19 − 20?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 3 − 5 + 7?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 16 ÷ 4 × 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 3 − 12 ÷ 20?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 14 × 3 ÷ 17?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 11 + 6 × 12?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 × 14 − 20?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 7 × 7 + 11?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 2 − 8 + 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 6 ÷ 20 + 12?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 16 ÷ 14 − 4?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 13 × 15 + 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 15 ÷ 8 + 18?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 × 15 + 11?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 2 ÷ 2 + 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 12 + 3 − 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 3 − 3 + 7?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 3 ÷ 2 − 15?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 20 + 17 ÷ 20?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 15 × 6 − 12?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 2 − 19 + 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 × 5 ÷ 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 ÷ 7 + 17?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 4 ÷ 10 × 13?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 18 + 17 ÷ 18?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 9 ÷ 17 × 2?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 11 + 4 ÷ 9?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 4 + 5?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 19 × 12 ÷ 4?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 13 × 6 ÷ 5?

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