Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 319 · 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 14 × 3 + 5 ÷ 18?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 19 + 13 ÷ 11?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 12 + 3 × 19?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 2 ÷ 5 + 7?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 × 5 ÷ 11?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 11 − 3 ÷ 18?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 8 − 4 + 20?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 11 ÷ 3 + 13?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 8 ÷ 13 × 3?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 12 × 12 ÷ 2?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 7 − 12 × 17?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 10 ÷ 17 − 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 16 ÷ 14 × 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 17 × 6 ÷ 6?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 3 − 3 + 3?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 10 + 8 × 4?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 ÷ 12 × 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 ÷ 16 × 15?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 17 ÷ 17 + 7?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 5 ÷ 7 + 9?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 18 + 17 ÷ 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 15 × 8?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 17 − 2 ÷ 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 16 ÷ 20 + 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 ÷ 16 + 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 + 12 ÷ 13?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 16 ÷ 6 × 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 19 ÷ 17 × 14?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 11 × 4 − 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 6 − 4 × 8?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 12 ÷ 13 × 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 13 + 15 ÷ 2?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 17 ÷ 4 + 17?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 × 12 ÷ 18?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 18 ÷ 15 × 5?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 ÷ 18 × 18?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 6 ÷ 4 + 3?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 − 7 ÷ 19?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 − 7 × 3?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 8 − 13 ÷ 20?

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