Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 318 · 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 ÷ 10 × 18 + 14?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 5 + 14 − 10?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 16 + 4 × 2?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 8 ÷ 2 + 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 6 ÷ 17 × 12?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 4 ÷ 3 × 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 × 17 ÷ 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 4 + 8 − 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 × 18 − 9?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 19 ÷ 18 × 9?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 12 ÷ 15?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 16 + 18 − 18?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 16 ÷ 8 + 8?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 13 ÷ 4 + 7?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 + 4 − 9?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 16 ÷ 2 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 19 ÷ 11 + 8?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 2 − 20 ÷ 16?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 5 − 20 + 2?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 10 × 8 + 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 15 ÷ 12 − 11?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 + 2 − 17?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 2 − 10 × 20?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 3 + 3 ÷ 17?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 3 ÷ 19 × 18?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 13 − 19 ÷ 16?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 7 × 13 + 19?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 8 − 6 ÷ 16?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 ÷ 14 × 7?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 + 13 ÷ 8?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 12 ÷ 14 × 5?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 7 × 6 ÷ 4?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 9 − 9 × 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 10 + 6 − 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 14 × 4 + 11?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 − 13 × 15?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 × 8 − 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 9 ÷ 20 × 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 2 ÷ 14 + 2?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 2 ÷ 19 × 7?

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