Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 179 · 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 20 ÷ 2 × 18 + 6?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 12 × 3 ÷ 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 15 − 3 × 18?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 16 × 8 − 4?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 19 + 12 − 2?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 5 × 4 + 18?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 17 ÷ 19 × 5?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 7 × 6 ÷ 17?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 3 + 3 ÷ 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 15 ÷ 3 × 11?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 9 × 6 − 7?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 + 6 × 9?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 16 + 12 ÷ 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 3 ÷ 5 − 5?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 8 − 13 + 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 ÷ 20 × 7?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 × 4 + 13?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 + 6 × 3?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 + 12 ÷ 11?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 9 + 15 − 15?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 + 3 ÷ 6?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 − 3 + 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 9 ÷ 12 − 5?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 7 ÷ 3 − 3?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 15 × 14 ÷ 9?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 17 × 9 + 9?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 7 − 6 ÷ 4?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 16 ÷ 15?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 × 19 ÷ 9?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 18 × 19 ÷ 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 4 − 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 3 ÷ 7 − 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 5 × 19?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 4 × 7 − 8?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 5 ÷ 15 + 20?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 14 − 6 ÷ 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 11 − 17 × 7?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 5 ÷ 3 + 10?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 ÷ 20 × 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 3 ÷ 7 − 4?

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