Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 943 · 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 8 × 6 + 6 ÷ 2?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 12 × 2 ÷ 3?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 ÷ 5 − 7?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 4 + 20 ÷ 13?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 8 × 19 ÷ 10?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 14 + 14 − 10?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 6 ÷ 14 + 2?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 − 9 × 6?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 × 2 ÷ 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 − 3 × 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 7 × 3?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 17 ÷ 5 − 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 15 + 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 17 + 12?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 14 ÷ 2 × 15?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 4 × 15 ÷ 20?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 3 − 5 + 15?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 3 − 6 × 6?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 × 3 ÷ 9?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 3 ÷ 15 − 20?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 + 6 − 15?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 14 − 7 × 3?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 ÷ 6 × 6?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 ÷ 5 + 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 × 4 ÷ 19?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 11 ÷ 7 + 6?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 20 × 18 ÷ 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 2 × 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 ÷ 13 × 20?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 20 + 6 − 19?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 ÷ 14 − 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 11 ÷ 10 − 5?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 ÷ 20 − 4?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 8 − 10 ÷ 14?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 19 ÷ 6 + 3?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 × 8 ÷ 5?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 ÷ 2 − 7?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 5 − 11 + 18?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 20 + 14 × 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 13 + 13 ÷ 20?

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