Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 710 · 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 2 × 15 ÷ 12 − 3?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 10 × 12 + 8?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 14 ÷ 19 − 14?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 11 × 3 − 15?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 × 3 ÷ 18?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 4 ÷ 7 × 15?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 3 + 12 × 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 8 − 13 × 13?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 ÷ 7 − 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 13 + 13 × 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 7 + 3 − 3?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 + 14 ÷ 5?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 3 − 3 × 17?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 10 ÷ 6 − 18?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 14 × 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 2 × 2 ÷ 18?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 2 − 20 + 4?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 × 12 + 5?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 19 + 10 × 12?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 12 − 8 ÷ 14?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 6 × 9 − 16?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 18 − 12 + 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 17 + 8 − 4?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 × 4 + 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 15 − 20 × 17?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 19 ÷ 16 − 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 + 2 ÷ 13?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 4 + 3 × 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 − 14 + 11?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 12 + 4 × 15?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 + 9 × 3?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 11 − 11 ÷ 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 11 + 16 ÷ 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 9 ÷ 6 + 3?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 18 + 13 − 9?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 9 + 4 ÷ 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 + 20 ÷ 5?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 × 3 − 17?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 5 + 10 ÷ 4?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 9 × 18?

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