Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 63 · 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 12 + 3 − 7 ÷ 18?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 × 16 + 2?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 13 − 18 ÷ 8?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 8 ÷ 7 + 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 18 × 6 − 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 15 ÷ 8 + 13?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 20 × 20 − 18?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 15 + 19 − 15?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 9 ÷ 12 + 18?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 18 + 2 − 13?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 6 × 2 ÷ 15?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 20 − 7 × 11?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 7 − 20 + 10?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 − 14 + 8?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 2 + 12 × 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 4 ÷ 10 + 18?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 11 − 7 ÷ 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 2 ÷ 10 − 14?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 18 × 7 ÷ 8?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 × 12 ÷ 18?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 13 ÷ 2 × 19?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 19 ÷ 9 − 9?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 16 ÷ 14 − 8?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 19 × 8 ÷ 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 − 18 + 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 6 ÷ 18 − 9?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 14 + 7 ÷ 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 4 + 16 × 18?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 3 ÷ 6 × 15?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 − 9 × 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 2 ÷ 8 + 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 ÷ 7 × 15?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 18 ÷ 19 × 17?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 3 × 5 − 4?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 14 × 6?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 6 × 14 ÷ 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 − 2 ÷ 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 16 ÷ 13 + 18?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 18 − 2 + 6?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 − 19 ÷ 4?

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