Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 833 · 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 + 6 × 10 − 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 × 12 ÷ 6?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 19 − 12 ÷ 2?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 2 − 2 ÷ 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 19 ÷ 14 + 14?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 6 ÷ 2 × 4?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 8 ÷ 3 × 16?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 15 − 10 + 5?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 18 ÷ 19 × 10?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 3 × 17 + 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 + 12 ÷ 13?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 × 6 ÷ 19?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 17 × 2 ÷ 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 7 − 20 ÷ 14?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 × 7 + 6?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 × 8 − 10?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 15 × 16 ÷ 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 ÷ 12 − 17?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 7 ÷ 5 − 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 19 − 20 × 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 14 + 7 ÷ 15?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 20 + 7 × 14?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 3 − 18 ÷ 15?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 − 16 ÷ 18?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 17 − 17 + 13?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 20 ÷ 20 × 5?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 16 × 16 − 3?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 − 4 × 4?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 6 × 3 − 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 14 ÷ 15 + 17?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 20 × 19 + 9?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 17 − 17 ÷ 9?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 − 16 × 8?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 15 + 10 − 2?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 7 + 12 ÷ 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 ÷ 3 − 3?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 8 ÷ 6 − 6?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 15 − 6 + 20?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 × 14 − 11?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 9 ÷ 16 + 2?

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