Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 333 · 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 11 × 8 − 2 + 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 8 + 15 × 19?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 4 − 3 ÷ 6?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 + 7 × 15?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 × 13 ÷ 4?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 19 × 3 + 20?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 19 ÷ 3 × 7?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 4 ÷ 2 − 18?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 14 ÷ 5 − 16?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 3 + 3 ÷ 19?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 14 + 18 × 18?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 + 4 ÷ 8?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 6 − 2 + 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 14 × 11 − 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 + 9 ÷ 6?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 19 − 8 + 19?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 ÷ 12 − 14?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 5 ÷ 15 − 7?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 18 × 8 + 16?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 5 × 3 ÷ 15?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 7 − 2 ÷ 15?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 4 − 12 ÷ 11?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 6 − 10 × 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 6 + 4 − 15?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 + 6 × 8?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 17 ÷ 5 − 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 18 × 3 − 10?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 × 12 ÷ 14?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 7 + 4 ÷ 12?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 5 − 11?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 13 × 8 ÷ 10?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 4 + 6 × 6?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 16 ÷ 15 × 2?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 14 + 8 ÷ 11?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 16 ÷ 11 + 20?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 16 × 8 ÷ 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 × 8 ÷ 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 4 ÷ 18 × 4?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 15 ÷ 4 × 10?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 2 ÷ 20 − 18?

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