Symbol Substitution Worksheet

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

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