Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 553 · 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 + 2 − 17 ÷ 11?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 20 − 12 + 6?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 16 ÷ 13 − 20?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 15 − 4 ÷ 13?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 7 − 12 × 5?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 ÷ 12 × 3?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 15 ÷ 12 − 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 7 ÷ 12 − 7?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 7 − 7 + 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 15 ÷ 11 × 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 6 − 6 ÷ 10?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 18 + 12 × 8?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 ÷ 12 − 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 9 + 12 − 3?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 + 16 × 4?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 5 + 10 × 10?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 9 × 4 − 2?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 − 12 + 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 2 × 10 ÷ 10?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 15 − 5 ÷ 6?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 × 12 ÷ 15?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 19 ÷ 2?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 20 ÷ 2 + 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 × 8 ÷ 14?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 15 ÷ 3 − 9?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 9 + 18 ÷ 9?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 7 × 16 ÷ 4?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 19 ÷ 3 + 6?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 10 + 2 ÷ 18?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 18 + 2 ÷ 13?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 16 × 9 ÷ 19?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 × 15 − 18?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 3 ÷ 5 + 4?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 11 ÷ 4 + 11?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 9 + 6 − 18?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 19 − 4 ÷ 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 4 ÷ 8 + 9?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 18 − 5 + 18?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 12 − 11?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 7 + 6 × 14?

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