Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 279 · 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 18 + 17 ÷ 6 × 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 2 − 20 + 19?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 − 2 ÷ 14?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 13 ÷ 14 + 15?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 2 ÷ 10 × 19?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 4 + 4 ÷ 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 6 ÷ 19 − 13?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 10 × 4?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 17 − 17 × 14?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 13 − 2 + 13?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 5 + 13?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 ÷ 13 × 2?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 16 + 4?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 10 + 16 × 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 19 − 9?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 + 2 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 8 + 7 ÷ 8?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 14 + 20 × 12?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 14 + 16 − 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 4 + 7 − 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 − 14 ÷ 16?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 2 − 6 × 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 12 − 7 ÷ 19?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 10 − 13 + 5?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 16 ÷ 10 × 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 + 6 × 18?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 18 − 13 ÷ 11?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 × 4 + 16?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 11 + 5 ÷ 16?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 18 × 6 − 11?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 − 7 × 5?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 13 − 20 × 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 17 × 11 − 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 16 − 20 ÷ 17?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 3 × 2 ÷ 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 5 × 19 ÷ 16?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 2 − 16?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 × 15 − 20?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 17 × 17 − 8?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 8 × 6 − 19?

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