Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 259 · 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 3 + 4 × 16 − 16?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 − 3 × 12?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 12 ÷ 3 + 19?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 10 ÷ 5 − 17?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 16 + 8 ÷ 19?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 2 ÷ 12 + 4?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 17 + 12 × 11?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 14 ÷ 9 × 20?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 19 × 5 + 5?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 8 × 3 ÷ 3?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 − 17 ÷ 10?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 7 − 5 + 9?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 12 + 6 × 5?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 11 − 14 × 16?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 − 3 × 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 + 4 ÷ 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 3 ÷ 11 + 13?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 4 + 20 ÷ 7?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 ÷ 10 × 18?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 + 6 × 2?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 20 − 15 ÷ 10?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 × 5 − 17?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 + 15 ÷ 16?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 ÷ 3 + 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 17 − 3 ÷ 20?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 8 ÷ 7?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 19 + 14 ÷ 15?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 20 + 16 ÷ 7?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 + 5 − 9?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 + 4 ÷ 18?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 ÷ 10 × 16?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 20 + 2 × 14?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 10 − 6 + 10?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 5 − 15 + 13?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 − 5 + 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 4 − 2 + 15?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 9 − 16 + 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 20 − 7 × 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 2 − 4 + 8?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 11 + 6 ÷ 15?

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