Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 981 · 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 12 + 3 − 5 ÷ 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 ÷ 5 + 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 × 4 − 14?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 14 + 2 ÷ 15?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 16 − 5 × 13?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 3 − 6 ÷ 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 20 × 2 − 6?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 × 6 ÷ 20?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 4 ÷ 11 × 7?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 3 × 17 ÷ 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 12 ÷ 20?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 5 + 15 × 5?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 5 − 10 ÷ 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 3 ÷ 6 + 15?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 − 2 ÷ 15?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 − 14 ÷ 5?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 20 × 18 + 13?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 20 ÷ 20 + 16?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 9 + 6?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 20 − 4 ÷ 7?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 + 12 ÷ 20?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 15 × 11 − 18?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 18 × 3 + 2?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 19 − 15 ÷ 10?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 11 × 17 + 19?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 11 ÷ 6 + 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 8 × 5 ÷ 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 15 × 19 + 20?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 20 ÷ 15 + 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 6 ÷ 2 − 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 13 × 2 ÷ 11?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 × 12 ÷ 4?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 17 ÷ 18 − 2?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 15 ÷ 12 × 18?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 + 8 × 15?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 15 − 3 ÷ 8?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 + 17 ÷ 19?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 4 × 5 ÷ 18?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 15 ÷ 7 × 20?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 15 ÷ 14 × 8?

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