Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 346 · 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 6 − 13 × 3 + 18?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 20 − 7 + 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 16 − 4 ÷ 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 20 × 20 − 4?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 2 − 15 × 20?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 × 6 + 2?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 7 × 5 + 14?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 14 + 20 ÷ 10?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 3 × 10 ÷ 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 6 ÷ 13 × 13?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 8 − 2 + 17?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 6 × 6 ÷ 13?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 7 − 19 + 3?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 + 18 ÷ 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 ÷ 4 − 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 4 + 18 ÷ 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 ÷ 8 − 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 4 ÷ 18 − 19?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 11 − 6 ÷ 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 3 + 6 − 12?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 2 − 15 × 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 + 10 × 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 19 ÷ 19 × 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 17 ÷ 2 × 9?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 5 ÷ 6 − 3?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 2 − 10 ÷ 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 8 + 14 − 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 × 7 + 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 6 × 6 + 14?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 6 − 10 + 12?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 13 × 14 − 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 − 13 + 13?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 16 − 12 ÷ 17?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 8 ÷ 5 + 14?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 × 14 + 8?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 3 ÷ 16?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 4 ÷ 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 6 ÷ 14 × 16?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 2 − 3 × 20?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 2 + 7 × 7?

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