Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 661 · 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 5 − 3 ÷ 5 + 4?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 − 7 × 8?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 2 × 2 + 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 ÷ 7 × 8?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 20 × 19 ÷ 19?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 15 × 11?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 20 + 3 × 11?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 4 − 13 + 4?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 10 ÷ 19 + 8?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 19 ÷ 2 − 20?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 20 + 15 ÷ 5?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 ÷ 19 + 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 18 + 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 2 − 8 ÷ 3?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 16 × 13 + 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 6 − 10 × 16?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 18 + 9 ÷ 11?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 ÷ 16 − 8?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 3 − 5 ÷ 3?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 + 16 ÷ 20?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 14 + 5 × 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 9 × 16 − 18?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 + 4 × 2?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 17 ÷ 9 × 9?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 ÷ 11 × 20?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 12 + 10 ÷ 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 12 ÷ 8 − 18?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 13 × 15 − 9?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 19 × 7 + 2?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 14 ÷ 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 11 ÷ 18 − 11?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 × 6 + 2?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 16 + 13?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 2 − 11 + 4?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 + 11 ÷ 2 − 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 6 ÷ 13 × 15?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 11 × 15 + 11?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 × 12 ÷ 4?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 18 × 8 + 9?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 13 ÷ 2 × 2?

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