Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 971 · 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 16 ÷ 13 + 3 − 6?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 14 × 3 + 6?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 9 ÷ 13 + 5?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 15 ÷ 3 × 2?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 15 + 5 ÷ 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 ÷ 18 × 9?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 5 × 5 ÷ 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 13 × 5 ÷ 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 11 − 10 × 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 7 ÷ 10 × 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 ÷ 19 − 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 2 ÷ 6 − 3?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 2 ÷ 10 + 10?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 19 − 10 + 5?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 17 × 16 ÷ 5?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 20 × 4 ÷ 5?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 × 20 ÷ 4?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 18 − 8 + 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 18 + 4 × 4?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 2 + 18 × 18?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 + 6 − 11?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 6 × 3 − 7?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 17 ÷ 4 + 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 × 11 ÷ 17 − 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 5 − 11 + 12?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 8 − 15 ÷ 9?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 6 + 6 × 16?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 + 3 × 14?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 × 12 ÷ 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 3 × 7 + 4?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 20 ÷ 6 − 4?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 − 11 ÷ 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 − 6 ÷ 15?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 2 − 7 + 3?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 × 7 ÷ 17?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 4 − 11 ÷ 20?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 10 ÷ 20 + 12?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 6 + 3 × 20?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 2 + 11 ÷ 10?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 16 ÷ 3 × 2?

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