Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 65 · 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 7 + 18 ÷ 8 − 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 12 + 2 − 6?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 − 20 × 4?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 6 ÷ 18 + 9?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 16 × 7 ÷ 5?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 5 + 20 ÷ 15?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 11 + 6 × 9?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 − 12 + 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 3 − 4 + 4?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 3 × 18 ÷ 5?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 − 14 ÷ 6?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 6 × 7 − 5?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 20 − 12 × 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 + 9 × 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 15 × 14 ÷ 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 4 − 17 ÷ 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 5 × 18 + 18?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 15 × 10 ÷ 12?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 19 × 6 + 6?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 12 + 11 − 19?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 7 − 2 × 2?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 6 + 9 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 14 − 2 ÷ 13?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 10 − 13 + 5?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 16 + 19 × 11?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 14 − 16 ÷ 15?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 13 − 2 ÷ 16?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 3 ÷ 14 × 7?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 + 13 − 2?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 12 ÷ 19 × 13?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 × 18 + 11?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 ÷ 20 − 3?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 − 10 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 15 ÷ 4 × 15?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 10 ÷ 12 − 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 19 ÷ 20 + 8?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 13 ÷ 6 + 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 17 ÷ 14 × 10?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 7 × 9 + 7?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 10 ÷ 7 × 2?

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