Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 613 · 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 15 ÷ 4 + 20 − 18?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 20 + 6 × 11?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 2 − 11 × 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 20 − 20 + 9?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 9 − 19 ÷ 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 20 + 6 ÷ 20?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 17 − 3 ÷ 9?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 10 − 10 × 12?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 + 3 − 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 8 − 16 ÷ 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 2 × 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 ÷ 16 − 13?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 7 ÷ 8 + 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 19 − 5 + 12?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 3 ÷ 9 − 3?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 × 7 ÷ 16?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 6 + 15 − 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 8 × 12 + 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 20 + 4 − 7?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 8 + 6 ÷ 15?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 − 6 + 14?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 ÷ 12 + 3?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 10 × 5 − 20?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 2 ÷ 3 × 20?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 3 ÷ 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 6 × 11 ÷ 3?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 − 7 + 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 + 9 ÷ 6?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 11 × 18 ÷ 17?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 × 16 + 2?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 17 × 3 + 3?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 + 20 ÷ 17?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 6 − 3 × 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 17 − 20 + 16?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 6 + 15 ÷ 15?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 17 + 7?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 13 − 12 × 16?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 11 × 11 − 11?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 17 − 11 + 15?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 − 20 ÷ 16?

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