Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 879 · 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 + 2 ÷ 4 − 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 − 17 × 7?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 ÷ 3 × 5?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 2 × 20 ÷ 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 7 ÷ 10 + 12?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 − 8 ÷ 19?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 − 9 × 17?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 18 + 9 × 11?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 × 7 ÷ 8?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 3 ÷ 4 × 18?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 ÷ 10 × 8?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 × 2 ÷ 9?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 4 − 4 × 18?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 × 12 ÷ 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 12 − 13 ÷ 8?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 ÷ 16 − 16?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 ÷ 2 + 5?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 2 + 3 ÷ 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 16 − 14 × 6?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 + 14 ÷ 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 3 ÷ 20 − 6?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 6 ÷ 17?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 17 × 5 − 11?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 − 12 ÷ 17?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 + 4 − 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 14 × 17 + 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 17 − 4 ÷ 9?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 2 + 4 ÷ 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 14 ÷ 3 + 2?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 17 + 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 20 ÷ 4 × 5?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 ÷ 6 − 2?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 10 × 14 + 16?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 14 ÷ 10 − 15?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 ÷ 7 − 14?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 15 + 5 − 8?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 + 5 − 15?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 8 ÷ 13 + 5?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 12 − 5 + 2?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 + 20 × 2?

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