Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 75 · 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 13 − 5 + 3 × 3?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 8 ÷ 2 − 16?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 10 × 3 ÷ 15?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 2 − 7 + 7?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 18 × 4 + 12?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 15 ÷ 14 − 18?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 × 19 − 16?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 13 − 13 + 9?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 5 ÷ 4 × 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 9 × 5 ÷ 12?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 19 ÷ 3 + 2?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 + 20 × 18?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 7 × 18 − 2?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 18 + 4 ÷ 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 2 ÷ 7 − 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 + 3 ÷ 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 13 ÷ 5 × 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 12 + 2 × 2?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 7 × 7 + 9?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 19 × 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 17 × 8 + 13?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 2 + 19 − 19?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 ÷ 20 + 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 × 6 + 3?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 × 7 + 4?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 2 × 9 − 20?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 16 ÷ 5 × 15?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 − 6 ÷ 12?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 15 − 7 ÷ 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 11 ÷ 14 × 13?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 × 9 − 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 12 + 8 × 8?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 19 ÷ 7?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 12 + 14?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 2 × 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 8 − 11 + 12?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 14 × 2 + 7?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 15 ÷ 6 × 18?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 11 − 15 + 13?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 2 ÷ 7 × 11?

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