Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 300 · 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 12 − 3 + 16 × 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 6 − 9 + 7?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 10 + 6 − 20?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 4 + 12 × 5?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 19 − 19 × 13?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 + 9 − 9?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 13 − 14 ÷ 9?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 × 13 ÷ 10?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 18 + 4 × 6?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 × 5 ÷ 9?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 15 − 3 × 17?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 14 ÷ 3 − 7?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 9 − 3 × 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 × 19 ÷ 3?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 18 ÷ 10 − 2?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 2 × 11 ÷ 7?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 13 ÷ 19 + 5?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 19 × 9 ÷ 15?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 5 − 14 ÷ 9?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 19 − 17 ÷ 13?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 6 + 8 × 15?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 17 × 4 + 7?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 × 4 ÷ 20?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 13 − 15 ÷ 17?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 19 × 18 ÷ 5?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 9 × 8 ÷ 14?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 6 × 10 ÷ 15?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 2 × 14 − 15?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 7 − 10 ÷ 5?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 19 + 18?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 20 × 20 + 4?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 ÷ 12 × 4?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 ÷ 14 − 11?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 13 + 13 − 19?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 4 × 13 + 13?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 16 − 13 + 14?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 × 10 ÷ 13?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 10 − 9 ÷ 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 × 2 + 10?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 4 − 17 × 7?

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