Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 109 · 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 5 + 7 ÷ 14 × 9?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 ÷ 14 − 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 ÷ 2 × 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 17 ÷ 2 + 14?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 2 ÷ 3 − 2?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 17 × 4 + 16?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 13 × 9 − 9?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 + 7 × 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 15 × 17 ÷ 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 8 ÷ 7 + 10?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 9 − 10 × 9?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 × 6 + 9?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 4 − 3 × 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 2 − 6 × 9?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 11 ÷ 6 × 11?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 − 5 ÷ 13?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 ÷ 18 − 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 18 ÷ 5 − 12?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 8 − 16 ÷ 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 ÷ 18 − 9?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 18 − 15 × 12?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 15 − 17 ÷ 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 2 × 20 ÷ 10?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 9 + 15 − 4?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 6 − 18 ÷ 18?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 11 ÷ 5 + 5?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 3 ÷ 14 − 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 4 + 16 × 20?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 13 + 19 ÷ 12?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 15 + 2 ÷ 9?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 2 − 18 × 3?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 + 4 ÷ 8?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 19 ÷ 5 − 12?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 6 × 3 − 16?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 12 + 6 ÷ 3?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 6 × 20 − 5?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 6 × 15 + 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 9 + 17?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 9 × 18 + 3?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 16 ÷ 20 + 14?

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