Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 965 · 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 16 × 19 + 11 ÷ 17?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 6 − 2 × 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 13 × 7 ÷ 11?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 19 ÷ 15 + 14?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 7 × 7 ÷ 16?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 12 × 10 + 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 14 ÷ 6 − 20?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 6 ÷ 3 − 9?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 ÷ 4 × 10?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 12 × 3 ÷ 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 × 6 ÷ 9?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 9 ÷ 20 + 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 18 + 14 ÷ 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 18 × 3 ÷ 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 16 ÷ 14 × 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 10 ÷ 20 × 4?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 9 + 3 ÷ 16?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 7 ÷ 4 × 11?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 13 − 2 × 10?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 3 ÷ 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 7 − 2 + 7?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 ÷ 14 × 3?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 14 − 19 + 12?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 × 10 ÷ 13?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 3 ÷ 14 − 14?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 18 × 15 − 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 2 + 3 × 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 ÷ 15 + 5?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 11 + 2 × 7?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 + 19 ÷ 10?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 8 − 19 ÷ 17?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 4 − 7 ÷ 14?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 ÷ 11 × 17?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 18 × 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 4 ÷ 5 + 7?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 16 × 4 − 2?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 10 − 13 ÷ 14?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 4 + 17 × 8?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 10 + 5 ÷ 16?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 18 ÷ 12 × 3?

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