Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 278 · 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 − 3 + 8 × 11?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 12 − 19 + 16?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 × 17 ÷ 9?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 + 3 × 5?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 11 × 11 ÷ 9?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 ÷ 3 + 13?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 × 5 ÷ 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 + 11 ÷ 19?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 9 + 7 × 10?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 17 ÷ 4 − 11?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 11 + 16 × 8?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 − 16 ÷ 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 14 ÷ 14 × 11?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 2 × 2 + 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 10 × 9 − 3?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 2 ÷ 18 − 19?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 × 10 ÷ 4?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 + 20 × 4?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 ÷ 18 + 3?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 5 ÷ 13 + 19?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 11 ÷ 15 + 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 12 + 18 ÷ 3?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 13 + 20 × 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 18 ÷ 20 + 20?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 − 7 + 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 12 − 2 × 3?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 9 ÷ 7 + 3?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 − 14 + 15?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 9 + 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 11 + 20 ÷ 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 19 ÷ 7 − 7?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 16 + 14 ÷ 3?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 × 4 − 19?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 4 + 4 × 16?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 16 + 3 ÷ 6?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 8 × 8?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 12 ÷ 16 − 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 2 ÷ 5?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 6 ÷ 16 + 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 16 × 5 + 14?

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