Symbol Substitution Worksheet

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

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