Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 880 · 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 13 × 4 + 11 ÷ 7?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 13 × 19 − 3?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 2 ÷ 19 + 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 11 + 18 × 14?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 ÷ 20 + 12?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 5 − 7 ÷ 2?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 8 × 20 ÷ 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 12 − 18 × 9?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 18 × 3 + 2?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 11 + 17 ÷ 9?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 15 × 14 + 17?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 5 + 3 − 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 18 ÷ 17 × 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 14 ÷ 16 × 16?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 4 ÷ 3 − 5?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 13 − 2 × 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 6 − 6 × 7?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 18 × 16 + 19?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 ÷ 20 × 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 + 20 × 4?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 11 + 6?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 − 20 × 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 17 − 4 + 14?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 18 ÷ 20 − 6?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 19 × 7 ÷ 5?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 17 ÷ 10 × 3?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 ÷ 11 × 10?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 15 + 2 ÷ 13?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 5 × 20 − 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 2 × 8 − 2?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 16 + 15 − 8?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 6 ÷ 16 + 15?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 9 − 3 + 13?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 ÷ 7 × 9?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 13 × 20 + 20?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 20 ÷ 14 + 14?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 11 − 11 + 5?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 2 ÷ 4 × 6?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 ÷ 3 × 13?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 + 4 − 6?

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