Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 915 · 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 ÷ 11 − 7 + 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 16 × 9 ÷ 14?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 13 × 3 + 10?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 + 15 × 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 6 × 9 + 8?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 ÷ 13 − 7?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 13 + 11 × 20?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 15 − 16 + 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 6 − 6 + 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 8 ÷ 10 × 10?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 × 16 ÷ 2?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 16 ÷ 15 − 12?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 4 ÷ 19 + 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 14 − 16 + 15?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 14 + 7 ÷ 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 12 − 19 × 12?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 9 + 14 × 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 5 ÷ 2 − 9?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 − 2 ÷ 20?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 14 − 14 × 2?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 2 ÷ 2 + 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 17 ÷ 19 − 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 14 − 18 + 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 11 + 11 × 6?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 8 × 16 + 16?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 17 ÷ 9 × 9?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 9 + 7 ÷ 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 ÷ 12 + 12?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 − 11 × 10?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 × 5 − 12 + 6?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 10 ÷ 6 + 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 7 − 16 ÷ 9?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 11 − 5 × 11?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 16 ÷ 15 × 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 × 5 ÷ 6?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 20 ÷ 2 + 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 + 8 ÷ 16?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 6 + 3 × 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 15 + 3 ÷ 18?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 20 − 15 × 6?

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