Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 88 · 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 8 ÷ 12 × 8 + 10?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 3 − 14 ÷ 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 8 ÷ 20 × 12?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 16 ÷ 16 × 7?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 14 − 18 × 6?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 − 2 + 3?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 ÷ 3 − 3?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 ÷ 18 × 11?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 18 ÷ 13 + 13?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 10 + 16 − 16?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 16 − 20 ÷ 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 8 × 14 ÷ 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 11 + 9 ÷ 18?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 × 6 ÷ 12?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 2 − 9 ÷ 11?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 4 × 13 − 6?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 ÷ 3 + 2?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 − 7 × 11?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 10 − 6 + 5?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 11 × 11 + 11?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 × 12 − 6?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 2 × 10 ÷ 7?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 14 + 14 × 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 13 × 6 ÷ 3?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 5 − 17 ÷ 12?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 × 3 + 10?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 3 ÷ 20 − 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 19 ÷ 13 × 15?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 4 + 7?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 10 − 2 ÷ 14?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 5 ÷ 19 + 16?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 ÷ 5 × 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 11 − 15 × 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 11 − 10 ÷ 4?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 − 13 × 10?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 13 + 16 − 10?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 × 7 ÷ 20?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 16 − 19 × 10?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 18 ÷ 2 × 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 15 ÷ 4?

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