Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 233 · 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 4 + 6 × 15 ÷ 18?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 11 − 18 × 18?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 ÷ 7 × 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 13 − 17 ÷ 12?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 20 + 4 ÷ 13?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 × 12 ÷ 8?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 5 × 6 + 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 9 − 13 ÷ 10?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 6 + 3 × 17?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 7 × 12 + 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 18 + 16 ÷ 16?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 18 − 2 + 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 10 − 16 + 14?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 10 − 11 ÷ 17?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 3 − 19 ÷ 16?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 ÷ 19 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 7 × 20 − 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 15 − 3 + 9?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 14 ÷ 5 + 11?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 12 × 12 + 17?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 ÷ 18 × 12?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 7 + 9 × 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 19 × 12 − 4?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 3 × 15 + 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 9 ÷ 10 + 5?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 − 2 × 9?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 5 ÷ 19 × 15?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 + 2 ÷ 14?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 10 + 4 × 17?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 ÷ 13 − 5?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 5 ÷ 16 × 12?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 ÷ 13 + 3?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 18 + 6 − 6?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 15 − 12 + 2?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 2 × 7 − 14?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 × 9 ÷ 12?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 5 + 3 × 11?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 4 − 12 + 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 5 × 11 ÷ 18?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 6 − 8 + 16?

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