Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 931 · 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 + 4 × 9 ÷ 6?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 − 13 × 3?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 + 13 × 19?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 5 × 12 ÷ 11?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 12 + 9 × 10?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 − 14 × 7?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 15 − 8 + 17?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 16 + 2 × 9?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 − 7 ÷ 15?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 11 − 6 ÷ 17?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 5 − 2 ÷ 7?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 5 ÷ 20 + 4?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 3 − 4 + 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 6 ÷ 8 + 4?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 ÷ 14 × 11?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 × 8 ÷ 8?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 7 − 7 × 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 × 12 − 6?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 ÷ 2 − 7?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 8 ÷ 8 − 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 4 + 5 − 5?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 2 × 4 + 3?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 8 × 2 ÷ 11?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 16 × 13 − 12?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 2 − 4 + 12?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 8 × 5 + 5?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 11 × 2 ÷ 7?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 5 × 3 ÷ 16?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 ÷ 12 × 9?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 5 − 8 ÷ 12?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 + 5 ÷ 13?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 13 × 8 ÷ 6?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 2 × 8 ÷ 16?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 2 + 18 − 20?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 10 ÷ 18 × 16?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 19 × 14 − 11?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 18 ÷ 8 × 18?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 2 ÷ 7 − 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 9 ÷ 16 × 7?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 20 ÷ 4 + 12?

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