Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 670 · 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 ÷ 6 × 18 − 16?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 8 − 3 ÷ 18?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 2 × 9 ÷ 12?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 9 ÷ 2 × 3?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 11 ÷ 18 + 6?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 18 ÷ 12 × 11?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 ÷ 7 × 14?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 5 ÷ 17 × 16?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 − 5 × 3?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 12 + 3 ÷ 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 5 ÷ 4?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 4 × 18 ÷ 15?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 14 × 17 + 11?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 19 ÷ 2 × 14?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 8 − 14 ÷ 9?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 11 ÷ 15 + 13?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 11 − 11 ÷ 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 20 + 15 ÷ 19?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 5 + 7 ÷ 3?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 12 ÷ 18 × 14?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 9 × 3 + 5?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 9 × 19 ÷ 19?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 7 − 5 × 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 3 − 3 ÷ 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 8 + 5 − 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 × 10 ÷ 6?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 12 + 8 × 5?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 10 × 7 + 13?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 8 − 4 × 4?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 8 − 10 × 5?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 20 − 19 × 3?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 × 8 + 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 ÷ 4 × 14?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 11 ÷ 6 × 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 ÷ 7 × 3?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 19 − 20 + 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 13 − 13 ÷ 14?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 8 − 2 + 8?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 20 − 5 × 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 8 ÷ 12 × 3?

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