Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 174 · 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 18 + 4 ÷ 2 × 7?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 8 − 3 ÷ 20?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 4 ÷ 14 + 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 ÷ 4 × 14?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 11 × 5 ÷ 5?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 3 − 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 6 × 2 ÷ 12?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 15 − 17 × 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 12 × 17?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 9 ÷ 2 + 14?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 16 − 9?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 ÷ 12 × 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 7 + 7 × 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 8 + 5 × 5?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 × 4 ÷ 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 3 + 10 − 16?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 ÷ 9 − 11?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 6 ÷ 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 14 × 17 + 7?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 8 − 18 × 6?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 18 ÷ 12 × 6?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 + 6 × 4?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 2 − 16 + 4?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 + 3 ÷ 20?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 6 ÷ 18 + 18?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 17 + 7?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 4 ÷ 5 × 11?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 + 19 × 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 × 4 − 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 2 ÷ 8 × 2?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 8 − 13 + 20?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 9 ÷ 12 + 14?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 16 ÷ 16 + 3?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 18 ÷ 2 × 19?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 5 − 3 × 20?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 10 + 20 − 12?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 5 × 4 ÷ 14?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 2 ÷ 2 − 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 + 7 ÷ 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 × 14 + 7?

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