Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 819 · 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 + 2 − 2 ÷ 2?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 4 − 2 + 4?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 + 2 ÷ 10?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 2 × 5 + 15?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 + 9 ÷ 5?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 2 + 18 ÷ 16?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 ÷ 9 × 16?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 20 × 6 + 16?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 9 ÷ 10 × 4?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 12 × 19?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 × 2 ÷ 14?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 − 3 ÷ 5?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 11 ÷ 5 + 15?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 + 13 × 19?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 11 × 11 + 4?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 × 13 + 5?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 6 ÷ 18 + 6?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 6 × 9 ÷ 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 + 3 − 5?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 15 × 20 − 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 9 × 10 + 5?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 ÷ 5 − 6?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 2 + 5 − 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 10 + 19 ÷ 17?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 ÷ 16 × 6?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 − 2 ÷ 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 − 5 + 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 − 12 × 11?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 12 − 3 ÷ 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 × 6 − 3?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 10 + 9 ÷ 18?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 20 − 2 + 4?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 16 ÷ 18 × 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 18 ÷ 8 × 16?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 17 ÷ 2 + 4?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 18 ÷ 20 + 18?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 9 + 12 × 6?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 + 5 × 10?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 19 + 19 ÷ 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 ÷ 9 × 18?

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