Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 444 · 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 + 20 × 4 − 7?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 12 ÷ 2 + 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 18 ÷ 10 − 18?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 16 − 3 + 8?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 9 − 16 + 8?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 5 × 3 + 15?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 ÷ 19 − 9?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 13 ÷ 12 − 3?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 × 3 − 20?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 14 ÷ 12 − 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 − 4 × 6?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 3 ÷ 9 − 14?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 × 13 − 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 − 2 ÷ 10?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 7 + 10 × 5?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 12 − 5 × 10?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 4 − 5 ÷ 12?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 19 + 9 ÷ 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 2 − 12 × 14?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 ÷ 7 × 16?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 6 ÷ 3 + 6?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 20 − 2 + 4?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 16 ÷ 9 + 19?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 14 ÷ 15 + 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 16 + 19 ÷ 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 9 − 11 + 4?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 4 ÷ 16 × 18?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 18 × 7 ÷ 5?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 4 × 17 ÷ 8?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 ÷ 5 × 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 2 ÷ 13 × 14?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 5 ÷ 20 + 17?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 × 5 + 17?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 5 + 7 × 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 10 + 12 − 15?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 19 × 6 ÷ 5?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 4 − 7 + 8?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 − 5 × 11?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 15 ÷ 15 + 2?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 18 − 3 × 4?

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