Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 354 · 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 20 × 3 ÷ 2 + 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 15 − 19 ÷ 3?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 3 × 14 + 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 ÷ 4 × 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 × 5 ÷ 16?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 3 − 12 ÷ 10?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 7 + 5 − 5?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 3 − 4 + 17?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 16 + 6 × 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 8 × 4 ÷ 16?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 14 − 4 + 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 4 × 9 ÷ 17?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 18 ÷ 16 − 2?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 4 − 2 × 12?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 3 − 6 × 3?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 13 × 7 + 12?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 15 ÷ 14 + 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 × 18 + 6?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 12 − 20 ÷ 16?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 6 × 5 + 18?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 8 × 18 − 3?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 4 + 20 × 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 8 + 3 − 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 14 + 10 ÷ 17?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 × 8 ÷ 16?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 7 + 8 − 9?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 13 × 7 + 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 16 ÷ 6 × 18?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 15 + 8 − 6?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 5 × 13 + 4?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 14 + 10 × 10?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 − 20 + 8?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 11 + 20 × 2?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 12 − 12 + 19?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 12 ÷ 7 − 15?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 18 ÷ 9 × 4?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 9 × 3 + 17?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 − 12 + 15?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 ÷ 16 + 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 18 − 20?

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