Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 864 · 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 × 9?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 5 ÷ 16 × 4?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 ÷ 17 × 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 15 ÷ 6 + 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 20 ÷ 20 − 9?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 15 + 9 × 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 − 10 + 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 9 ÷ 9 − 16?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 7 × 2 ÷ 6?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 14 ÷ 3 − 20?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 8 × 13 ÷ 17?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 × 11 ÷ 5?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 20 × 14 + 10?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 − 15 + 7?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 + 3 × 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 16 − 7 + 14?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 13 × 6 − 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 10 ÷ 6 + 14?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 11 ÷ 18 × 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 17 × 17 ÷ 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 14 × 5 ÷ 18?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 5 ÷ 7 − 18?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 × 20 − 10?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 − 3 × 7?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 15 × 20 − 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 20 − 6 ÷ 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 ÷ 5 + 19?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 5 + 2 × 16?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 12 + 20?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 7 ÷ 3 − 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 × 2 ÷ 18?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 18 + 2 × 18?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 16 × 11 ÷ 20?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 7 ÷ 10 − 16?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 7 + 2 ÷ 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 20 − 7 + 3?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 5 + 19 × 19?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 20 ÷ 14 × 7?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 ÷ 12 × 9?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 18 + 8 − 16?

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