Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 100 · 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 + 4 × 8 ÷ 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 6 ÷ 20 × 9?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 8 × 5 ÷ 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 − 4 ÷ 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 2 × 10 ÷ 6?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 20 + 14 − 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 ÷ 7 + 16?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 8 + 2 − 9?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 16 ÷ 20 + 7?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 20 × 10 + 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 6 × 17 + 3?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 4 ÷ 7 × 7?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 15 + 18 ÷ 12?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 15 ÷ 2 × 11?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 5 ÷ 7 × 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 14 − 20 ÷ 16?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 7 × 14 ÷ 20?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 18 ÷ 18 × 2?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 11 × 6 ÷ 20?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 13 + 3 ÷ 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 5 ÷ 6 + 4?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 9 − 17 ÷ 18?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 ÷ 16 − 5?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 19 ÷ 12 − 16?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 × 3 + 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 11 ÷ 5 + 20?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 13 × 6 ÷ 4?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 18 ÷ 12 − 9?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 ÷ 19 − 8?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 8 × 16 − 7?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 11 − 20 × 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 − 5 × 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 − 5 × 6?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 − 3 ÷ 3?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 ÷ 5 × 15?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 15 − 5 × 2?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 2 + 10 × 5?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 6 − 5 × 20?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 8 × 6 − 6?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 9 × 3 ÷ 9?

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