Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 99 · 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 9 + 17 × 17 ÷ 7?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 8 × 20 + 15?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 3 ÷ 19 × 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 6 + 10 − 20?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 18 + 3 × 14?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 4 − 8 × 4?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 19 − 15 ÷ 8?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 2 ÷ 13 + 18?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 19 ÷ 17 × 13?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 20 − 11 ÷ 4?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 17 − 10 ÷ 4?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 10 + 11 × 6?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 2 + 2 ÷ 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 16 + 5 − 18?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 2 − 7 × 13?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 7 + 12 × 13?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 5 − 10 + 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 ÷ 12 × 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 11 × 8 − 8?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 2 ÷ 11 − 18?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 8 ÷ 19 × 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 12 − 12 ÷ 10?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 18 × 9 + 15?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 14 × 17 ÷ 6?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 13 × 18 ÷ 15?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 + 9 ÷ 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 4 × 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 × 3 ÷ 12?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 8 − 3 ÷ 6?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 4 ÷ 15 + 9?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 3 − 14 ÷ 14?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 × 9 ÷ 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 11 ÷ 9 × 7?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 16 − 14 ÷ 14?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 6 − 5 ÷ 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 14 + 2?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 8 − 5 + 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 7 − 6?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 19 × 3 + 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 8 + 9 − 3?

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