Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 223 · 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 17 × 13 ÷ 10 + 20?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 × 14 ÷ 8?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 15 ÷ 8 − 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 11 + 14?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 17 − 12 ÷ 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 7 ÷ 12 − 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 9 ÷ 11 − 14?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 2 − 6 × 7?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 7 − 12 ÷ 10?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 3 ÷ 19 × 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 11 − 17 ÷ 11?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 13 − 6 ÷ 9?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 11 + 8 − 11?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 × 9 ÷ 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 10 − 7?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 6 ÷ 2 × 5?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 8 × 13 + 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 4 + 4 ÷ 7?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 − 8 × 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 10 + 16 × 10?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 + 8 × 11?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 14 + 14 ÷ 14?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 ÷ 7 − 2?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 7 × 6 + 8?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 7 ÷ 16 + 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 15 + 15 ÷ 2?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 5 − 3 ÷ 18?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 × 4 ÷ 10?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 2 − 12 + 2?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 20 × 6 + 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 − 11 ÷ 5?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 9 + 20 × 4?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 8 × 3 ÷ 15?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 20 + 2 × 10?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 6 + 9 − 9?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 − 2 ÷ 4?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 15 ÷ 9 × 15?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 − 6 + 12?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 6 ÷ 12 + 14?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 + 4 ÷ 11?

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