Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 170 · 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 × 7 ÷ 2 − 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 5 ÷ 7 + 8?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 12 ÷ 10 × 14?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 10 + 12 × 7?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 3 − 2 × 8?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 11 − 11 + 17?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 16 + 3 × 3?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 2 ÷ 4 × 6?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 16 ÷ 10 − 18?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 6 + 2 ÷ 3?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 ÷ 9 − 19?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 12 ÷ 12 − 6?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 13 ÷ 10 × 10?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 ÷ 20 − 3?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 19 × 12 ÷ 4?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 12 × 2 + 4?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 − 10 ÷ 10?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 18 − 15 + 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 ÷ 8 − 13?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 10 ÷ 16 + 12?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 19 × 20 ÷ 15?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 × 13 ÷ 8?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 ÷ 19 + 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 ÷ 5 − 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 19 + 9 ÷ 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 − 14 ÷ 16?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 20 + 4 ÷ 11?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 10 ÷ 14?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 10 − 5 × 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 ÷ 3 × 14?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 ÷ 19 × 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 7 ÷ 8 − 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 8 + 4 − 19?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 18 ÷ 6 − 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 − 17 × 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 + 17 ÷ 3?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 − 8 ÷ 15?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 12 + 20 − 5?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 ÷ 8 + 4?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 12 ÷ 4 + 2?

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