Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 122 · 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 8 − 5 ÷ 7 + 19?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 14 ÷ 3 + 5?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 2 + 18 × 9?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 15 − 8 + 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 11 ÷ 19 × 2?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 4 + 12 × 12?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 4 ÷ 12 × 14?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 13 − 20 ÷ 20?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 16 ÷ 20 + 2?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 20 − 5 × 19?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 14 − 14 ÷ 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 12 − 2 ÷ 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 19 + 15 − 5?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 − 6 ÷ 8?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 ÷ 16 + 11?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 11 + 12 ÷ 2?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 5 × 6 ÷ 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 17 ÷ 7 × 16?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 8 ÷ 14 × 7?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 16 ÷ 17 − 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 13 ÷ 15 − 18?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 8 − 4 ÷ 4?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 9 × 6 ÷ 19?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 15 − 19 + 19?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 − 3 ÷ 3 × 16?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 ÷ 16 × 15?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 14 × 5 ÷ 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 11 + 7 ÷ 14?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 3 × 9 − 16?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 8 × 2 + 17?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 − 11 ÷ 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 + 2 ÷ 7?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 − 5 × 11?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 11 ÷ 12 × 12?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 5 − 7 ÷ 3?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 12 − 3 ÷ 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 − 6 ÷ 15?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 18 ÷ 12 × 19?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 12 + 12 − 2?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 8 ÷ 12 × 4?

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