Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 869 · 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 + 16 × 12 − 3?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 2 − 18 + 7?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 10 + 5 × 15?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 11 ÷ 16 × 7?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 2 ÷ 5 − 6?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 5 + 14 × 3?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 ÷ 12 + 5?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 + 16 ÷ 6?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 + 17 − 19?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 11 − 6 + 17?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 4 × 19 ÷ 10?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 × 2 ÷ 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 12 ÷ 2 + 8?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 × 16 − 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 19 − 11 × 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 − 18 ÷ 8?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 3 ÷ 6 × 8?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 3 − 15 + 20?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 9 ÷ 17 + 19?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 18 + 6 × 5?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 3 × 12 ÷ 13?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 10 + 10 × 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 18 − 3 + 9?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 ÷ 5 × 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 + 17 ÷ 7?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 17 × 7 ÷ 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 12 − 9 × 18?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 19 × 6 + 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 6 − 3 + 16?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 4 − 4 ÷ 17?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 14 ÷ 4 − 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 11 × 5 ÷ 11?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 15 + 15 × 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 2 − 7 ÷ 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 3 ÷ 18 + 14?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 10 × 2 − 15?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 14 − 2 × 15?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 17 − 15 + 9?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 7 × 15 + 5?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 17 ÷ 3 + 10?

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