Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 408 · 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 16 × 15 ÷ 13 + 5?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 10 ÷ 14 × 12?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 16 − 8 ÷ 12?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 15 ÷ 17?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 20 ÷ 6 − 20?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 7 ÷ 15 + 10?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 − 12 + 4?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 3 × 14 ÷ 18?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 × 10 − 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 16 × 7?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 2 − 2 + 12?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 12 + 20 − 20?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 11 − 4 + 9?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 − 5 ÷ 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 4 − 18 ÷ 19?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 17 ÷ 18 × 20?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 17 ÷ 8 − 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 9 + 3 ÷ 5?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 4 × 5 − 17?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 3 ÷ 2 + 10?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 5 ÷ 4 − 17?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 2 × 9 + 20?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 20 − 9 + 14?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 16 − 16 × 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 + 7 × 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 − 7 + 16?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 7 − 2 × 6?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 5 × 8 − 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 4 − 16 ÷ 8?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 4 × 6 − 14?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 18 × 9 + 17?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 15 ÷ 12 + 17?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 − 3 × 5?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 ÷ 19 − 6?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 7 ÷ 10 − 11?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 20 × 20 ÷ 12?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 × 8 − 16?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 5 − 10 × 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 × 19 + 11?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 10 ÷ 6 + 2?

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