Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 468 · 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 18 + 13 ÷ 8 × 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 20 × 17 ÷ 17?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 16 × 4 ÷ 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 × 7 − 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 9 − 2 × 9?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 15 − 16 + 8?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 11 × 7 + 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 5 × 13 − 6?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 3 × 4 ÷ 9?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 8 × 7 + 4?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 15 × 2 − 8?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 12 ÷ 5 × 18?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 6 × 4 ÷ 17?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 3 − 14 ÷ 2?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 × 4 ÷ 9?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 4 × 2 − 8?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 3 ÷ 17 + 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 6 ÷ 16?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 12 − 14 + 6?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 − 18 ÷ 5?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 3 − 8 ÷ 13?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 4 − 7 ÷ 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 + 14 × 12?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 − 14 + 13?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 + 16 − 7?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 20 × 6 + 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 + 4 ÷ 18?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 − 3 ÷ 11?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 3 + 18 × 13?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 15 × 16 + 6?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 9 − 12 ÷ 9?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 17 × 14 + 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 2 + 7 × 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 15 × 5 − 20?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 ÷ 3 × 2?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 19 − 8 ÷ 4?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 2 − 2 × 4?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 4 − 16 × 19?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 11 ÷ 3 × 12?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 16 ÷ 13 × 10?

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