Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 101 · 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 6 ÷ 2 + 12 − 16?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 18 − 20 + 11?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 × 2 ÷ 12?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 9 + 3 × 11?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 ÷ 13 + 9?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 13 ÷ 16 + 15?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 18 ÷ 11 × 8?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 16 + 5 − 12?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 12 ÷ 15 + 19?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 13 ÷ 16 × 20?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 8 ÷ 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 × 15 ÷ 17?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 × 16 + 8?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 11 − 8 + 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 20 + 2 × 15?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 ÷ 19 × 2?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 × 4 − 17?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 15 + 3 ÷ 8?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 10 − 17 ÷ 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 19 − 12 ÷ 18?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 11 − 3 × 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 14 + 2 − 13?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 6 + 6 − 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 3 − 12 × 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 10 + 5 ÷ 3?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 + 2 × 13?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 15 + 2 ÷ 7?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 2 − 5 ÷ 7?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 9 + 3 ÷ 17?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 20 ÷ 9 − 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 4 ÷ 12 × 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 15 + 14?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 2 − 16 ÷ 16?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 2 × 16 ÷ 16?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 19 − 18 × 9?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 14 ÷ 3 + 14?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 9 ÷ 10 − 10?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 2 ÷ 8 × 17?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 − 3 × 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 6 − 8?

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