Symbol Substitution Worksheet

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

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