Symbol Substitution Worksheet

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

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