Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 164 · 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 15 − 5 ÷ 5 + 19?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 13 + 16 × 8?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 12 ÷ 17 − 17?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 5 ÷ 17 × 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 16 × 5 + 8?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 10 + 16?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 − 7 × 10?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 6 − 13 + 2?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 4 + 4?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 × 8 ÷ 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 9 ÷ 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 3 × 15 ÷ 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 18 × 8 ÷ 10?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 15 ÷ 11 − 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 + 14 × 14?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 − 17 ÷ 18?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 10 + 2 ÷ 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 16 ÷ 14 + 13?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 7 ÷ 2 − 2?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 13 × 19 ÷ 19?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 18 ÷ 5 + 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 3 ÷ 18 − 12?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 3 ÷ 13 − 8?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 − 3 ÷ 3?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 2 ÷ 18 × 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 × 5 + 2?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 − 16 × 11?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 12 + 4 × 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 14 + 14 − 14?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 11 − 10 × 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 18 − 3 × 13?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 6 − 14 ÷ 11?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 3 + 5 − 9?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 − 8 + 12?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 2 × 6 − 20?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 16 ÷ 9 + 15?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 2 − 15 × 17?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 10 ÷ 9 − 9?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 18 ÷ 9 × 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 14 × 20 + 5?

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