Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 583 · 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 × 18 ÷ 16?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 11 ÷ 2 + 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 19 ÷ 19 × 7?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 16 + 17 − 17?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 14 ÷ 8 + 8?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 9 × 6 + 6?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 9 − 11 ÷ 20?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 6 ÷ 14 × 13?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 5 − 8 × 8?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 7 × 6 ÷ 12?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 13 ÷ 13 × 20?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 12 + 3 × 7?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 6 ÷ 10 + 15?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 14 × 4 ÷ 14?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 9 ÷ 11 − 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 15 ÷ 6 + 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 18 ÷ 15 × 14?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 + 17 ÷ 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 19 + 14 ÷ 11?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 7 − 19 + 8?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 − 3 × 8?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 10 − 2 ÷ 14?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 3 ÷ 6 + 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 + 6 ÷ 8?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 18 + 18 − 9?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 3 × 6 ÷ 5?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 18 ÷ 20 − 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 × 11 ÷ 9?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 5 − 4 + 15?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 18 ÷ 17 + 3?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 8 + 10 ÷ 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 − 2 × 7?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 5 − 10 + 3?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 3 + 12 ÷ 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 4 − 3 × 15?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 − 8 × 2?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 18 − 16 ÷ 11?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 13 × 4 − 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 6 − 18 ÷ 19?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 4 + 4 × 8?

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