Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 804 · 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 14 × 19 − 2 ÷ 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 + 19 × 11?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 7 × 15 ÷ 14?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 17 ÷ 7 − 20?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 ÷ 7 + 20?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 8 − 6 ÷ 3?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 17 × 4 − 12?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 5 + 8 ÷ 6?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 8 + 16 × 16?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 11 − 3 ÷ 17?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 3 × 4 ÷ 8?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 4 × 19 + 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 − 3 × 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 ÷ 5 × 4?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 2 − 13 ÷ 19?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 9 ÷ 4 × 3?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 × 6 ÷ 9?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 17 ÷ 11 − 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 4 ÷ 8 − 10?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 6 × 7 ÷ 9?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 11 × 19 ÷ 11?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 4 ÷ 10 × 2?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 15 × 18 + 7?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 − 12 + 7?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 + 15 − 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 18 ÷ 4 × 15?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 10 ÷ 17 × 9?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 11 − 12 + 4?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 4 + 6 − 12?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 − 2 × 7?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 2 − 17 ÷ 6?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 13 ÷ 17 − 5?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 + 18 × 15?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 5 × 2 + 18?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 × 12 ÷ 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 × 18 ÷ 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 16 × 8 ÷ 6?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 19 − 10 ÷ 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 − 3 × 8?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 20 × 8 − 16?

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