Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 335 · 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 6 + 16 − 11 ÷ 4?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 13 × 4 ÷ 10?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 10 + 2 − 20?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 6 × 12 − 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 20 − 14?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 13 ÷ 12 + 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 13 ÷ 7 − 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 − 9 ÷ 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 9 × 17 ÷ 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 20 × 4 ÷ 20?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 12 + 4?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 2 + 4 − 11?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 9 − 3 ÷ 15?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 6 ÷ 20 × 15?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 ÷ 10 × 8?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 5 × 14 ÷ 3?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 4 − 2 × 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 × 9 − 7?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 4 ÷ 14 − 7?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 15 × 3 + 6?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 − 6 + 5?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 19 ÷ 6 − 6?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 11 × 13 + 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 2 ÷ 5 + 20?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 18 ÷ 16 + 7?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 15 × 20 − 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 5 ÷ 9 − 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 2 − 5 ÷ 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 11 × 2 ÷ 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 19 ÷ 12 + 3?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 7 × 17 − 3?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 6 − 9 ÷ 6?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 19 ÷ 14 − 14?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 6 + 14 ÷ 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 ÷ 20 × 9?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 17 ÷ 17 − 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 18 − 2 + 5?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 4 + 5 × 16?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 9 ÷ 15 + 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 ÷ 12 × 5?

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