Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 567 · 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 4 ÷ 5 × 2 + 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 8 + 20 ÷ 18?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 5 × 5 + 15?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 + 7 ÷ 17?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 15 + 3 × 3?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 × 6 + 7?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 11 × 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 × 11 ÷ 19 + 18?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 × 3 ÷ 18?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 4 ÷ 18 + 19?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 12 + 10 × 2?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 6 × 17 ÷ 14?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 12 − 6 + 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 16 ÷ 14?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 4 ÷ 5 + 4?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 8 ÷ 14 + 14?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 ÷ 10 + 7?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 16 − 18 ÷ 6?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 19 ÷ 7 × 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 8 − 6 + 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 5 + 11 ÷ 4?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 19 + 11 × 8?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 15 × 20 − 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 13 × 4 + 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 − 11 ÷ 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 3 − 8 × 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 4 × 9 + 16?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 + 12 ÷ 13?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 10 ÷ 3 − 14?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 ÷ 15 × 3?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 − 12 ÷ 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 5 × 4 + 11?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 4 − 2 ÷ 5?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 6 × 3 ÷ 4?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 × 6 ÷ 16?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 9 ÷ 16 × 19?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 + 15 × 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 17 × 9 + 8?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 19 ÷ 3 + 14?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 14 ÷ 18 × 6?

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