Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 270 · 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 8 − 2 ÷ 15 + 3?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 6 × 20 + 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 3 − 6 × 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 9 × 19 ÷ 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 11 ÷ 4 + 5?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 9 × 15 ÷ 19?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 14 − 2 + 19?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 10 + 6 × 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 × 11 ÷ 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 5 ÷ 13 − 19?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 5 ÷ 17 − 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 − 9 + 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 + 3 − 6?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 11 − 7 + 7?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 9 ÷ 20 × 5?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 19 × 3 + 5?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 15 − 2 × 9?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 + 2 ÷ 18?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 ÷ 16 × 8?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 3 × 16 ÷ 17?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 16 × 5 + 11?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 11 + 4 ÷ 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 11 + 7 × 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 14 ÷ 15 × 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 − 20 ÷ 17?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 15 × 6 − 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 4 ÷ 19 + 15?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 12 + 16 × 8?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 15 ÷ 20 + 18?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 13 ÷ 4 × 18?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 2 × 12 − 12?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 5 − 18 × 8?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 3 ÷ 8 − 9?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 18 ÷ 7 − 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 15 − 3 ÷ 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 × 11 ÷ 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 10 ÷ 3 + 2?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 ÷ 11 × 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 − 4 ÷ 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 2 × 2 − 2?

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