Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 765 · 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 18 × 19 − 2 ÷ 13?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 16 × 20 ÷ 13?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 − 7 ÷ 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 × 19 − 18?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 10 ÷ 16 + 13?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 2 ÷ 20 − 3?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 20 + 13 × 6?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 3 − 3 + 20?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 4 × 12 + 4?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 7 ÷ 15 + 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 15 + 19 ÷ 9?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 17 + 17 ÷ 18?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 16 × 14 ÷ 19?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 − 9 + 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 9 × 9?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 17 − 3 × 2?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 − 9 + 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 17 ÷ 5 + 5?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 10 × 13 − 8?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 13 × 8 ÷ 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 7 × 4 ÷ 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 9 − 9 × 18?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 3 × 11 − 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 10 − 2 × 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 12 × 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 17 × 10 + 11?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 + 18 × 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 6 + 6 × 10?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 14 + 7 ÷ 8?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 × 16 ÷ 15?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 8 × 20 − 5?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 16 + 4 − 8?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 ÷ 4 − 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 4 ÷ 12 + 2?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 2 − 19 + 8?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 − 4 + 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 16 ÷ 4 − 20?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 − 10 × 2?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 4 + 10 ÷ 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 14 + 20 × 10?

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