Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 493 · 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 10 ÷ 16 × 16 − 7?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 4 ÷ 14 × 20?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 19 × 8 ÷ 18?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 + 2 × 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 3 − 12 × 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 7 + 7 ÷ 7?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 16 + 6 ÷ 10?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 × 2 ÷ 7?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 18 ÷ 12 − 3?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 ÷ 20 + 19?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 11 ÷ 5 + 6?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 14 + 15 ÷ 15?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 5 + 5 × 17?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 19 − 19 × 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 × 9 + 9?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 14 ÷ 9 × 11?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 16 ÷ 5 × 16?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 12 × 8 + 18?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 ÷ 2 × 13?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 14 + 14 − 14?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 − 2 ÷ 2?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 + 3 − 2?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 17 − 14 + 9?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 14 × 5 + 10?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 9 × 9 − 7?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 3 + 12 − 4?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 2 + 5 ÷ 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 11 × 14 − 14?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 17 × 2 ÷ 7?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 16 + 4 ÷ 17?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 3 × 3 ÷ 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 × 2 ÷ 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 11 + 20 − 10?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 4 + 9 × 11?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 + 9 ÷ 3?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 20 × 5 + 14?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 4 − 6 + 6?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 4 − 13 + 19?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 10 × 15 + 15?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 15 ÷ 15 − 20?

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