Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 748 · 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 − 18 × 7 ÷ 18?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 18 + 13 − 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 14 + 16 − 14?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 13 − 2 × 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 ÷ 8 × 12?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 19 − 8 + 6?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 4 × 12 − 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 ÷ 4 × 4?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 7 − 7 + 3?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 + 3 × 13?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 18 ÷ 6 − 7?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 16 ÷ 12 + 13?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 ÷ 13 × 14?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 7 ÷ 16 + 13?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 5 × 10 − 9?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 ÷ 12 − 4?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 ÷ 18 × 17?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 8 ÷ 2 + 20?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 18 + 2 × 13?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 + 13 ÷ 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 6 × 11 ÷ 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 7 ÷ 8 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 × 12 + 5?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 12 × 14 + 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 11 − 3 ÷ 14?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 4 × 16 − 15?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 20 × 16 ÷ 4?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 2 × 10 ÷ 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 17 + 17 × 8?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 − 15 + 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 8 ÷ 7 − 6?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 + 9 ÷ 17?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 × 16 ÷ 8?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 − 20 ÷ 9?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 4 ÷ 15 × 9?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 ÷ 18 × 16?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 × 16 ÷ 12?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 7 ÷ 18 + 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 × 19 ÷ 5?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 12 − 9 × 4?

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