Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 936 · 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 9 − 17 ÷ 15 × 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 18 × 18 ÷ 19?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 5 × 19 ÷ 20?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 13 × 11?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 − 14 ÷ 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 × 15 + 17?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 12 × 9 + 6?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 − 14 + 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 17 × 17 − 6?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 10 + 2 ÷ 10?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 5 + 5 − 13?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 9 ÷ 10 + 10?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 12 × 17 − 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 18 × 8 ÷ 10?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 20 × 20 + 19?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 11 × 19 + 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 11 + 16 ÷ 20?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 12 + 12 − 4?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 11 + 7 ÷ 13?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 14 + 6 ÷ 6?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 10 × 5 − 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 2 ÷ 20 × 18?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 − 2 + 14?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 15 − 4 + 18?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 15 × 4 + 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 13 + 14 × 14?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 14 − 14 ÷ 14?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 19 × 3 − 17?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 20 − 3 ÷ 11?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 ÷ 14 × 9?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 7 × 20 − 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 20 ÷ 15 + 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 2 − 10 ÷ 3?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 8 − 4 + 18?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 14 ÷ 18 + 19?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 19 − 19 + 16?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 18 × 5 ÷ 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 20 + 15 − 15?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 10 − 9 ÷ 16?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 8 ÷ 17 × 6?

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