Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 744 · 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 × 6 ÷ 14?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 8 ÷ 8 × 10?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 15 ÷ 10 + 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 7 + 5 × 5?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 7 ÷ 5 × 16?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 × 17 + 9 ÷ 9?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 ÷ 12 + 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 18 − 19 × 18?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 − 7 ÷ 14?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 ÷ 8 × 11?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 ÷ 20 × 2?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 4 ÷ 13 − 10?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 − 4 × 8?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 20 + 13 − 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 11 × 12 ÷ 15?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 − 15 ÷ 13?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 + 2 × 17?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 7 × 18 + 5?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 12 ÷ 2 + 4?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 9 + 7 ÷ 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 ÷ 13 × 20?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 17 + 19 × 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 17 × 6 ÷ 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 14 × 7 ÷ 16?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 4 − 13 + 10?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 14 ÷ 12 − 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 4 − 9 ÷ 11?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 7 − 4 × 17?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 + 8 ÷ 2?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 − 20 × 15?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 14 ÷ 2 + 2?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 + 4 − 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 17 × 17 − 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 15 ÷ 20 + 4?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 6 × 14 ÷ 15?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 11 ÷ 2 + 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 − 12 × 13?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 10 × 20 − 15?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 16 ÷ 5 − 20?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 7 × 4 ÷ 15?

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