Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 975 · 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 7 + 6 ÷ 5 − 20?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 18 × 20 ÷ 18?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 16 ÷ 7 + 7?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 4 + 20 − 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 − 7 + 11?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 × 6 ÷ 5?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 × 17 ÷ 19?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 7 + 13 ÷ 2?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 19 × 16 ÷ 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 16 ÷ 11 × 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 14 − 7 × 11?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 × 12 ÷ 11?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 5 − 14 × 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 + 12 − 2?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 11 + 8 × 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 ÷ 5 × 15?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 9 − 2 × 13?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 6 ÷ 7 − 11?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 14 − 14 × 2?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 8 − 5 + 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 7 ÷ 8?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 11 × 8 + 20?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 13 + 2 × 19?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 ÷ 5 × 20?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 14 − 14 + 3 × 20?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 8 + 15 − 20?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 15 ÷ 15 + 20?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 − 20 ÷ 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 ÷ 17 + 9?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 7 − 7 + 2?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 19 ÷ 12 + 16?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 × 13 + 16?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 15 ÷ 20 × 15?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 × 2 ÷ 11?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 8 − 2 ÷ 5?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 6 − 18 ÷ 19?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 × 18 ÷ 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 7 × 3 ÷ 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 4 + 13?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 7 × 13 ÷ 14?

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