Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 386 · 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 3 ÷ 8 + 2 − 16?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 12 ÷ 18 × 10?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 11 ÷ 6 × 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 − 19 + 18?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 6 ÷ 2 − 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 ÷ 5 + 17?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 13 × 17 − 10?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 − 10 + 16?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 4 ÷ 10 − 17?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 18 − 14 + 10?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 ÷ 2 × 16?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 × 18 + 19?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 7 + 14 − 14?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 2 − 14 ÷ 20?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 × 4 ÷ 11?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 4 ÷ 15 × 3?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 10 ÷ 7 − 18?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 4 × 9 − 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 5 ÷ 18 − 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 8 ÷ 9 − 19?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 8 × 4 − 11?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 − 8 ÷ 10?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 6 × 11 + 11?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 × 12 − 2?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 2 ÷ 4 × 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 14 − 13 + 4?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 × 14 − 14?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 ÷ 10 − 10?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 16 − 16 × 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 17 − 17 × 20 + 19?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 10 ÷ 3 × 18?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 4 ÷ 9 × 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 17 × 14?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 14 + 15 × 3?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 × 7 − 11?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 − 5 + 9?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 + 3 × 3?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 ÷ 11 × 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 ÷ 2 − 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 13 ÷ 16 − 8?

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