Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 557 · 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 4 ÷ 16 + 8 − 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 16 ÷ 20 − 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 + 4 × 9?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 16 ÷ 18 × 6?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 17 − 2 × 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 7 × 14 − 19?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 12 − 6 ÷ 2?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 7 × 18 ÷ 3?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 19 ÷ 9 + 9?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 10 − 4 + 2?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 14 × 15 + 13?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 − 6 ÷ 18?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 ÷ 10 × 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 × 7 ÷ 18?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 6 × 16 − 3?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 16 ÷ 15 − 3?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 × 11 − 19 + 20?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 13 × 12 − 9?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 ÷ 3 + 16?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 12 − 14?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 15 + 8 ÷ 16?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 13 − 17 + 12?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 3 − 4 × 4?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 17 + 11 ÷ 12?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 + 5 × 14?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 7 × 5 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 5 × 16 ÷ 4?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 19 × 20 − 20?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 − 2 + 16?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 − 4 ÷ 19?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 18 − 5 × 3?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 ÷ 11 − 10?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 ÷ 12 + 4?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 20 − 6 ÷ 12?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 7 ÷ 10 + 14?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 6 ÷ 8 − 16?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 14 × 14 − 19?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 6 ÷ 7 × 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 7 ÷ 3 − 13?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 7 ÷ 3 + 8?

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