Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 737 · 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 + 5 ÷ 10 × 10?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 16 − 2 + 6?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 19 × 6 − 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 17 × 16 ÷ 10?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 × 4 ÷ 12?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 15 × 16 ÷ 9?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 17 + 10 × 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 ÷ 4 − 11?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 2 − 5 ÷ 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 15 + 3 × 10?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 9 × 18 ÷ 18?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 3 × 3 − 14?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 11 − 16 + 11?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 + 2 − 2?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 20 + 9?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 7 × 6 − 3?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 3 + 15 × 5?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 16 × 18 + 16?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 14 × 16 − 2?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 6 ÷ 6 − 17?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 11 ÷ 15 − 12?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 15 × 19 + 19?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 10 ÷ 10 × 9?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 ÷ 16 × 20?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 + 12 − 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 15 × 3 ÷ 12?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 2 − 9 × 20?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 4 ÷ 7 × 18?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 8 − 16 × 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 7 + 3 × 18?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 2 × 15 ÷ 20?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 7 ÷ 9 − 9?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 2 + 6 ÷ 10?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 2 × 13 + 13?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 3 × 7 ÷ 6?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 8 × 5 − 5?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 17 + 15 × 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 7 − 2 × 20?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 + 3 × 8?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 + 6 − 16?

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