Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 769 · 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 5 − 16 + 8 × 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 17 ÷ 18 − 7?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 9 − 4 ÷ 11?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 8 ÷ 3 + 16?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 18 − 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 + 2 − 10?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 12 + 3 ÷ 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 5 − 10 ÷ 10?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 3 × 18?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 19 − 19 × 10?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 6 − 17 × 18?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 19 ÷ 2 × 5?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 3 × 18 ÷ 8?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 20 ÷ 3 − 3?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 5 × 4 + 4?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 2 + 6 ÷ 9?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 6 + 15 ÷ 8?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 18 × 18 ÷ 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 15 × 5 ÷ 4?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 18 − 9 + 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 + 4 ÷ 4?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 18 ÷ 19 × 15?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 20 ÷ 14 × 10?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 5 ÷ 15 × 11?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 20 × 6 ÷ 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 12 ÷ 5 × 12?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 × 7 ÷ 16?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 8 − 2 × 16?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 − 15 ÷ 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 18 ÷ 11 − 17?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 7 × 9 ÷ 11?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 6 − 3 ÷ 12?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 12 × 4 − 5?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 14 + 7 × 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 2 ÷ 4 + 8?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 3 + 5 ÷ 10?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 + 7 ÷ 10?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 19 ÷ 13 + 6?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 + 18 ÷ 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 16 × 2 ÷ 15?

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