Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 254 · 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 6 ÷ 18 × 3 + 17?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 11 ÷ 7 × 3?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 2 ÷ 19 − 20?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 3 ÷ 18 × 18?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 14 + 10?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 8 − 12 ÷ 2?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 5 × 5 ÷ 5?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 7 + 7 ÷ 12?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 + 8 × 8?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 18 × 18 + 12?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 4 ÷ 19 − 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 2 + 4 − 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 20 + 20 ÷ 3?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 14 × 2 + 7?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 ÷ 19 × 4?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 19 − 18 ÷ 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 20 × 10 + 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 10 × 7 + 5?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 3 + 17 − 17?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 × 18 ÷ 6?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 14 + 18 × 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 15 ÷ 10 × 6?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 2 ÷ 15 + 10?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 20 ÷ 5 + 10?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 12 ÷ 15 × 14?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 7 ÷ 5 × 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 11 × 11 − 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 × 5 ÷ 9?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 8 ÷ 7 + 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 15 − 20 ÷ 8?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 3 × 14 ÷ 15?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 18 + 6 × 19?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 3 ÷ 20 − 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 16 + 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 13 − 5 + 9?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 17 ÷ 15 × 7?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 15 − 12 ÷ 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 × 20 ÷ 3?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 × 13 + 12?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 14 × 4 + 16?

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