Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 268 · 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 10 + 17 × 7 ÷ 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 18 − 4 ÷ 9?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 12 × 19?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 7 − 12 + 5?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 2 − 2 × 4?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 4 + 4 − 3?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 + 9 × 12?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 11 × 8 ÷ 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 6 ÷ 18?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 14 + 17 × 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 ÷ 4 + 10?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 11 ÷ 14 × 20?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 2 − 9 + 18?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 6 − 7 × 7?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 11 × 11 ÷ 4?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 20 × 3 + 6?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 13 ÷ 5 − 15?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 15 ÷ 19 × 2?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 10 ÷ 4 − 6?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 4 + 14 × 8?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 7 − 7 × 2?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 4 − 7 × 14?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 5 − 5 × 15 ÷ 15?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 12 ÷ 12 × 12?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 10 × 6 + 3?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 5 − 4 + 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 4 − 3 + 14?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 19 − 14 + 7?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 11 ÷ 18 × 19?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 2 ÷ 12 − 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 + 20 × 4?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 + 4 − 8?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 ÷ 12 × 16?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 17 + 11 − 11?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 7 − 19 ÷ 15?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 − 6 + 10?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 15 ÷ 2 − 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 ÷ 14 + 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 17 − 10 ÷ 6?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 14 − 2 × 3?

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