Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 741 · 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 − 12 + 6 × 3?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 ÷ 10 × 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 2 + 3 − 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 16 − 18 ÷ 3?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 11 ÷ 4 × 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 × 12 ÷ 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 15 + 8 − 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 19 ÷ 8 × 8?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 3 ÷ 5 × 7?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 − 6 × 6?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 17 − 7 + 8?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 18 ÷ 3 − 8?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 4 + 7 − 14?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 10 + 5 ÷ 20?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 − 8 × 12?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 9 − 9 × 15?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 × 6 ÷ 4?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 10 − 9 + 5?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 10 + 5 × 20?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 6 − 9 × 9?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 12 + 2 × 2?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 12 × 11 ÷ 14?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 14 − 12 + 6?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 6 × 8 ÷ 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 2 × 20 + 18?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 9 × 19 ÷ 8?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 10 ÷ 6 − 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 14 − 2 ÷ 20?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 6 + 10 − 11?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 8 + 11 ÷ 18?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 16 ÷ 12 − 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 + 15 × 2?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 19 × 6 + 17?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 9 − 4 × 7?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 8 × 20 − 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 8 ÷ 18 × 19?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 + 9 × 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 20 ÷ 3 − 15?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 10 × 10 − 4?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 11 + 10 − 5?

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