Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 719 · 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 20 − 15 + 4 × 14?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 13 × 19?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 3 − 2 ÷ 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 9 ÷ 8 − 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 15 ÷ 15 − 8?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 18 + 17 − 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 17 ÷ 8 × 17?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 3 × 17 + 11?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 8 + 14 × 7?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 4 × 8 + 2?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 13 × 10 + 4?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 12 × 20 ÷ 15?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 − 2 ÷ 15?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 15 + 10?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 10 ÷ 9 × 14?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 6 − 7 × 19?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 5 × 2 ÷ 6?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 17 − 6 + 3?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 6 − 2 × 6?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 18 ÷ 9 × 3?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 18 − 2 × 18?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 2 × 3 + 6?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 11 × 5 + 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 17 × 17 ÷ 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 2 ÷ 20 − 10?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 ÷ 6 × 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 10 + 20 − 10?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 16 ÷ 11 + 20?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 10 ÷ 11 + 17?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 6 × 12 ÷ 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 − 20 ÷ 17?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 15 ÷ 20 − 10?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 2 + 2 ÷ 2?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 7 ÷ 10 × 19?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 20 × 11 ÷ 7?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 20 × 11 + 19?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 6 − 3 ÷ 6?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 × 20 ÷ 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 14 × 15 ÷ 8?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 3 − 10 ÷ 13?

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