Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 245 · 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 14 × 10 + 9 − 9?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 + 3 × 15?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 × 14 + 2?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 15 − 2 ÷ 9?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 5 ÷ 14 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 20 + 2 ÷ 14?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 3 + 9?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 × 6 ÷ 4?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 4 ÷ 5 − 9?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 + 12 − 12?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 13 × 15 + 17?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 9 × 12 + 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 20 − 3 + 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 20 ÷ 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 3 ÷ 20 − 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 17 × 19 − 12?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 9 + 5 − 3?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 8 × 18 ÷ 10?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 8 × 6 − 17?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 × 9 + 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 13 − 18 × 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 11 × 13 ÷ 7?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 8 − 11 + 16?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 19 ÷ 12 + 13?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 17 ÷ 10 × 13?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 6 − 10 + 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 ÷ 14 − 17?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 5 × 13 ÷ 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 × 15 ÷ 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 16 × 13 ÷ 13?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 5 × 2 − 8?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 3 − 9 ÷ 10?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 3 ÷ 3 + 18?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 − 14 + 5?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 4 ÷ 12 × 3?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 17 + 2 ÷ 8?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 ÷ 7 × 11?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 + 18 × 11?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 × 20 ÷ 14?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 16 ÷ 12 + 19?

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