Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 849 · 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 15 − 16 + 3 × 13?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 4 + 6 − 6?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 4 − 15 ÷ 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 12 ÷ 7 − 3?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 13 + 13 ÷ 13?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 15 + 4 − 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 × 2 ÷ 12?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 2 − 17 ÷ 5?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 × 16 ÷ 4?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 19 × 20 + 20?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 − 9 × 17?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 6 × 6 − 16?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 18 − 12 + 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 − 19 + 10?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 20 + 19 ÷ 9?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 2 × 13 ÷ 17?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 16 − 12 × 19?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 13 + 6 − 16?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 − 12 ÷ 14?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 14 ÷ 16 + 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 10 × 12 − 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 19 × 18 ÷ 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 19 ÷ 2 − 16?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 ÷ 15 × 12?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 2 ÷ 3 − 12?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 5 × 13 − 10?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 11 ÷ 17 × 18?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 17 − 8 + 20?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 18 ÷ 12 − 7?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 15 × 5 − 3?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 ÷ 2 − 14?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 10 ÷ 16 − 2?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 11 − 11 + 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 6 + 19 ÷ 3?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 − 15 × 4?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 6 ÷ 18 × 8?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 3 ÷ 8 + 2?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 9 + 6 − 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 17 − 6 ÷ 14?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 4 + 4 − 14?

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