Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 844 · 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 + 12 − 5 ÷ 16?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 14 − 7 + 13?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 13 ÷ 7 + 20?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 ÷ 9 − 3?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 ÷ 19 × 5?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 + 9 × 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 ÷ 2 + 19?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 ÷ 3 × 4?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 20 × 5 + 3?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 5 ÷ 15 + 9?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 × 11 + 11?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 6 + 3 ÷ 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 7 + 4 ÷ 10?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 17 ÷ 15 × 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 14 + 16 − 4?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 10 × 3 + 4?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 3 − 20 × 6?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 14 ÷ 7 + 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 9 × 12 ÷ 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 ÷ 19 + 5?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 19 + 19 ÷ 3?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 9 − 18 + 9?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 + 17 ÷ 12?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 16 ÷ 3 × 6?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 2 − 13 ÷ 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 9 + 5 × 14?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 20 × 18 ÷ 16?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 15 − 14 × 16?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 × 6 ÷ 4?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 4 + 11 − 2?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 16 × 16 − 4?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 6 − 13 ÷ 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 − 2 ÷ 4 × 20?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 8 × 16 − 4?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 + 3 − 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 13 + 10 ÷ 12?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 19 ÷ 8 − 4?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 5 ÷ 8 − 5?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 13 × 7 ÷ 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 15 × 18 + 8?

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