Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 138 · 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 7 + 9 ÷ 20 × 10?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 6 × 12 − 3?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 15 + 8 ÷ 16?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 ÷ 5 + 13?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 19 + 2 − 3?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 20 ÷ 16 × 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 14 ÷ 6 + 11?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 3 ÷ 5 − 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 20 × 8 ÷ 9?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 × 13 − 14 + 4?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 4 + 2 − 20?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 − 20 ÷ 18?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 17 ÷ 10 + 3?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 11 − 6 × 2?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 ÷ 15 × 2?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 ÷ 2 − 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 19 × 18 + 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 7 × 17 + 20?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 11 − 16 × 18?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 12 × 3 ÷ 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 16 − 4 ÷ 18?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 + 6 − 7?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 15 − 9 + 11?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 9 − 3 × 13?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 + 8 ÷ 4?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 14 + 3 − 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 17 + 2 − 4?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 3 ÷ 11 + 15?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 ÷ 12 × 19?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 ÷ 15 − 19?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 × 3 − 19?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 × 4 ÷ 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 17 × 16 ÷ 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 10 + 15 − 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 8 ÷ 3 − 9?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 + 13 ÷ 17?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 16 ÷ 2?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 18 × 11 ÷ 18?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 20 + 5 ÷ 16?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 5 − 5 ÷ 16?

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