Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 617 · 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 3 × 9 ÷ 4 + 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 + 12 − 2?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 2 × 2 ÷ 19?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 + 15 ÷ 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 12 × 5 + 14?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 + 17 × 6 ÷ 7?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 18 × 3 ÷ 19?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 10 − 18 + 9?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 10 − 6 + 12?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 5 ÷ 12 × 7?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 10 + 9 ÷ 15?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 6 + 8 × 7?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 10 × 18 ÷ 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 ÷ 15 + 9?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 4 − 17 + 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 14 × 12 + 2?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 9 + 3 × 2?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 − 11 ÷ 8?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 3 ÷ 4 + 13?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 13 × 7 ÷ 8?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 + 17 × 19?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 14 + 6 ÷ 5?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 3 ÷ 19 + 17?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 13 ÷ 18 × 19?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 10 ÷ 4 × 3?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 ÷ 20 − 18?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 17 + 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 + 4 ÷ 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 4 + 2 ÷ 8?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 7 − 5 ÷ 7?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 11 − 14 × 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 12 + 14 − 7?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 10 − 6 + 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 18 − 11 ÷ 17?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 12 × 12 − 18?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 20 + 20 − 14?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 20 ÷ 13 × 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 4 − 3 × 8?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 4 − 2 + 12?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 14 × 10 + 16?

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