Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 355 · 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 4 − 4 ÷ 9 × 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 × 18 + 2?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 2 − 12 × 11?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 10 − 3 + 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 13 ÷ 5 × 16?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 18 + 15 − 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 2 + 7 ÷ 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 14 × 20 + 9?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 ÷ 15 − 10?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 11 + 16 × 9?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 6 ÷ 6 × 15?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 ÷ 11 × 9?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 2 − 14 + 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 × 3 + 6?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 11 − 2 × 11?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 ÷ 6 + 6?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 19 − 16 × 5?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 13 ÷ 19 + 5?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 12 × 13 ÷ 2?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 10 ÷ 5 + 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 × 4 ÷ 11?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 6 ÷ 9 + 17?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 15 − 4 + 7?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 4 ÷ 6 + 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 12 + 5 × 19?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 8 − 16 ÷ 10?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 19 + 10 ÷ 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 8 ÷ 10 + 10?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 10 ÷ 18 + 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 − 18 ÷ 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 2 × 6 ÷ 3?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 5 + 3 × 8?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 ÷ 6 × 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 12 ÷ 12 + 8?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 11 ÷ 20 − 16?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 2 + 9?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 ÷ 5 × 17?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 11 × 4 ÷ 18?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 ÷ 6 + 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 ÷ 4 × 9?

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