Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 249 · 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 × 3 ÷ 15 − 11?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 × 5 ÷ 15?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 4 − 9 ÷ 13?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 − 17 × 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 6 − 12 × 6?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 16 ÷ 12 + 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 19 ÷ 13 − 5?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 11 + 14 × 9?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 2 ÷ 8 + 8?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 14 − 12 + 5?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 14 − 16 + 12?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 6 − 6 ÷ 4?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 12 + 2 − 4?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 10 ÷ 10 − 15?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 20 ÷ 12 × 17?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 7 + 2 × 7?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 ÷ 12 × 19?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 15 ÷ 18 − 18?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 − 18 ÷ 5?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 6 − 5 + 16?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 ÷ 11 × 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 15 ÷ 14 × 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 18 ÷ 19 + 10?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 7 × 19 ÷ 17?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 − 14 × 12?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 17 ÷ 6 + 3?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 19 + 7 − 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 6 − 13 + 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 12 × 12 − 4?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 ÷ 20 × 16?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 19 ÷ 8 × 11?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 − 13 ÷ 18?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 7 ÷ 7 − 13?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 9 × 8 + 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 ÷ 14 × 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 + 5 ÷ 4?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 9 + 3 ÷ 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 × 4 ÷ 3?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 5 ÷ 9 × 7?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 10 + 2 ÷ 6?

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