Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 523 · 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 12 × 4 + 9 − 15?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 12 × 13 ÷ 17?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 + 7 ÷ 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 16 × 2 − 15?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 20 + 5 ÷ 19?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 20 × 11 + 2?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 9 × 20 ÷ 20?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 + 13 × 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 2 ÷ 2 − 17?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 15 ÷ 8 + 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 + 2 × 12?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 18 + 7 − 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 10 ÷ 2 − 18?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 15 ÷ 9 + 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 16 ÷ 17 + 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 4 − 4 ÷ 20?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 7 ÷ 12 + 10?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 6 × 13 + 13?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 − 14 × 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 2 ÷ 12 − 17?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 9 × 3 ÷ 13?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 3 × 17 ÷ 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 18 + 5 − 18?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 5 ÷ 3 − 3?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 6 ÷ 6 + 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 ÷ 17 × 2?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 4 + 4 × 15?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 ÷ 10 + 10?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 15 − 13 ÷ 4?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 7 × 5 − 17?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 × 9 ÷ 17?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 16 × 2 ÷ 18?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 15 ÷ 7 − 18?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 10 − 10 + 13?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 × 3 + 8?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 4 + 5 ÷ 6?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 4 ÷ 18 − 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 6 − 13 ÷ 7?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 × 7 − 7?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 19 ÷ 11 × 18?

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