Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 711 · 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 15 − 6 + 15 × 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 3 − 2 + 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 18 − 2 ÷ 20?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 16 − 16 ÷ 13?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 ÷ 15 × 5?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 3 − 4 × 11?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 5 − 9 ÷ 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 6 + 19 × 19?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 2 ÷ 14 × 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 8 + 3 − 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 6 + 3 − 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 × 2 ÷ 15?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 10 × 6 + 6?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 6 × 9 − 14?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 × 14 ÷ 19?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 16 ÷ 16 − 19?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 11 − 6 ÷ 6?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 2 − 20 × 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 16 ÷ 16 × 2?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 − 18 × 16?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 12 + 6 ÷ 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 5 − 8 × 10?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 19 ÷ 4 − 3?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 2 ÷ 3 − 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 8 ÷ 17 + 5?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 12 × 12 + 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 4 ÷ 17 × 3?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 × 18 ÷ 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 6 × 18 − 18?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 ÷ 3 × 7?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 12 + 2 − 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 × 4 + 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 − 4 × 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 ÷ 17 + 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 11 − 11 × 13?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 × 2 ÷ 17?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 5 − 20 × 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 15 × 4 − 4?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 5 + 16?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 2 − 15 ÷ 10?

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