Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 720 · 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 20 + 14 ÷ 5 − 5?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 6 × 20 ÷ 14?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 10 + 13 ÷ 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 × 8 − 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 3 ÷ 14 + 7?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 × 7 ÷ 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 + 13 ÷ 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 5 ÷ 16 + 4?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 × 2 + 7?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 2 × 2 + 10?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 9 × 19 ÷ 17?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 ÷ 15 × 13?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 2 − 15 ÷ 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 12 − 5 + 13?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 2 × 16 − 8?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 6 × 17 − 18?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 20 + 10 ÷ 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 9 × 6 − 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 18 × 4 ÷ 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 7 + 18 × 8?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 19 ÷ 7 + 13?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 − 20 + 8?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 14 × 2 ÷ 10?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 × 18 ÷ 13?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 18 ÷ 14 + 11?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 5 ÷ 20 × 10?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 11 ÷ 15 − 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 14 − 17 ÷ 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 17 + 2 − 5?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 10 + 10 × 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 17 ÷ 4 − 10?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 11 ÷ 4 − 17?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 20 ÷ 18 − 10?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 5 × 18 ÷ 11?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 5 ÷ 9 × 4?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 4 + 18 ÷ 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 13 ÷ 20 × 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 × 5 ÷ 16?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 13 + 2 − 20?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 11 × 15 − 10?

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