Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 311 · 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 10 ÷ 9 + 12 × 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 × 11 ÷ 16?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 7 − 4 ÷ 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 ÷ 2 × 14?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 16 × 16 + 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 18 ÷ 18 − 15?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 ÷ 6 + 13?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 3 ÷ 3 + 17?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 3 × 14 + 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 14 × 2 ÷ 18?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 12 + 7 ÷ 17?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 19 ÷ 19 − 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 20 ÷ 6 − 15?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 9 × 6 + 3?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 5 + 10 ÷ 6?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 15 + 15 × 17?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 9 × 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 19 × 3 + 14?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 20 ÷ 7 × 16?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 7 − 7 + 14?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 8 − 2 × 15?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 × 11 ÷ 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 2 − 8 ÷ 8?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 9 ÷ 6 − 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 8 − 8 + 4?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 4 + 7 − 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 19 − 9 ÷ 15?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 15 × 7 ÷ 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 4 − 15 × 10?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 7 ÷ 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 2 × 18 − 6?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 4 + 5 ÷ 2?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 15 ÷ 20 + 20?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 18 ÷ 2 + 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 3 + 2 ÷ 8?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 5 ÷ 3 × 3?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 20 − 20 ÷ 5?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 × 18 + 6?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 19 × 19 − 20?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 15 + 18 × 7?

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