Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 594 · 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 − 8 × 20 + 10?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 13 − 5 × 18?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 ÷ 18 × 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 2 + 20 × 13?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 3 − 12 ÷ 14?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 6 + 10 − 4?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 3 − 12 × 18?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 + 5 × 15?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 + 15 × 7?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 12 + 6 ÷ 3?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 9 − 18 ÷ 12?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 7 ÷ 19 × 15?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 7 ÷ 3 × 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 − 5 ÷ 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 5 − 18 + 18?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 16 − 2 ÷ 9?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 + 5 − 3?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 15 ÷ 7 + 9?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 6 + 3 ÷ 17?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 9 ÷ 12 − 20?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 11 + 20 × 4?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 16 − 4 + 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 14 × 2 ÷ 7?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 + 10 × 5?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 15 + 4 − 4?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 4 × 5 ÷ 17?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 3 + 10 ÷ 13?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 9 − 20 + 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 2 ÷ 14?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 20 × 8 ÷ 17?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 13 × 14 ÷ 14?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 9 ÷ 18 × 20?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 11 ÷ 7 + 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 9 + 7 ÷ 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 5 + 19 ÷ 9?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 9 + 17 × 3?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 2 ÷ 15 + 15?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 20 ÷ 19 × 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 6 ÷ 18 × 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 2 × 8 ÷ 14?

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