Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 194 · 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 11 + 11 − 19 × 17?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 ÷ 4 × 17?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 15 × 20 + 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 5 − 10?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 + 18 − 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 11 + 4 × 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 16 ÷ 14 × 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 + 9 × 9?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 × 8 ÷ 20?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 10 × 11 ÷ 5?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 16 ÷ 10 − 10?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 11 + 6 − 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 ÷ 17 − 3?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 5 − 3 ÷ 4?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 2 + 2 − 15 × 11?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 14 × 18 + 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 15 + 10 ÷ 4?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 20 ÷ 5 + 3?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 16 × 8 − 14?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 + 20 − 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 × 10 ÷ 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 × 2 − 14?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 9 + 3 ÷ 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 16 + 12 − 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 13 + 10 × 5?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 10 × 16 − 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 − 2 × 4?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 4 − 4 ÷ 12?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 20 ÷ 2 + 10?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 8 × 10 + 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 12 + 11 × 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 + 2 × 8?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 17 − 14 ÷ 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 ÷ 19 + 13?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 12 + 3 ÷ 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 2 ÷ 16 − 18?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 13 ÷ 17 + 7?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 13 + 7 ÷ 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 19 × 19 − 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 18 − 9 ÷ 6?

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