Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 93 · 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 7 ÷ 9 + 9 × 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 2 × 9 ÷ 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 ÷ 8 + 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 ÷ 7 × 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 19 ÷ 3 × 11?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 10 × 10 + 10?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 ÷ 8 + 5?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 6 + 4?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 10 × 18 + 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 18 + 10 − 2?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 6 × 2 − 8?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 2 ÷ 10 − 14?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 17 × 19 + 8?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 − 5 + 7?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 ÷ 18 − 6?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 6 ÷ 6 × 4?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 5 + 4 ÷ 14?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 6 − 6 ÷ 2?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 20 − 15 + 14?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 8 − 4 ÷ 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 6 × 8 ÷ 12?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 14 + 14 ÷ 16?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 12 × 2 − 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 8 × 5 − 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 14 ÷ 9 × 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 20 + 17 ÷ 3?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 9 + 18 × 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 17 × 6 ÷ 12?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 12 ÷ 18 − 18?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 14 ÷ 5 × 18?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 12 + 15 − 10?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 × 17 + 11 − 15?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 14 + 2 × 17?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 11 − 17 × 7?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 6 ÷ 9 + 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 9 + 20 ÷ 4?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 2 × 8 + 5?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 13 ÷ 15 × 12?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 − 10 + 18?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 7 + 4 × 6?

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