Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 959 · 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 × 5 + 8 ÷ 4?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 14 × 2 − 19?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 × 15 ÷ 7?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 4 ÷ 18 − 4?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 12 + 7 ÷ 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 × 14 ÷ 12?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 8 − 14 ÷ 5?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 5 + 9 − 15?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 2 ÷ 12 − 16?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 × 18 + 16?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 18 ÷ 7 + 9?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 4 ÷ 2?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 7 + 4 − 14?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 20 × 3 − 16?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 16 × 17?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 4 ÷ 18 × 19?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 ÷ 7 + 17?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 16 + 20 ÷ 15?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 5 − 19 + 4?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 12 + 16 ÷ 18?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 16 ÷ 13 + 3?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 × 9 ÷ 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 × 6 − 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 17 − 2 + 9?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 7 × 12 − 3?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 ÷ 17 × 15?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 3 ÷ 4 + 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 14 × 20 − 4?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 3 + 14 − 7?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 4 ÷ 14 + 6?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 6 ÷ 15 − 3?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 ÷ 15 − 2?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 10 − 14 × 18?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 × 11 ÷ 5?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 × 2 ÷ 12?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 ÷ 6 × 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 9 + 14 × 18?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 13 × 16 ÷ 12?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 7 × 3 − 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 16 ÷ 9 × 6?

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