Symbol Substitution Worksheet

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

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