Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 990 · 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 13 ÷ 4 − 10 + 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 17 ÷ 6 − 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 8 + 16 × 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 ÷ 3 − 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 + 6 ÷ 17?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 3 ÷ 20 − 3?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 − 16 × 3?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 20 ÷ 3 × 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 10 − 12 + 6?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 × 20 ÷ 20?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 × 12 ÷ 12?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 18 ÷ 3 − 7?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 6 + 2 − 5?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 7 − 2 ÷ 17?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 × 2 − 14?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 2 ÷ 8 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 5 ÷ 14 + 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 17 − 17 × 18 ÷ 19?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 4 − 10 ÷ 12?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 − 11 + 20?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 ÷ 3 + 5?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 11 × 7 − 3?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 9 + 9 ÷ 6?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 ÷ 2 + 12?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 17 − 7?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 × 15 ÷ 10?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 19 ÷ 14?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 12 − 9 × 6?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 8 + 9 × 9?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 18 × 3 + 5?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 17 + 16 ÷ 9?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 20 + 6 − 3?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 10 × 8 + 4?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 + 8 × 3?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 9 × 13 ÷ 16?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 18 × 14 − 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 7 − 7 + 19?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 12 + 3 − 18?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 14 ÷ 17 + 8?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 17 + 17 × 5?

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