Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 644 · 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 8 − 9 + 2 ÷ 2?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 18 − 3 + 19?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 20 ÷ 6 − 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 8 ÷ 11 + 18?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 − 4 × 6?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 18 × 6 − 10?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 14 ÷ 6 − 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 − 10 × 14?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 − 12 + 8?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 15 + 3 − 5?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 7 + 17 × 7?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 20 + 4 ÷ 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 × 5 ÷ 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 12 − 10 ÷ 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 16 ÷ 14 − 8?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 17 × 17 ÷ 18?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 2 ÷ 20 + 5?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 9 − 3 + 18?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 4 + 19 − 19?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 15 − 5 × 5?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 15 − 6 + 11?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 − 16 ÷ 15?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 10 + 15 × 8?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 9 − 20 ÷ 11?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 − 13 × 10?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 − 2 × 17?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 8 × 8 − 11?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 11 × 3 − 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 7 − 20 + 19?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 12 ÷ 12 × 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 11 ÷ 4 × 19?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 × 15 − 13?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 19 + 8 ÷ 13?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 11 + 19 − 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 18 × 19 − 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 ÷ 5 + 5?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 8 + 7?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 10 × 12 + 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 2 ÷ 12 − 7?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 15 × 14 − 17?

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