Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 782 · 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 × 8 − 9 + 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 11 × 6 ÷ 11?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 9 × 7 + 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 6 − 3 ÷ 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 ÷ 12 × 19?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 ÷ 5 × 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 7 × 2 ÷ 18?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 9 + 17?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 − 19 × 10 ÷ 17?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 17 × 8 ÷ 15?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 4 + 6 × 2?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 − 13 × 11?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 × 15 ÷ 14?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 + 20 × 14?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 + 19 × 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 14 + 7 × 3?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 − 11 ÷ 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 10 × 12 − 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 17 ÷ 2 − 18?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 12 − 6 × 19?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 4 ÷ 16 + 4?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 − 4 ÷ 18?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 8 × 4 − 4?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 17 − 8 ÷ 19?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 4 − 15 + 5?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 17 × 4 ÷ 19?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 7 − 11 + 7?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 5 + 10 × 16?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 13 − 15 ÷ 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 9 × 10 − 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 3 + 6 × 9?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 15 ÷ 14 − 20?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 ÷ 8 × 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 9 × 3 ÷ 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 15 ÷ 15 − 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 + 11 ÷ 17?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 7 − 7 + 3?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 13 − 8 ÷ 16?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 10 ÷ 20 × 15?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 2 ÷ 9 + 11?

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