Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 494 · 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 15 ÷ 6 − 4 + 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 12 − 6 + 14?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 10 + 14 ÷ 9?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 3 − 4 ÷ 12?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 20 ÷ 10 + 16?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 15 ÷ 2 × 5?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 × 19 + 8?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 10 ÷ 2 − 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 6 × 14 − 6?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 6 + 3 − 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 10 + 2 × 14?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 − 5 × 3?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 9 − 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 15 × 3 + 15?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 10 × 3 + 7?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 10 × 18 + 9?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 12 − 3 ÷ 3?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 4 ÷ 3 − 11?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 5 ÷ 8 + 19?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 9 × 18 + 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 ÷ 2 − 15?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 + 20 × 7?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 + 6 ÷ 12?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 13 ÷ 10 × 19?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 5 ÷ 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 17 − 17 + 19?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 2 − 10 × 7?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 10 ÷ 3 × 3?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 9 ÷ 16 × 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 19 × 10 ÷ 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 2 − 9 × 9?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 − 4 × 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 − 6 ÷ 11?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 − 14 + 15?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 × 9 ÷ 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 18 − 9?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 13 × 15 ÷ 5?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 7 × 16 ÷ 17?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 × 12 − 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 18 ÷ 6 × 2?

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