Symbol Substitution Worksheet

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

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