Symbol Substitution Worksheet

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

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