Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 298 · 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 5 ÷ 12 × 16 − 15?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 × 17 − 14?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 18 ÷ 9 − 9?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 7 − 2 ÷ 19?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 14 × 14 − 19?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 20 + 9 − 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 ÷ 5 × 14?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 × 17 ÷ 18?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 10 − 18 × 2?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 16 × 20 − 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 11 × 18 − 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 × 10 − 5?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 7 ÷ 5 × 5?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 ÷ 4 − 10?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 20 × 8 ÷ 20?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 ÷ 2 × 10?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 ÷ 15 − 9?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 + 7 ÷ 20?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 × 6 + 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 10 + 8 − 19?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 7 × 14 − 7?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 + 3 − 11?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 9 × 6 + 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 3 ÷ 2 − 20?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 13 − 13 × 4?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 19 − 19 + 8?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 4 ÷ 6 + 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 × 6 ÷ 16?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 20 − 15 × 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 2 − 19 ÷ 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 ÷ 4 × 4?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 × 6 − 3?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 × 2 ÷ 5?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 13 × 10 ÷ 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 14 ÷ 9 + 20?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 × 4 ÷ 17?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 4 × 12 ÷ 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 11 ÷ 12 + 17?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 2 − 4 × 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 12 − 20 × 9?

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