Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 237 · 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 7 + 3 ÷ 10 × 18?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 19 − 12 × 7?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 6 × 9 − 14?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 6 ÷ 6 − 12?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 ÷ 13 × 5?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 ÷ 15 × 20?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 12 × 15 ÷ 20?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 8 × 2 ÷ 10?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 × 9 − 9?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 5 × 18 − 9?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 16 − 14?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 2 + 8 ÷ 8?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 + 6 × 3?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 13 × 16?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 ÷ 14 × 11?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 + 8 − 6?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 5 × 2 − 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 14 × 2 ÷ 14?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 12 ÷ 8 + 2?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 × 10 − 2?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 9 × 3 − 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 × 7 − 12 + 7?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 16 ÷ 11 − 18?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 15 − 20 × 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 18 ÷ 14 × 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 ÷ 5 − 4?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 2 − 20 × 8?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 14 + 14 ÷ 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 7 × 8 − 6?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 4 − 2 ÷ 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 × 20 ÷ 16?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 10 + 3 − 3?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 20 − 5 ÷ 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 6 + 20 − 10?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 5 × 5 + 7?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 19 ÷ 14 × 13?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 14 × 7 + 5?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 6 × 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 2 × 2 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 2 − 7 ÷ 15?

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