Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 452 · 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 19 ÷ 3 − 9 + 9?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 − 12 ÷ 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 13 ÷ 7 + 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 12 − 2 + 7?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 11 ÷ 4 × 3?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 − 2 ÷ 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 ÷ 7 × 2?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 16 ÷ 16 × 15?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 + 13 − 9?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 2 × 19 ÷ 19?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 10 − 3 × 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 20 − 2 × 9?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 4 + 8 × 8?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 14 + 11 × 5?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 − 8 + 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 10 ÷ 11 − 13?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 14 + 2 ÷ 8?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 19 × 9 ÷ 16?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 19 ÷ 13 − 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 10 − 18?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 10 − 6 × 5?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 + 7 × 11?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 6 × 4 ÷ 7?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 17 × 5 ÷ 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 19 ÷ 5 × 20?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 18 + 18 − 2?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 ÷ 8 − 13?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 11 × 8 − 8?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 2 − 18 + 9?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 × 16 − 4?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 18 × 20 ÷ 20?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 5 × 18 ÷ 16?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 − 9 ÷ 5?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 13 + 2 ÷ 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 5 − 5 × 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 10 − 5 ÷ 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 − 2 ÷ 2?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 8 − 3 × 15?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 13 ÷ 14 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 10 − 7 ÷ 7?

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