Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 256 · 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 15 + 7 − 12 × 4?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 16 − 18 × 18?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 × 12 ÷ 13?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 × 18 + 19?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 10 + 16 × 15?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 6 × 16 − 9?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 − 15 ÷ 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 ÷ 6 + 15?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 20 − 2 × 4?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 17 ÷ 18 − 12?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 × 17 ÷ 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 16 − 2 ÷ 19?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 4 ÷ 5 − 7?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 − 4 × 11 ÷ 7?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 9 × 4 + 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 4 − 20 + 9?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 3 ÷ 11?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 15 × 19 ÷ 10?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 6 + 16 − 4?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 6 + 12 ÷ 15?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 14 ÷ 6 + 7?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 ÷ 5 + 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 2 × 6 + 6?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 10 + 18 − 6?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 4 − 5 ÷ 8?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 9 + 17 − 11?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 4 − 12 ÷ 13?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 4 × 3 − 6?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 3 + 15 × 19?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 3 − 15 ÷ 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 20 × 15 − 9?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 + 5 × 14?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 8 × 3 − 9?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 9 ÷ 13 + 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 2 ÷ 10 − 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 15 ÷ 18 − 4?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 4 − 2 ÷ 15?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 14 + 12 ÷ 12?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 20 × 13 − 9?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 3 ÷ 11 × 6?

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