Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 958 · 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 6 − 14 ÷ 16 + 10?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 10 + 2 − 16?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 14 × 7 − 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 × 12 ÷ 12?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 + 10 ÷ 15?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 − 14 × 7?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 9 − 8 + 8?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 − 19 × 16?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 14 × 6 ÷ 4?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 6 × 19 ÷ 7?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 19 × 13 ÷ 12?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 17 × 17 − 2?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 2 + 4 × 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 9 + 3 × 15?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 14 ÷ 6 − 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 16 − 8 ÷ 7?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 9 ÷ 7 + 14?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 5 − 15 × 3?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 × 13 + 7?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 6 + 2 × 7?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 5 × 9 ÷ 5?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 20 − 5 ÷ 18?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 8 ÷ 11 + 14?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 2 ÷ 9 + 3?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 4 − 6 × 12?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 13 + 6 − 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 ÷ 13 + 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 13 ÷ 16 − 13?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 11 − 5 + 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 8 ÷ 4 × 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 5 ÷ 11 + 6?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 16 ÷ 8 + 6?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 − 4 + 4?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 5 × 5 ÷ 8?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 5 − 11 ÷ 8?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 5 − 7 + 18?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 20 + 20 ÷ 6?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 2 ÷ 12 × 6?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 13 + 15 ÷ 13?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 17 − 2 ÷ 4?

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