Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 907 · 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 + 4 − 2 ÷ 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 × 2 + 14?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 8 ÷ 14 + 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 12 × 10 ÷ 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 ÷ 6 × 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 10 ÷ 17?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 19 ÷ 9?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 ÷ 2 × 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 − 6 ÷ 3?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 ÷ 17 + 12?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 14 ÷ 13 × 17?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 4 ÷ 15 + 7?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 18 + 18 − 4?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 + 5 − 18?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 9 − 2 ÷ 13?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 8 + 3 ÷ 2?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 11 × 2 ÷ 3?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 15 ÷ 15?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 4 + 6 − 3?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 ÷ 2 + 12?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 2 − 17 + 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 20 + 2 ÷ 19?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 14 × 15 ÷ 10?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 7 × 5 ÷ 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 15 + 14 × 14?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 14 ÷ 13 + 12?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 9 ÷ 4 − 9?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 ÷ 17 × 17?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 9 × 2 ÷ 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 9 ÷ 11 × 5?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 10 + 5 ÷ 9?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 ÷ 19 + 10?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 16 + 2 − 2?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 16 − 7 + 12?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 × 9 ÷ 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 3 + 4 ÷ 9?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 4 − 4 ÷ 9?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 10 × 5 + 5?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 − 15 × 12?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 6 × 20 + 5?

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