Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 891 · 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 4 ÷ 12 − 11 + 17?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 8 × 4 ÷ 7?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 12 − 17 + 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 17 − 17?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 6 − 2 × 10?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 18 − 8 + 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 15 × 12 ÷ 20?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 16 ÷ 3 + 11?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 − 9 × 9?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 9 ÷ 9 − 9?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 + 11 × 18?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 20 − 4 + 5?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 − 3 + 17?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 14 + 3 ÷ 7?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 3 ÷ 11 × 10?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 + 15 − 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 + 3 ÷ 16?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 5 + 3 × 4?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 9 + 4 − 9?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 8 + 15 × 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 5 ÷ 18?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 15 − 13 ÷ 6?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 14 − 2 ÷ 18?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 10 ÷ 19?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 × 20 − 4?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 ÷ 13 + 16?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 18 − 9 ÷ 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 ÷ 7 × 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 + 2 ÷ 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 14 ÷ 10 − 5?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 ÷ 19 × 20?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 8 ÷ 14 + 16?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 11 × 3 − 14?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 − 16 ÷ 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 7 + 7 × 6 − 9?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 14 × 12 ÷ 19?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 16 × 2 − 14?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 11 × 18 ÷ 16?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 13 − 17 ÷ 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 8 − 16 × 2?

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