Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 966 · 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 + 2 ÷ 5 × 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 + 8 × 3?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 16 × 3 ÷ 19?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 + 5 × 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 7 × 3 − 15?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 4 − 3 × 19?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 16 ÷ 6 × 10?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 2 ÷ 2 − 5?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 4 + 4 − 12?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 6 × 2 ÷ 7?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 3 ÷ 4 + 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 11 − 2 × 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 11 ÷ 10 + 11?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 × 16 ÷ 2?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 × 20 ÷ 10?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 − 6 × 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 × 15 ÷ 12?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 7 × 20 ÷ 20?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 5 − 12 + 16?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 − 2 × 17?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 − 18 × 9?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 × 18 ÷ 11?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 3 ÷ 19 + 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 8 + 8 ÷ 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 ÷ 19 × 4?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 6 + 3 − 18?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 7 − 2 ÷ 10?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 12 ÷ 19 × 11?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 18 ÷ 12 + 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 − 13 ÷ 18?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 11 ÷ 6 × 2?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 13 ÷ 17 − 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 12 + 2 − 7?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 2 − 2 ÷ 17?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 15 + 18 × 3?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 × 18 ÷ 14?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 17 − 10 + 5?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 × 6 − 6?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 ÷ 10 × 7?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 9 + 7 ÷ 17?

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