Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 83 · 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 ÷ 19 × 16 + 3?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 18 × 7?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 12 − 4 × 14?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 − 14 + 14?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 ÷ 3 × 18?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 19 ÷ 14 + 5?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 + 6 ÷ 15?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 2 ÷ 2 + 4?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 10 + 14 − 9?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 7 × 15 − 5?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 + 3 × 19?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 17 + 16?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 5 + 19 ÷ 8?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 + 15 ÷ 18?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 13 − 2 ÷ 16?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 16 ÷ 3 × 15?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 8 + 10 × 8?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 15 + 15 − 10?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 15 + 16 × 12?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 5 − 2 × 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 ÷ 11 − 18?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 4 ÷ 5 × 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 19 × 10 − 11?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 9 + 7 ÷ 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 19 − 20 + 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 4 ÷ 19 + 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 ÷ 6 + 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 4 + 10 × 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 19 ÷ 5 × 18?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 3 ÷ 19 × 19?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 7 × 14 ÷ 16?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 + 8 × 4?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 ÷ 17 × 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 11 ÷ 4 × 10?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 5 ÷ 10 × 20?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 3 ÷ 7 × 7?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 × 6 − 14?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 6 ÷ 20?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 9 × 9 ÷ 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 7 − 7 × 7?

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