Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 481 · 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 − 20 × 20 + 12?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 9 × 4 ÷ 8?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 9 − 6 ÷ 20?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 12 − 5 × 14?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 13 ÷ 6 × 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 4 − 5 ÷ 2?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 20 − 5 + 8?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 10 ÷ 7 − 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 14 − 7 ÷ 14?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 13 × 4 ÷ 11?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 + 12 ÷ 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 − 8 × 7?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 5 + 20 ÷ 18?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 16 − 7 + 8?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 14 × 14 + 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 20 − 10 × 7?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 7 − 16 ÷ 15?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 ÷ 16 × 9?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 12 ÷ 17 × 9?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 4 ÷ 15 × 13?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 8 + 10 × 10?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 4 + 18 ÷ 13?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 ÷ 14 × 14?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 4 + 13 × 17?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 16 × 3 + 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 × 5 + 8?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 20 + 7 × 7?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 18 ÷ 4 × 6?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 × 13 − 10?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 14 ÷ 2 + 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 9 ÷ 2 − 10?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 × 13 + 12?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 14 × 6 ÷ 10?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 19 + 9 − 6?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 15 ÷ 4 × 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 16 ÷ 13 × 9?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 12 + 5 × 16?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 − 8 ÷ 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 9 ÷ 13 − 12?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 18 + 18 × 6?

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