Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 662 · 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 16 × 4 − 16 + 13?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 17 × 16 + 4?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 19 ÷ 6 − 14?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 18 ÷ 3 × 2?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 18 + 16 ÷ 10?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 5 − 18 + 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 × 8 ÷ 20?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 14 ÷ 2 + 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 3 + 12 ÷ 19?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 5 − 3 × 19?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 18 × 6 − 6?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 7 ÷ 9 + 12?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 7 ÷ 2 × 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 13 × 20 ÷ 8?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 5 + 5 × 4?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 8 × 17 ÷ 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 × 2 + 11?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 + 14 × 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 18 ÷ 8 − 10?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 18 − 4 × 4?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 − 8 ÷ 17?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 4 + 5 × 13?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 8 × 4 + 17?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 8 ÷ 11 − 4?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 4 + 2 − 8?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 ÷ 10 × 3?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 2 − 15 + 15?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 11 − 8 ÷ 18?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 12 + 12 ÷ 11?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 8 × 18 − 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 7 × 15?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 4 + 7 − 7?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 5 + 3 × 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 19 − 8 × 19?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 5 × 2 ÷ 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 15 + 3 ÷ 8?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 2 ÷ 3 + 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 11 − 17 + 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 18 − 2 ÷ 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 9 × 5?

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