Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 490 · 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 17 ÷ 14 × 6 + 6?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 8 − 13 ÷ 19?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 + 3 × 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 12 ÷ 12?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 2 ÷ 3 × 10?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 − 7 ÷ 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 16 × 20 ÷ 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 19 − 6 × 15?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 15 ÷ 6 + 18?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 10 × 5 ÷ 16?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 20 − 7 × 20?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 12 ÷ 8 − 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 12 + 4 × 3?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 14 + 14 ÷ 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 20 − 17 + 15?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 12 + 4 ÷ 5?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 2 − 3 ÷ 12?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 × 8 − 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 6 ÷ 13 + 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 6 ÷ 3 − 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 14 × 20 ÷ 5?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 ÷ 5 × 12?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 15 − 3 × 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 20 × 19 − 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 6 − 6 + 13?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 − 4 ÷ 12?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 17 × 4 + 4?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 15 × 2 − 15?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 20 − 8 ÷ 8?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 12 + 3 × 9?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 3 × 14 ÷ 6?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 2 − 2 + 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 7 ÷ 9 × 4?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 10 − 3 + 14?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 6 + 6?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 + 19 × 12?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 − 17 × 7?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 17 ÷ 13 + 9?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 5 + 3 ÷ 16?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 × 13 ÷ 7?

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