Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 282 · 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 15 × 15 − 15 + 7?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 10 − 13 ÷ 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 10 − 3 × 11?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 + 3 × 8?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 20 − 7 + 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 14 − 7 + 2?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 8 + 10 × 11?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 12 ÷ 14 × 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 × 6 + 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 18 ÷ 18 × 13?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 8 × 2 − 8?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 5 + 12 × 15?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 5 ÷ 2 × 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 2 + 6 ÷ 9?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 13 ÷ 16 × 5?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 14 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 10 ÷ 8 + 17?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 × 4 ÷ 7?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 ÷ 3 + 9?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 × 2 ÷ 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 7 × 6 ÷ 10?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 − 2 ÷ 17?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 8 ÷ 5 + 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 9 ÷ 4 × 16?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 4 + 7 ÷ 8?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 15 ÷ 16 × 11?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 18 + 3 − 3?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 19 × 7 + 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 16 + 18 − 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 14 − 11 + 15?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 11 ÷ 3 × 8?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 − 6 × 17?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 3 − 20 × 4?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 ÷ 3 − 12?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 2 − 7 + 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 17 ÷ 16?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 13 × 15 ÷ 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 20 − 20 + 4?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 9 × 20 ÷ 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 5 × 13 + 14?

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