Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 980 · 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 ÷ 10 × 16 + 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 8 − 8 + 7?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 9 − 5 × 20?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 × 18 − 8?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 8 − 19 + 16?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 + 8 ÷ 7?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 20 × 14 + 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 5 − 20 + 4?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 9 × 19 + 9?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 4 − 4 ÷ 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 10 − 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 19 × 18?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 20 + 6 × 12?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 9 − 15 × 19?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 − 3 × 18?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 − 3 + 9?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 20 + 4 × 16?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 17 + 7 × 10?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 6 × 9 + 3?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 × 16 ÷ 11?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 16 ÷ 3 × 8?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 15 + 3 − 9?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 8 × 9 ÷ 20?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 + 6 − 12?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 5 × 2 + 17?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 20 + 6 − 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 20 ÷ 13 + 7?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 × 4 + 13?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 10 ÷ 20 − 4?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 12 − 2 ÷ 20?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 19 ÷ 18 − 5?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 4 + 10 ÷ 8?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 6 ÷ 4 + 17?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 14 ÷ 6 × 17?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 9 ÷ 18 + 11?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 × 12 − 4?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 20 + 20 − 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 × 20 ÷ 2?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 + 7 − 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 ÷ 8 × 2?

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