Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 104 · 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 + 12 × 9 ÷ 5?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 13 × 14 ÷ 4?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 15 ÷ 16 × 10?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 15 × 2 + 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 12 − 3 ÷ 18?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 20 − 17 + 20?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 × 15 ÷ 15?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 2 − 8 × 19?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 9 + 5 × 7?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 8 × 12 ÷ 2?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 12 ÷ 2 × 17?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 9 × 16 ÷ 9?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 3 ÷ 13 + 14?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 ÷ 14 − 12?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 2 − 5 + 7?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 7 + 8 − 7?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 19 + 13 × 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 3 ÷ 6 + 20?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 17 + 19 − 17?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 + 8 − 13?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 16 + 4 ÷ 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 3 ÷ 8 × 8?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 19 × 12 − 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 20 + 10 × 2?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 18 − 10 + 9?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 3 − 16 + 11?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 7 + 15 ÷ 9?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 ÷ 18 × 11?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 × 3 + 19?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 2 + 20 × 10?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 4 + 5 × 19?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 14 − 14 + 9?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 2 − 15 + 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 8 − 8 + 2?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 + 4 − 16?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 10 − 14 ÷ 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 10 + 10 − 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 20 + 6 × 18?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 2 + 7 − 6?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 8 ÷ 18 × 10?

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