Symbol Substitution Worksheet

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

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