Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 542 · 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 14 × 10 − 8 + 10?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 13 + 11 × 4?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 10 × 3 − 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 13 × 7 − 5?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 18 + 4 − 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 11 − 18 ÷ 16?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 − 8 ÷ 15?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 − 3 ÷ 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 10 × 4 + 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 20 ÷ 8 − 17?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 3 ÷ 16 + 16?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 ÷ 10 + 11?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 13 ÷ 16 × 12?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 × 7 ÷ 18?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 18 ÷ 12 × 14?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 12 + 8 − 12?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 16 + 6 ÷ 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 − 2 + 7 ÷ 20?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 12 + 2 − 9?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 4 + 12 × 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 × 2 ÷ 10?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 3 ÷ 10 × 3?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 8 + 5 − 12?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 2 + 13 × 9?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 16 − 6 + 8?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 6 − 19 ÷ 17?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 ÷ 16 − 6?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 7 + 7 ÷ 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 ÷ 9 + 20?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 12 × 5 ÷ 6?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 20 × 8 + 2?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 − 13 ÷ 11?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 15 − 14 ÷ 5?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 × 3 ÷ 11?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 2 × 6 − 15?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 ÷ 4 × 19?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 8 + 8 − 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 10 − 13 + 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 13 − 12 × 6?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 12 − 6 + 4?

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