Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 68 · 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 16 ÷ 11 × 6 + 3?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 ÷ 11 − 9?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 3 − 19 ÷ 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 ÷ 8 + 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 7 × 9 + 13?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 19 − 3 ÷ 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 9 + 8?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 13 ÷ 18 × 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 18 − 18 + 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 17 ÷ 20 + 4?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 5 ÷ 18 − 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 3 × 12 ÷ 4?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 12 ÷ 18 × 13?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 5 ÷ 6 × 2?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 − 16 × 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 7 ÷ 2 − 3?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 17 − 18 ÷ 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 8 ÷ 13 × 20?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 14 ÷ 5 × 8?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 × 16 ÷ 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 ÷ 12 + 7?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 18 × 6 − 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 × 11 ÷ 12?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 + 6 − 10?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 6 − 18 × 14?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 10 + 12?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 5 − 12 ÷ 16?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 × 4 + 4?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 5 − 17 ÷ 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 10 − 5 × 11?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 ÷ 11 + 18?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 10 − 6 + 10?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 ÷ 5 − 4?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 9 − 2 + 3?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 12 × 12 ÷ 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 2 ÷ 2 − 5?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 − 19 + 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 7 − 6 ÷ 15?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 2 − 14 ÷ 16?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 11 − 11 × 20 + 4?

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