Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 925 · 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 − 14 ÷ 16 × 17?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 × 19 ÷ 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 20 × 15 + 19?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 19 ÷ 7 + 6?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 18 ÷ 4 + 13?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 16 − 12 × 4?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 − 15 + 14?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 2 ÷ 3 + 6?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 5 + 14 ÷ 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 9 + 9 × 9?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 14 × 3 ÷ 12?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 7 × 9 − 14?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 7 + 7 − 5 × 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 6 × 10 ÷ 9?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 17 − 10 ÷ 4?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 16 + 18 ÷ 5?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 8 ÷ 7 + 5?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 3 + 2 − 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 4 ÷ 10 + 14?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 19 − 18 + 9?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 × 6 + 3?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 18 − 13 + 16?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 − 4 ÷ 6?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 10 + 13 × 15?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 + 15 ÷ 20?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 8 + 2 − 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 12 × 6 − 16?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 + 16 × 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 ÷ 17 + 11?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 13 × 14 ÷ 18?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 − 16 × 15?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 2 × 16 − 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 9 ÷ 6 × 19?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 ÷ 4 + 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 3 − 14 × 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 16 ÷ 12 × 6?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 4 + 9 × 6?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 9 − 6 + 9?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 6 + 2 ÷ 15?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 17 − 18 ÷ 7?

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