Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 993 · 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 12 ÷ 20 − 4 × 16?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 7 − 11 + 7?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 19 ÷ 20 × 11?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 4 − 18 + 19?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 9 ÷ 12 + 16?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 20 ÷ 3 − 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 × 8 + 14?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 19 × 2 − 6?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 − 2 ÷ 17?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 × 20 − 10?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 18 − 6 + 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 16 × 7 ÷ 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 4 ÷ 2 − 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 16 × 9 ÷ 11?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 3 + 17?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 15 − 13 × 6?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 + 9 − 19?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 − 3 + 5?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 2 ÷ 4 × 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 2 − 2 + 14?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 ÷ 19 + 2?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 14 + 5 ÷ 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 7 ÷ 6 × 2?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 5 + 8 − 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 ÷ 3 − 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 19 × 12 ÷ 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 19 × 12 ÷ 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 5 ÷ 12 − 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 + 16 ÷ 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 13 ÷ 3 + 10?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 − 2 × 3?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 2 ÷ 12 + 8?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 6 − 6 ÷ 20?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 7 ÷ 2 + 4?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 11 − 10 ÷ 12?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 13 ÷ 13 × 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 17 ÷ 12 + 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 15 + 9 ÷ 9?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 5 + 17 ÷ 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 × 11 − 11?

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