Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 970 · 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 18 − 9 × 14 + 10?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 ÷ 20 × 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 × 20 ÷ 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 − 4 × 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 13 × 4 − 18?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 10 ÷ 18 × 10?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 19 × 13 + 7?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 10 + 13 × 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 17 × 17 − 5?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 7 × 7 + 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 ÷ 17 + 13?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 5 ÷ 2 × 6?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 + 7 ÷ 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 12 × 5 ÷ 5?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 14 × 7 − 4?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 + 5 × 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 19 − 17 ÷ 11?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 12 ÷ 20 × 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 19 ÷ 16 − 15?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 5 − 3 ÷ 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 + 5 ÷ 6?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 × 2 + 9?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 14 + 2 × 3?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 10 ÷ 11 − 6?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 × 5 ÷ 11?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 14 ÷ 10 + 11?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 ÷ 4 × 19?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 19 + 12 ÷ 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 2 ÷ 20 − 10?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 8 ÷ 14 − 17?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 6 + 2 × 15?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 × 12 ÷ 14?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 4 − 5 + 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 18 + 5 − 2?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 17 + 6 − 11?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 9 ÷ 12 × 18?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 14 ÷ 13 × 18?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 13 ÷ 18 + 18?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 13 + 13 − 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 × 17 ÷ 16?

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