Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 754 · 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 3 − 13 ÷ 13 × 19?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 11 + 13 ÷ 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 20 + 5 ÷ 17?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 3 × 16 ÷ 10?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 10 − 7 × 17?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 − 2 ÷ 5?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 × 4 − 4?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 4 × 12 ÷ 5?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 12 ÷ 11 × 5?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 10 × 7 ÷ 4?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 − 5 × 11?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 8 ÷ 9 − 18?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 6 ÷ 11 + 6?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 2 + 7 ÷ 18?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 + 14 × 15?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 13 ÷ 6 − 2?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 ÷ 15 × 20?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 ÷ 5 × 17?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 ÷ 10 × 7?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 20 + 14 ÷ 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 7 ÷ 16 × 10?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 5 − 18 × 19?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 3 + 2 ÷ 12?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 ÷ 10 × 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 10 + 12?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 12 × 9?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 19 + 19 × 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 13 × 17 ÷ 20?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 7 + 2 ÷ 16?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 × 4 − 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 8 + 4 − 4?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 18 − 14?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 − 3 ÷ 15?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 18 − 20 × 4?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 × 20 ÷ 14?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 19 − 19 + 13?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 10 × 9 − 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 19 − 11 + 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 8 − 7 × 4?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 18 + 18 × 18?

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