Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 290 · 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 13 + 2 × 6 − 3?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 4 ÷ 18?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 8 − 6 ÷ 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 ÷ 18 × 17?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 20 − 2 + 17?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 7 × 16 ÷ 10?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 2 − 4 ÷ 8?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 4 − 16 + 6?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 2 ÷ 11 − 18?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 14 + 17?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 12 × 12 ÷ 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 4 + 11 ÷ 2?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 9 + 20 × 5?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 13 − 6 × 14?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 8 − 2 × 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 + 8 ÷ 8?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 19 ÷ 10 × 19?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 9 − 12 ÷ 3?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 14 − 2 × 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 + 15 − 20?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 14 ÷ 16 − 15?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 10 − 13 × 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 3 ÷ 13 × 4?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 2 + 12 ÷ 15?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 × 2 + 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 13 ÷ 5 − 8?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 − 15 + 15?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 4 ÷ 10 − 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 9 + 3 × 6?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 13 × 15 − 19?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 18 + 12 ÷ 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 2 × 4 − 14?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 20 − 5 + 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 ÷ 2 × 18?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 3 + 3 × 8?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 6 − 12 ÷ 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 9 ÷ 13 × 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 8 ÷ 9 − 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 11 − 8 + 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 11 − 17 ÷ 4?

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