Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 130 · 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 7 − 15 + 9 × 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 7 ÷ 5 × 10?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 2 × 20 + 19?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 2 + 2 × 5?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 20 × 16 ÷ 19?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 8 ÷ 16 + 16?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 4 − 12 × 17?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 ÷ 6 − 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 16 − 5 + 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 20 ÷ 11 + 18?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 9 ÷ 11 × 11?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 7 × 8 + 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 19 − 3 + 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 + 3 × 3?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 ÷ 6 − 19?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 16 × 14 + 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 11 × 14 ÷ 12?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 19 ÷ 12 × 5?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 5 ÷ 18?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 18 − 9 ÷ 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 2 + 3 − 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 ÷ 18 × 17?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 19 − 15 ÷ 20?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 ÷ 17 × 13?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 9 + 3 − 9?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 18 − 5 × 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 10 × 14 + 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 17 ÷ 3 − 9?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 11 ÷ 8 − 8?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 14 × 7 − 20?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 × 17 + 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 9 − 17 × 10?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 18 ÷ 14 − 20?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 16 − 8 ÷ 4?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 2 + 20 ÷ 4?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 6 + 4 × 8?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 − 14 × 18?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 6 × 20 + 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 6 ÷ 18 + 20?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 16 + 18 − 12?

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