Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 773 · 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 ÷ 15 − 14 × 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 11 − 11 × 3?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 ÷ 4 × 7?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 17 − 12?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 6 × 6 − 8?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 19 × 10 + 8?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 ÷ 7 − 10?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 18 × 3?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 ÷ 11 − 14?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 17 + 10 × 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 17 ÷ 20 × 9?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 15 × 19 ÷ 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 18 × 19 ÷ 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 16 − 4 ÷ 20?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 + 12 ÷ 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 3 − 16 × 12?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 ÷ 5 × 7?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 ÷ 12 × 19?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 5 × 3 + 7?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 + 2 × 8?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 15 − 15 × 18?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 × 4 − 5?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 8 + 10 ÷ 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 ÷ 5 × 18?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 17 − 13 ÷ 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 × 12 ÷ 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 2 ÷ 15 − 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 18 − 12 × 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 × 6 − 7?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 4 − 4 × 5?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 3 ÷ 20 + 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 ÷ 15 − 9?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 14 − 11 × 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 16 − 5 ÷ 11?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 15 × 9 ÷ 15?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 ÷ 11 × 4?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 13 + 19 − 7?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 × 19 ÷ 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 6 − 15 + 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 4 − 13 × 4?

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