Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 858 · 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 − 14 + 7 ÷ 20?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 6 × 2 ÷ 12?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 12 − 6 × 20?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 15 − 17 × 7?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 18 ÷ 12 × 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 6 ÷ 18 − 2?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 15 − 7 × 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 15 ÷ 19 − 13?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 7 − 18 + 18?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 5 × 10 + 9?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 9 × 6 + 6?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 5 − 6 ÷ 7?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 ÷ 2 − 16?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 10 − 5 × 8?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 16 + 8 − 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 8 − 8 ÷ 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 × 7 ÷ 14?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 18 ÷ 12 × 11?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 8 × 6 ÷ 18?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 − 12 ÷ 19?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 20 − 9 × 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 4 − 20 + 20?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 17 ÷ 19 − 18?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 6 + 11 − 3?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 9 − 6 × 2?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 15 × 6 ÷ 20?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 − 18 ÷ 19?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 15 − 16 + 7?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 3 − 8 + 4?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 18 + 16 × 8?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 12 ÷ 16 + 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 + 10 ÷ 7?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 16 + 2 × 10?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 2 + 20 − 2?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 ÷ 10 − 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 5 + 15 × 4?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 9 × 6 − 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 6 + 8 × 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 12 × 15 ÷ 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 × 9 ÷ 8?

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