Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 327 · 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 − 10 × 16 ÷ 7?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 19 × 5?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 − 17 ÷ 16?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 6 ÷ 15 × 5?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 4 − 13 + 16?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 16 + 5 ÷ 7?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 × 7 ÷ 8?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 13 + 3 ÷ 14?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 9 − 18 + 15?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 14 × 6 − 17?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 ÷ 6 × 18?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 13 + 2?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 19 − 8 + 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 10 + 14 − 10?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 16 − 6 ÷ 16?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 7 + 5 × 5?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 9 ÷ 10 × 20?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 7 − 3 × 17?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 × 16 ÷ 20?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 3 ÷ 11?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 9 + 9 − 16?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 14 − 3 × 2?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 4 − 16 × 2?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 6 ÷ 3 × 10?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 5 ÷ 2 − 3?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 18 ÷ 2 − 19?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 20 + 10 ÷ 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 + 18 ÷ 7?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 3 ÷ 16 − 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 8 ÷ 12 × 11?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 10 + 2 ÷ 5?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 6 − 6 ÷ 20?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 10 − 11 ÷ 18?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 ÷ 8 × 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 17 ÷ 10 × 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 − 2 × 16?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 3 − 15 × 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 9 − 3 + 16?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 5 ÷ 3 × 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 7 + 11 ÷ 20?

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