Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 940 · 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 4 − 13 ÷ 16 + 7?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 8 ÷ 4 × 4?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 7 × 13 + 8?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 16 + 16 − 17?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 4 − 8 ÷ 13?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 3 − 5 ÷ 20?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 9 ÷ 17 − 14?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 3 × 15 ÷ 19?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 4 × 16 − 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 3 × 19 ÷ 7?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 6 + 13 × 13?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 × 3 ÷ 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 17 + 9 ÷ 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 − 5 ÷ 15 × 15?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 13 × 9 + 9?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 7 + 12 − 4?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 2 × 20 + 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 − 19 ÷ 4?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 ÷ 5 × 8?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 11 + 8 ÷ 12?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 19 + 10 ÷ 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 8 ÷ 14 − 13?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 3 − 2 × 14?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 2 + 20 × 9?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 11 ÷ 2 + 18?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 14 ÷ 6 × 7?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 10 × 2 − 10?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 + 19 − 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 5 ÷ 9 − 17?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 11 × 10 ÷ 17?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 5 ÷ 2?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 8 × 7 ÷ 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 18 + 3 × 11?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 5 ÷ 16 × 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 8 + 15 × 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 13 − 13 + 8?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 + 16 × 15?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 13 − 2 × 6?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 10 × 4 ÷ 3?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 × 11 ÷ 5?

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