Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 592 · 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 5 + 8 ÷ 8 × 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 17 + 8 − 8?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 + 3 ÷ 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 9 ÷ 7 × 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 14 + 20 × 7?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 17 × 10 ÷ 2?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 16 ÷ 17 − 4?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 + 7 × 16?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 19 × 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 14 × 9 ÷ 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 ÷ 10 − 19?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 7 + 11 × 5?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 18 − 5 ÷ 16?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 4 − 2 ÷ 9?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 9 × 6 − 17?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 16 ÷ 9 + 10?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 4 − 5 + 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 × 14 + 4?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 7 − 15 ÷ 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 7 − 15 ÷ 7?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 10 ÷ 20 + 18?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 3 + 16 − 2?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 8 × 4 − 20?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 ÷ 17 × 5?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 − 10 ÷ 20?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 4 ÷ 5 − 11?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 5 × 13 ÷ 20?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 5 ÷ 20 × 10?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 17 × 17 ÷ 15?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 × 15 − 4?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 ÷ 11 + 2?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 17 − 4 ÷ 18?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 4 − 6 ÷ 20?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 2 − 6 ÷ 12?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 9 × 9 + 11?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 13 ÷ 17 − 15?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 × 5 − 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 3 + 10 ÷ 4?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 4 × 19 + 7?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 11 × 15 ÷ 6?

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