Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 811 · 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 10 − 20 ÷ 3 × 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 20 + 12 ÷ 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 12 ÷ 4 − 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 9 ÷ 8 × 11?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 ÷ 3 + 6?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 7 ÷ 12 + 10?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 12 − 2 + 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 10 + 20 × 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 × 6 + 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 16 × 6 + 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 ÷ 8 × 5?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 14 ÷ 20 + 18?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 − 4 ÷ 2?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 12 ÷ 17 × 11?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 ÷ 7 × 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 × 9 ÷ 3?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 15 + 2 − 17?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 8 − 3 ÷ 19?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 15 + 15 × 16?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 8 − 16 ÷ 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 13 × 15 ÷ 10?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 11 + 13 ÷ 8?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 7 − 14 ÷ 19?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 20 − 5 × 10?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 13 + 20 × 20?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 3 − 10 ÷ 20?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 − 9 ÷ 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 7 ÷ 3 × 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 11 + 16 × 15?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 12 × 3 + 15?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 × 9 − 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 8 ÷ 9 × 5?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 15 + 11 ÷ 19?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 12 × 18 + 20?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 14 − 7 + 17?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 − 4 + 10?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 15 × 15 + 7?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 3 × 8 ÷ 20?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 15 ÷ 6 + 10?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 13 × 3 ÷ 9?

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