Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 620 · 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 2 − 6 × 2 ÷ 6?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 6 − 18 ÷ 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 17 ÷ 18 + 7?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 9 × 6 ÷ 16?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 16 ÷ 16 × 10?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 20 ÷ 20 × 10?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 ÷ 19 × 19?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 16 − 2 × 9?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 7 + 20 × 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 × 4 ÷ 13?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 16 ÷ 6 + 3?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 3 + 17 ÷ 6?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 16 − 2 × 20?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 7 + 13 − 13?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 13 ÷ 16 × 2?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 3 × 3 − 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 + 11 × 18?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 ÷ 7 × 7?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 15 ÷ 8 − 9?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 18 × 12 + 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 11 ÷ 3 × 6?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 19 ÷ 7 + 7?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 + 18 − 3?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 13 − 19 ÷ 17?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 10 ÷ 13 − 20?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 14 ÷ 5 × 7?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 4 + 7 × 3?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 9 × 6 − 12?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 4 × 12 − 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 17 − 15 ÷ 6?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 16 × 2 − 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 20 × 5 + 11?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 10 × 15 ÷ 2?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 ÷ 10 × 18?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 13 − 4 ÷ 11?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 19 × 18 ÷ 17?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 2 + 7 ÷ 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 9 ÷ 15 − 16?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 8 + 3 − 2?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 4 − 6 ÷ 6?

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