Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 42 · 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 3 ÷ 14 × 14 − 19?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 15 ÷ 12 − 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 17 ÷ 2 + 11?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 − 3 × 19?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 + 2 ÷ 17?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 8 ÷ 13 − 6?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 − 12 ÷ 19?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 5 − 7 × 7?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 × 5 ÷ 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 × 8 + 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 12 + 5?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 9 + 2 × 2?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 17 × 6 ÷ 8?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 9 − 9 ÷ 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 × 13 ÷ 19 − 12?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 9 + 11 ÷ 4?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 15 − 3 ÷ 3?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 17 − 11 + 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 + 8 ÷ 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 3 + 9 × 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 5 − 14 ÷ 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 20 + 20 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 7 + 20?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 5 + 4 × 10?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 4 ÷ 10 + 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 15 ÷ 11 + 20?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 − 7 × 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 14 ÷ 20 × 8?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 4 ÷ 3 − 3?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 ÷ 9 × 2?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 13 ÷ 3 + 20?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 14 ÷ 19 × 16?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 2 ÷ 11 × 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 15 − 10 ÷ 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 9 ÷ 15 × 16?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 × 4 ÷ 14?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 14 + 6 ÷ 13?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 16 − 3 × 2?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 12 + 7 × 20?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 4 × 15 ÷ 14?

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