Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 543 · 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 ÷ 10 + 16 × 15?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 14 + 2 − 9?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 20 − 9?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 2 − 6 ÷ 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 12 − 9 + 7?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 3 × 18 − 15?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 14 + 13 × 14?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 8 ÷ 14 × 10?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 4 − 14 ÷ 20?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 5 ÷ 10 + 19?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 2 ÷ 3 × 18?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 6 × 2 + 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 15 − 15 + 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 5 ÷ 2 × 2?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 17 × 2 ÷ 20?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 18 × 6 − 2?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 9 ÷ 16 × 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 2 − 9 × 5?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 11 − 11 ÷ 11?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 10 − 10 × 20?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 6 ÷ 8 − 15?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 2 ÷ 4 + 6?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 9 − 6 × 17?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 16 × 18 − 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 8 ÷ 5 + 5?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 13 ÷ 15 + 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 ÷ 19 − 19?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 16 + 9 × 9?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 − 2 × 7?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 9 − 9 ÷ 19?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 20 ÷ 4 × 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 × 3 ÷ 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 10 − 9 + 16?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 × 10 + 8?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 18 + 7 ÷ 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 12 ÷ 12 − 6?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 × 11 ÷ 14?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 5 ÷ 13 × 6?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 + 5 × 8?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 4 ÷ 6 + 18?

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