Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 918 · 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 + 3 × 7 ÷ 5?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 16 − 20 + 5?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 4 + 9 × 15?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 15 + 12 − 9?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 ÷ 9 − 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 9 − 3 ÷ 19?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 19 × 6 + 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 × 6 ÷ 4?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 5 × 12 + 7?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 8 × 14 − 16?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 20 + 20 − 5?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 × 7 − 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 ÷ 10 × 17?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 20 − 13 ÷ 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 20 × 20 + 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 + 2 − 19?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 19 − 19 + 19?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 16 + 2 ÷ 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 8 ÷ 10 − 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 17 − 14 × 17?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 + 2 − 18 × 18?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 ÷ 15 − 15?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 5 + 18?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 − 15 × 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 7 + 15 ÷ 18?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 15 − 19 ÷ 12?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 10 × 2 ÷ 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 11 − 10 + 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 + 18 ÷ 8?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 × 19 − 12 + 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 5 − 20 + 13?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 13 × 20 + 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 18 − 9 ÷ 2?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 13 − 16 × 14?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 3 + 15 − 3?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 3 × 3 − 2?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 ÷ 2 × 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 10 + 8 ÷ 3?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 3 − 18 ÷ 15?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 5 × 3 − 9?

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