Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 648 · 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 20 − 3 ÷ 8 × 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 14 + 2 ÷ 19?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 19 − 15 + 5?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 ÷ 18 + 18?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 14 + 2 ÷ 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 20 + 10 ÷ 8?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 19 + 3 ÷ 8?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 20 − 11?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 20 ÷ 3 + 5?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 ÷ 4 + 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 + 15 ÷ 8?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 15 − 11 ÷ 7?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 6 × 18?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 19 + 4 ÷ 14?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 7 ÷ 10 + 2?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 ÷ 4 × 11?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 7 − 2 ÷ 12?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 14 × 14 ÷ 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 × 4 + 6?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 15 × 15 − 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 + 4 ÷ 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 18 − 5 + 5?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 12 ÷ 18 − 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 20 − 15 + 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 ÷ 20 × 15?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 9 ÷ 7 − 13?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 19 − 4 × 13?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 4 ÷ 6 − 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 3 × 18 + 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 − 13 × 15?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 5 + 5 × 20?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 7 × 6 − 3?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 6 ÷ 2 + 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 5 ÷ 2 × 11?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 10 + 5 × 14?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 2 − 6 + 2?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 2 × 11 + 11?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 17 × 14 + 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 4 × 3 + 3?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 5 ÷ 8 + 17?

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