Symbol Substitution Worksheet

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

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