Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 380 · 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 × 6 ÷ 9 + 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 ÷ 7 − 3?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 × 17 ÷ 7?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 19 ÷ 13 − 12?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 8 ÷ 20 + 13?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 − 5 + 14?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 19 ÷ 18 × 14?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 10 × 13 + 13?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 11 − 4 × 4?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 3 ÷ 17 × 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 − 10 ÷ 12?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 ÷ 12 × 6?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 4 ÷ 7 − 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 19 + 3 × 9?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 18 − 10 × 18?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 × 18 ÷ 5?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 9 × 3 − 14?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 20 + 11 ÷ 13?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 13 + 13 × 4?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 + 13 − 10?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 × 9 ÷ 16?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 ÷ 2 × 13?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 9 ÷ 19 − 12?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 17 − 13 ÷ 15?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 6 + 3 × 13?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 3 × 4 ÷ 17?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 6 − 3 + 19?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 × 6 + 18?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 15 ÷ 8 + 12?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 18 + 8 × 13?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 ÷ 15 × 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 + 4 × 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 − 6 × 7?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 13 + 7 ÷ 17?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 17 × 14 − 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 5 + 5 ÷ 3?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 − 7 ÷ 17?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 + 5 ÷ 8?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 2 × 11 − 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 9 ÷ 10 − 10?

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