Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 950 · 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 2 × 9 + 20 ÷ 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 16 ÷ 13 + 19?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 8 ÷ 14 × 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 20 − 10 + 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 + 19 ÷ 15?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 19 × 8?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 17 × 18 − 13?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 4 ÷ 17 × 9?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 × 6 − 18?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 18 + 3 − 19?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 13 − 9 ÷ 13?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 10 − 8 + 20?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 4 ÷ 8 × 6?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 6 + 12 × 18?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 + 6 ÷ 19?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 2 × 2 + 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 20 ÷ 4 − 5?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 4 ÷ 10 − 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 ÷ 19 + 16?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 18 ÷ 4 + 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 6 × 2 − 4?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 ÷ 15 × 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 13 ÷ 18 × 9?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 13 − 9 + 10?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 6 ÷ 10 × 4?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 18 + 10 − 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 6 × 6 − 15?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 11 ÷ 15 − 8?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 ÷ 11 − 19?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 − 2 × 7 + 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 4 ÷ 18 + 4?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 11 × 3 − 3?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 13 − 14 × 12?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 − 12 × 8?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 9 × 15?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 13 × 3 ÷ 15?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 15 × 10 ÷ 6?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 18 − 13 + 15?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 14 + 4 − 8?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 12 ÷ 15 × 13?

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