Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 920 · 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 × 10 ÷ 2 − 17?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 11 − 7 + 5?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 × 6 + 13?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 6 + 3 × 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 + 18 × 2?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 10 − 4 ÷ 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 10 − 10 × 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 2 − 9 ÷ 19?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 9 − 9 × 20?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 3 − 16 + 13?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 11 + 9 × 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 11 × 19 ÷ 9?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 10 × 14 − 14?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 9 − 5 ÷ 15?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 × 9 − 20 + 11?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 6 − 12 ÷ 10?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 7 ÷ 15 + 13?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 15 + 3 − 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 19 ÷ 4 + 2?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 4 + 2 ÷ 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 5 ÷ 18 − 16?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 10 + 7 ÷ 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 5 ÷ 3 + 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 ÷ 18 × 9?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 12 × 14 − 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 2 − 12 ÷ 19?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 19 × 15 ÷ 15?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 10 ÷ 2 + 11?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 2 + 11 ÷ 4?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 6 − 14 + 4?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 6 + 7 × 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 4 − 14?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 15 ÷ 12 − 10?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 9 − 6 ÷ 5?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 8 − 15 + 3?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 14 × 17 − 17?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 ÷ 9 − 2?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 7 ÷ 17 + 20?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 8 − 9 + 7?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 5 ÷ 18 − 14?

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