Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 622 · 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 × 16 + 3 ÷ 19?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 15 ÷ 17 − 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 × 4 ÷ 5?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 7 × 15 + 9?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 12 + 10 − 15?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 3 − 7 + 9?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 7 − 7 ÷ 9?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 8 ÷ 17 × 17?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 2 × 20 − 20?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 3 − 2 × 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 × 9 − 11?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 4 − 4 × 2?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 2 − 9 ÷ 2?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 16 + 2 − 18?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 15 × 10 ÷ 19?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 2 + 20 ÷ 5?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 16 + 16?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 2 ÷ 7 × 13?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 + 6 × 3?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 17 − 20 ÷ 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 10 + 8 ÷ 9?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 10 ÷ 3 + 5?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 × 2 ÷ 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 18 ÷ 17 × 15?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 10 − 20 × 2?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 15 − 12 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 3 ÷ 2 × 20?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 2 × 16 − 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 − 4 + 19?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 19 + 19 − 16?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 18 ÷ 12 × 5?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 14 × 9 ÷ 15?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 9 ÷ 7 − 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 2 − 9 ÷ 5?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 4 − 2 + 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 × 4 ÷ 6?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 × 16 − 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 ÷ 14 × 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 4 + 7 ÷ 19?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 14 − 14 + 4?

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