Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 716 · 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 16 ÷ 6 − 4 + 14?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 6 − 6 × 10?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 2 − 10 + 8?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 7 ÷ 10 × 17?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 8 + 2 × 9?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 10 × 5 − 18?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 2 − 3 + 2?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 3 + 19 ÷ 4?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 2 + 10 − 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 5 ÷ 12 − 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 16 ÷ 6 − 20?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 14 ÷ 12 × 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 3 + 7 ÷ 8?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 14 − 8 + 12?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 + 3 ÷ 18?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 3 − 12 + 4?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 ÷ 13 × 15?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 + 12 ÷ 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 14 − 16 + 6?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 ÷ 17 × 8?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 ÷ 15 + 4?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 − 4 × 17?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 4 − 11 + 15?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 12 + 17 ÷ 10?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 − 18 × 9?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 7 ÷ 16 × 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 7 ÷ 15 + 8?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 5 ÷ 18 − 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 7 × 20 + 2?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 + 11 × 11?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 3 + 4 − 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 18 ÷ 18 + 16?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 7 − 2 + 8?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 18 + 2 × 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 5 − 5 × 4?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 − 19 × 12?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 × 5 − 7?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 11 − 11 + 20?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 20 ÷ 3 − 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 19 × 15 − 3?

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