Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 914 · 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 5 × 5 − 15 + 10?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 8 − 12 × 17?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 16 + 16 − 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 × 6 − 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 − 9 × 4?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 16 − 18 ÷ 13?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 12 − 12 × 10?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 × 9 + 19?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 14 − 3?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 13 ÷ 3 × 14?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 2 − 2 + 14?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 2 − 16 ÷ 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 12 − 12 + 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 18 − 17 × 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 16 − 4 ÷ 14?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 2 × 14 − 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 × 10 + 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 5 + 5 − 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 10 − 3 ÷ 19?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 5 × 17 ÷ 14?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 9 × 19 − 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 19 × 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 16 ÷ 14 + 7?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 2 ÷ 7 × 14?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 − 12 ÷ 18?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 8 × 3 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 20 + 7 × 20?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 11 ÷ 3 × 18?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 8 × 8 + 4?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 20 − 5 × 13?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 14 − 12 ÷ 14?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 ÷ 16 − 5?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 11 − 20 + 20?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 10 ÷ 13 × 20?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 × 17 ÷ 7?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 10 − 17 × 10?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 11 ÷ 9 + 4?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 11 × 6 ÷ 11?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 8 + 9 − 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 17 + 17 ÷ 2?

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