Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 946 · 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 8 ÷ 19 + 7 − 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 4 ÷ 20 + 15?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 9 + 9 ÷ 12?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 20 + 6 ÷ 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 10 × 10 + 10?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 ÷ 8 × 9?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 12 − 11 + 8?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 − 9 + 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 − 13 + 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 10 ÷ 14 + 11?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 − 20 × 17?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 14 ÷ 8 + 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 13 × 13 ÷ 2?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 − 13 ÷ 3?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 3 − 19 ÷ 11?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 5 ÷ 3 − 14?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 2 ÷ 5 − 2?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 + 10 × 10?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 + 5 − 12?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 2 ÷ 9 × 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 16 × 8 − 17?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 2 ÷ 6 × 3?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 5 × 6 ÷ 13?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 16 ÷ 8 − 11?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 10 × 17 + 7?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 7 ÷ 13 × 14?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 16 − 6 + 18?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 17 ÷ 17 × 4?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 8 ÷ 2 + 16?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 3 + 2 ÷ 15?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 9 ÷ 18 + 18?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 × 16 ÷ 14?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 16 + 11 × 20?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 17 ÷ 18?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 4 + 5 ÷ 4?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 16 + 19 ÷ 3?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 15 + 2 × 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 ÷ 20 × 15?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 2 ÷ 4 × 18?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 13 × 3 ÷ 5?

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