Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 929 · 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 6 + 16 × 9 − 9?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 8 ÷ 14 − 20?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 17 + 6 × 19?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 7 × 13?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 2 − 13 ÷ 6?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 10 + 5 − 5?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 14 − 11 × 2?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 9 ÷ 14 × 18?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 13 − 16 × 4?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 5 ÷ 19 × 11?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 7 + 2?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 20 + 9 − 9?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 × 19 ÷ 19?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 2 + 6 ÷ 8?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 11 − 2 × 2?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 ÷ 10 − 10?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 − 16 × 5?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 4 ÷ 11 − 19?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 15 + 19 × 14?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 16 ÷ 4 − 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 10 ÷ 6 − 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 ÷ 12 + 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 − 7 + 16?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 16 − 8 ÷ 19?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 6 × 5 ÷ 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 − 18 + 18?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 16 × 14 − 14?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 − 19 + 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 15 × 20 ÷ 15?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 14 + 3 ÷ 18?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 × 16 ÷ 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 15 ÷ 12 × 5?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 + 12 − 6?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 20 + 18?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 4 + 12 ÷ 4?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 10 ÷ 7 + 14?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 5 ÷ 13 × 13?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 18 × 8 + 8?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 15 + 16 × 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 20 × 20 − 6?

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