Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 570 · 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 9 ÷ 5 − 2 × 3?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 20 − 19 + 19?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 9 ÷ 10 × 4?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 3 × 3 − 3?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 ÷ 8 × 16?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 5 − 13 ÷ 17?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 7 × 4 − 13?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 3 ÷ 5 × 8?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 2 + 2 − 10?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 12 − 12 × 6?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 2 ÷ 19 × 14?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 11 − 8 × 19?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 5 ÷ 11 + 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 12 ÷ 19 + 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 10 − 11 + 14?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 5 − 8 + 19?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 20 − 4 ÷ 10?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 6 + 20 × 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 ÷ 7 − 8?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 16 + 13 ÷ 14?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 11 × 20?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 + 2 − 13?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 5 ÷ 15 × 4?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 20 + 10 × 4?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 14 ÷ 20 + 10?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 4 ÷ 18 + 4?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 4 + 4 × 17?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 5 ÷ 3 + 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 17 ÷ 18 + 9?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 7 + 4 − 17?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 × 13 ÷ 15?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 16 − 20 + 19?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 7 − 10 + 6?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 19 × 11 ÷ 6?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 ÷ 12 × 19?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 3 − 19 ÷ 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 4 + 6 − 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 5 − 3 ÷ 13?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 + 15 ÷ 15?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 + 6 × 6?

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