Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 148 · 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 4 ÷ 18 + 12 − 12?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 20 × 4 + 15?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 ÷ 8 × 4?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 18 − 2 ÷ 17?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 19 ÷ 4 − 2?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 5 ÷ 16 − 4?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 14 − 3 × 6?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 × 9 + 5?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 16 × 4 + 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 14 ÷ 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 − 2 × 10?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 12 − 15 ÷ 11?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 10 + 5 × 5?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 15 × 10 ÷ 5?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 16 − 6 ÷ 4?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 15 ÷ 2 + 13?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 7 + 16 × 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 3 − 12 × 19?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 + 6 × 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 4 × 15 ÷ 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 9 − 6 × 9?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 15 − 6 + 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 6 × 17 − 15?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 12 + 20 × 10?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 10 ÷ 12 × 3?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 11 ÷ 8 × 4?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 16 ÷ 2 × 14?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 × 18 + 14?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 15 ÷ 19 − 16?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 20 + 3 × 15?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 2 ÷ 2 × 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 10 × 14 ÷ 18?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 13 + 8 ÷ 12?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 17 ÷ 15 × 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 11 × 4 ÷ 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 9 − 9 ÷ 15?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 × 4 + 11?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 15 + 15 ÷ 15?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 20 − 4 × 18?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 5 ÷ 9 + 10?

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