Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 947 · 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 7 ÷ 6 + 10 × 10?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 ÷ 17 + 18?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 18 − 6 + 16?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 10 + 5?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 9 + 13 × 13?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 9 × 10 − 5?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 10 − 17 + 5?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 ÷ 8 − 2?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 × 4 ÷ 6?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 ÷ 5 × 14?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 19 − 5 ÷ 12?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 16 + 4 × 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 13 ÷ 4 + 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 9 × 4 − 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 18 − 4 ÷ 15?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 18 − 2 × 7?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 10 − 6 ÷ 9?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 14 − 16 × 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 11 − 20 + 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 17 × 17 − 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 4 ÷ 2 + 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 13 ÷ 4 + 10?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 20 × 5 ÷ 15?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 ÷ 18 × 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 × 19 + 12?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 − 8 ÷ 14?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 20 ÷ 13 × 3?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 10 × 13 ÷ 13?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 9 × 2?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 6 × 19 ÷ 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 + 10 ÷ 19?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 13 − 19 ÷ 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 × 19 + 15?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 − 20 ÷ 11?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 10 + 8 × 20?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 ÷ 20 + 19?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 6 − 6 × 9?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 16 × 13 − 4?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 − 2 × 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 12 ÷ 6 − 5?

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