Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 310 · 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 13 ÷ 7 × 9 + 3?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 15 ÷ 12 + 12?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 16 + 20 × 10?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 8 + 5 × 11?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 6 × 3 − 15?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 7 − 4 ÷ 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 14 ÷ 6 − 8?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 20 + 7 − 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 × 19 ÷ 11?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 ÷ 5 − 17?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 ÷ 8 − 20?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 19 + 19 × 3?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 13 − 8 + 17?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 14 − 6 + 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 3 ÷ 2 × 2?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 15 ÷ 20 + 11?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 8 ÷ 18 × 8?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 ÷ 7 × 3?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 17 × 11 − 12?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 16 + 4 − 5?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 13 ÷ 15 × 5?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 14 × 14 − 3?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 4 × 2 ÷ 15?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 2 ÷ 2 − 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 10 ÷ 8 − 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 − 19 ÷ 15?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 4 − 2 ÷ 14?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 × 10 − 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 10 − 11 + 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 8 ÷ 6 × 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 20 ÷ 14 × 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 16 × 20 + 20?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 12 − 16 ÷ 7?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 + 19 − 10 × 16?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 3 × 4 + 10?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 17 − 13 ÷ 3?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 20 × 20 + 20?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 16 ÷ 7 − 20?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 12 ÷ 20 − 5?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 ÷ 10 × 4?

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