Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 961 · 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 15 − 15 ÷ 7 × 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 20 × 12 ÷ 19?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 − 6 × 14?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 9 × 5?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 16 − 11 × 18?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 5 × 3 ÷ 10?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 ÷ 6 − 20?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 13 + 20 × 5?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 6 + 7 ÷ 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 5 − 5 × 16?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 17 + 9 ÷ 12?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 9 ÷ 5 × 2?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 × 8 − 10?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 2 × 15 − 4?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 14 × 14 + 2?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 11 × 6 + 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 − 6 ÷ 11?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 × 6 ÷ 2?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 17 + 2 ÷ 3?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 4 + 10 × 2?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 − 2 + 2?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 20 + 3 × 17?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 19 × 7 ÷ 3?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 17 × 17 − 18?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 16 ÷ 11 × 4?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 16 ÷ 20 + 19?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 15 × 12 ÷ 10?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 × 11 ÷ 12?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 13 ÷ 20 × 19?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 20 ÷ 10 + 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 6 ÷ 18 × 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 20 + 10 − 17?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 5 ÷ 6 − 8?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 − 4 × 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 11 − 7 ÷ 20?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 18 × 18 ÷ 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 18 + 6 ÷ 8?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 12 − 8 ÷ 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 16 − 12 + 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 ÷ 14 + 17?

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