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Two worked examples show what is done to a number. Do the same to a third.
Question 1 of 12
30 is to 91, and 19 is to 58. What is 22 to?
Two examples are given so that the rule is certain. 30 became 91 and 19 became 58: in both, the first number has been multiplied by 3, then 1 added. One example alone would not be enough — 30 to 91 could just as easily be adding 61, but that does not work for 19. Doing the same to 22 gives 67. Say what happened to the first number out loud before you touch the second.
The answer is A. Two examples are given so that the rule is certain. 30 became 91 and 19 became 58: in both, the first number has been multiplied by 3, then 1 added. One example alone would not be enough — 30 to 91 could just as easily be adding 61, but that does not work for 19. Doing the same to 22 gives 67. Say what happened to the first number out loud before you touch the second.
23 is to 49, and 24 is to 51. What is 11 to?
Two examples are given so that the rule is certain. 23 became 49 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 23 to 49 could just as easily be adding 26, but that does not work for 24. Doing the same to 11 gives 25. If doubling does not fit, try trebling, then halving.
The answer is C. Two examples are given so that the rule is certain. 23 became 49 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 23 to 49 could just as easily be adding 26, but that does not work for 24. Doing the same to 11 gives 25. If doubling does not fit, try trebling, then halving.
23 is to 67, and 17 is to 49. What is 29 to?
Two examples are given so that the rule is certain. 23 became 67 and 17 became 49: in both, the first number has been multiplied by 3, then 2 taken away. One example alone would not be enough — 23 to 67 could just as easily be adding 44, but that does not work for 17. Doing the same to 29 gives 85. Check whether something small was added or taken away after the multiplying.
The answer is D. Two examples are given so that the rule is certain. 23 became 67 and 17 became 49: in both, the first number has been multiplied by 3, then 2 taken away. One example alone would not be enough — 23 to 67 could just as easily be adding 44, but that does not work for 17. Doing the same to 29 gives 85. Check whether something small was added or taken away after the multiplying.
12 is to 36, and 5 is to 15. What is 16 to?
Two examples are given so that the rule is certain. 12 became 36 and 5 became 15: in both, the first number has been multiplied by 3. One example alone would not be enough — 12 to 36 could just as easily be adding 24, but that does not work for 5. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
The answer is A. Two examples are given so that the rule is certain. 12 became 36 and 5 became 15: in both, the first number has been multiplied by 3. One example alone would not be enough — 12 to 36 could just as easily be adding 24, but that does not work for 5. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
20 is to 43, and 24 is to 51. What is 29 to?
Two examples are given so that the rule is certain. 20 became 43 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 20 to 43 could just as easily be adding 23, but that does not work for 24. Doing the same to 29 gives 61. Say what happened to the first number out loud before you touch the second.
The answer is A. Two examples are given so that the rule is certain. 20 became 43 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 20 to 43 could just as easily be adding 23, but that does not work for 24. Doing the same to 29 gives 61. Say what happened to the first number out loud before you touch the second.
4 is to 1, and 20 is to 9. What is 30 to?
Two examples are given so that the rule is certain. 4 became 1 and 20 became 9: in both, the first number has been halved, then 1 taken away. One example alone would not be enough — 4 to 1 could just as easily be adding -3, but that does not work for 20. Doing the same to 30 gives 14. If doubling does not fit, try trebling, then halving.
The answer is B. Two examples are given so that the rule is certain. 4 became 1 and 20 became 9: in both, the first number has been halved, then 1 taken away. One example alone would not be enough — 4 to 1 could just as easily be adding -3, but that does not work for 20. Doing the same to 30 gives 14. If doubling does not fit, try trebling, then halving.
24 is to 75, and 28 is to 87. What is 17 to?
Two examples are given so that the rule is certain. 24 became 75 and 28 became 87: in both, the first number has been multiplied by 3, then 3 added. One example alone would not be enough — 24 to 75 could just as easily be adding 51, but that does not work for 28. Doing the same to 17 gives 54. If doubling does not fit, try trebling, then halving.
The answer is A. Two examples are given so that the rule is certain. 24 became 75 and 28 became 87: in both, the first number has been multiplied by 3, then 3 added. One example alone would not be enough — 24 to 75 could just as easily be adding 51, but that does not work for 28. Doing the same to 17 gives 54. If doubling does not fit, try trebling, then halving.
27 is to 53, and 6 is to 11. What is 30 to?
Two examples are given so that the rule is certain. 27 became 53 and 6 became 11: in both, the first number has been doubled, then 1 taken away. One example alone would not be enough — 27 to 53 could just as easily be adding 26, but that does not work for 6. Doing the same to 30 gives 59. If doubling does not fit, try trebling, then halving.
The answer is B. Two examples are given so that the rule is certain. 27 became 53 and 6 became 11: in both, the first number has been doubled, then 1 taken away. One example alone would not be enough — 27 to 53 could just as easily be adding 26, but that does not work for 6. Doing the same to 30 gives 59. If doubling does not fit, try trebling, then halving.
13 is to 24, and 14 is to 26. What is 29 to?
Two examples are given so that the rule is certain. 13 became 24 and 14 became 26: in both, the first number has been doubled, then 2 taken away. One example alone would not be enough — 13 to 24 could just as easily be adding 11, but that does not work for 14. Doing the same to 29 gives 56. Say what happened to the first number out loud before you touch the second.
The answer is C. Two examples are given so that the rule is certain. 13 became 24 and 14 became 26: in both, the first number has been doubled, then 2 taken away. One example alone would not be enough — 13 to 24 could just as easily be adding 11, but that does not work for 14. Doing the same to 29 gives 56. Say what happened to the first number out loud before you touch the second.
29 is to 87, and 25 is to 75. What is 6 to?
Two examples are given so that the rule is certain. 29 became 87 and 25 became 75: in both, the first number has been multiplied by 3. One example alone would not be enough — 29 to 87 could just as easily be adding 58, but that does not work for 25. Doing the same to 6 gives 18. If doubling does not fit, try trebling, then halving.
The answer is D. Two examples are given so that the rule is certain. 29 became 87 and 25 became 75: in both, the first number has been multiplied by 3. One example alone would not be enough — 29 to 87 could just as easily be adding 58, but that does not work for 25. Doing the same to 6 gives 18. If doubling does not fit, try trebling, then halving.
16 is to 34, and 13 is to 28. What is 4 to?
Two examples are given so that the rule is certain. 16 became 34 and 13 became 28: in both, the first number has been doubled, then 2 added. One example alone would not be enough — 16 to 34 could just as easily be adding 18, but that does not work for 13. Doing the same to 4 gives 10. If doubling does not fit, try trebling, then halving.
The answer is B. Two examples are given so that the rule is certain. 16 became 34 and 13 became 28: in both, the first number has been doubled, then 2 added. One example alone would not be enough — 16 to 34 could just as easily be adding 18, but that does not work for 13. Doing the same to 4 gives 10. If doubling does not fit, try trebling, then halving.
9 is to 28, and 22 is to 67. What is 27 to?
Two examples are given so that the rule is certain. 9 became 28 and 22 became 67: in both, the first number has been multiplied by 3, then 1 added. One example alone would not be enough — 9 to 28 could just as easily be adding 19, but that does not work for 22. Doing the same to 27 gives 82. Say what happened to the first number out loud before you touch the second.
The answer is E. Two examples are given so that the rule is certain. 9 became 28 and 22 became 67: in both, the first number has been multiplied by 3, then 1 added. One example alone would not be enough — 9 to 28 could just as easily be adding 19, but that does not work for 22. Doing the same to 27 gives 82. Say what happened to the first number out loud before you touch the second.
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