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Quantitative Number Puzzles Flashcards

6 cards from real CogAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Quantitative Number Puzzles flashcards as text

  1. Which number should replace the question mark to make the equation true? 14 + 19 = ? + 8

    Answer: 25

    The goal is to balance both sides of the equation. First, calculate the value on the left side: 14 + 19 = 33. To make the right side equal to 33, you must find a number that, when added to 8, results in 33. The calculation is 33 - 8 = 25. Therefore, 25 is the correct number to replace the question mark.

  2. Look at the two pairs of numbers: [8 → 4] [12 → 6]. Following the same rule, what number should complete the third pair: [18 → ?]

    Answer: 9

    The rule for each pair of numbers is to divide the first number by 2 to get the second number. In the first pair, 8 ÷ 2 = 4. In the second pair, 12 ÷ 2 = 6. Applying this rule to the third pair, 18 ÷ 2 = 9.

  3. What number comes next in the following series? 5, 11, 17, 23, ?

    Answer: 29

    The pattern in this series is to add 6 to the previous number to get the next number. 5 + 6 = 11; 11 + 6 = 17; 17 + 6 = 23. Therefore, the next number is 23 + 6 = 29.

  4. A scenario is presented where you must balance two sides of a scale. On one side, you have weights of 7 and 16. On the other side, you have a weight of 9 and need to add one more. Which of the following weights should you add to balance the scale?

    Answer: 14

    This is a number puzzle presented as a scenario. The total weight on the first side is 7 + 16 = 23. To balance the scale, the total weight on the second side must also be 23. Since one weight is 9, the missing weight is 23 - 9 = 14.

  5. Which of the following number pairs follows the same rule as the first two? [6 → 36] [8 → 64]

    Answer: [9 → 81]

    The rule demonstrated in the first two pairs is that the second number is the square of the first number (the number multiplied by itself). 6 x 6 = 36, and 8 x 8 = 64. Following this rule, 9 x 9 = 81.

  6. Solve for the missing number in this puzzle: 4 x 9 = 6 x ?

    Answer: 6

    To solve this puzzle, first calculate the left side of the equation: 4 x 9 = 36. The right side of the equation must also equal 36. You need to find what number, when multiplied by 6, gives 36. The answer is 36 ÷ 6 = 6.