## Questions and Answers

In the sequence, the 259th letter is a ______

Y

The probability that the arrow stops on the largest section is ______%

50

The 2022 Gauss Contest Solutions are found on Page ______

15

The second Wednesday of a month occurs ______ days following the first Wednesday

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10 blocks of 26 letters gives a sequence of ______ letters

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There are 10 two-digit numbers whose tens digit is a ___

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The number of two-digit numbers that have at least one digit that is a ___ is 18

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The area of each of the three identical squares is 49 m², therefore the area of W XYZ is 147 m², each square has an area of ___ m²

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The perimeter of W XYZ is 56 m and is comprised of 8 such side lengths, thus the length of each side of the three identical squares is 7 m, each square has a side length of ___ m

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The first Wednesday of a month must occur on one of the first 7 days of a month, the second Wednesday of a month occurs 7 days following the first Wednesday, and the third Wednesday of a month occurs 14 days following the first ___.

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The forecast wind speed is less than 20 km/h on Monday, Tuesday, Wednesday, and ______.

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Since there is no integer n for which 15 × n = 25, then 25 is not a multiple of ______.

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Ordering the given list of integers from least to greatest, we get −9, −7, 0, 9, ______.

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If 2n = 14, then n = 2. When n = 7, the value of 10n is 10 × 7 = ______.

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There are 6 possible outcomes when Tallulah rolls a single standard die once. 1 2 =. ______.

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Between 9 a.m. and 10 a.m., Ryan cut ___ of his lawn.

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Ryan cut ___ of his lawn in 20 minutes.

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At 10 a.m., Ryan had cut ___ of his lawn.

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Ryan finished cutting his lawn at ___ a.m.

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Begin by placing four tiles in the squares of the first ___

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The largest possible value of p is 20, when w is equal to ______

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Katharina placed the 8 letters in a mixed-up order around the circle. Jaxon begins at position 1 and writes down every third letter that he has not yet written down. The first 3 letters Jaxon writes down are the letters in positions 1, 4 and ______

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Continuing to move clockwise around the circle, the next three positions at which letters have not yet been written down are positions 8, 2 and ______, and so Jaxon writes down the letter in position 3

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At this point, Jaxon has written the letters in positions 1, 4, 7, 3, and ______

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At this point, only the letters in positions 2 and ______ have not been written

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A palindrome greater than 10 000 and less than 100 000 is a 5-digit positive integer of the form abcba, where a, b and c are digits and a ≠ 0. The digit a is equal to 2, 4, ______ or 8 (recall a ≠ 0).

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A positive integer is a multiple of 9 exactly when the sum of its digits is a multiple of 9, and thus a + b + c + b + a or 2a + 2b + c is a multiple of 9.

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When a = 2, we require that 2a + 2b + c = 4 + 2b + c be a multiple of 9. The smallest possible multiple of 9 that 4 + 2b + c can equal is ___

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The first Wednesday of a month must occur on one of the first 7 days of a month, the second Wednesday of a month occurs 7 days following the first Wednesday, and the third Wednesday of a month occurs 14 days following the first ___

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10 blocks of 26 letters gives a sequence of ___ letters

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The number of two-digit numbers that have at least one digit that is a ___ is 18

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There are 6 possible outcomes when Tallulah rolls a single standard die once. 1 2 =. ___

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The forecast wind speed is less than 20 km/h on Monday, Tuesday, Wednesday, and ___

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There are 10 two-digit numbers whose tens digit is a ___.

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The second Wednesday of a month occurs ___ days following the first Wednesday

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If the value of P is less than 9, then QR + P P P + P P P is at most 99 + 888 + 888 = 1875. Since the given sum is 2022, the value of P cannot be less than 9 and thus must equal ___

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When a standard fair coin is tossed three times, there are 8 possible outcomes. If H represents head and T represents tail, these 8 outcomes are: HHH, HHT, HTH, THH, HTT, THT, TTH, and ___. Of these 8 outcomes, there are exactly 2 whose outcomes are all the same (HHH and TTT). Therefore, the probability that the three outcomes are all the same is ___

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Adding 14 days to each of the possible dates for the first Wednesday of the month, we get that the third Wednesday of a month must occur on the 15th, 16th, 17th, 18th, 19th, 20th, or 21st of that month. Of the given answers, the public holiday cannot occur on the 22nd of that month. Therefore, the third Wednesday of the month cannot be on the ___

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If the 2022 Gauss Contest Solutions state that the probability that the three outcomes of coin tossing are all the same is 1/4 or 0.25, then the answer given must be ___

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The number of two-digit numbers that have at least one digit that is a 9 is ___.

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The circumference of Bindu's bike tires is 60π cm.

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The sum of all 8 numbers in the list is 216.

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The largest number in the list is paired with the third smallest number.

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The mean (average) temperature recorded was 20°C.

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The area of polygon WXYZ is 147 m².

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If a number has two equal digits, it will satisfy the given property.

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The number of numbers that satisfy the given property is 126.

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Student A reports correctly on 90% of the samples that contain blueberry.

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The area of each of the three identical squares is 49 m².

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The sum of values for a in the table is 42.

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A two-digit number with two equal digits cannot have the sum of its digits greater than 9.

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The number of two-digit numbers with two equal digits and the third digit as 0 is 18.

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A two-digit number with two equal digits and the third digit as the sum of the two equal digits can have 6 as one of the equal digits.

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The area of each of the three identical squares is 49 m², therefore the area of WXYZ is 147 m².

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The product of the digits in a two-digit number with two equal digits and the third digit as 0 is always 0.

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The sum of the increases (or decreases) in the sale of bobbleheads between 2016 and 2017, and 2018 and 2019 is 55.

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The difference between the perimeter of the regular pentagon and the total number of dots labelled on the faces shown is 2 cm.

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The area of each identical square, given that the area of WXYZ is 147 m², is 49 m².

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The product of the individual probabilities of choosing each of the 3 balls G, Y, or V is 50.

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The average number of bobbleheads sold in 2016, 2017, 2018, 2019, 2020, and 2021 is 45.

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The sum of all numbers from 6 to 10 is greater than the sum of all numbers from 11 to 15.

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The difference between 25 and 17 is less than the difference between 40 and 28.

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The area of a polygon with sides WX, XY, YZ, and WZ is 196 m².

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The product of 12 and 9 is equal to the product of 6 and 18.

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The average of 5, 8, and 12 is greater than the average of 3, 7, and 10.

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The sum of all values of m from 6 to 20 inclusive having a units digit of 7 or 2 is 36.

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The difference between the values of 7679 + 63m when m is equal to 7 and 12 is 315.

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The area of polygon WXYZ is 196 m².

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The product of the three students' reported numbers of blueberry samples between 8000 and 9000 is a multiple of 5.

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The average value of the three numbers reported by the students as containing blueberry is 12.

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When n = 20, the value of x is 0.

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For n = 20, the value of y can be either -10 or 2.

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When n = 20, the value of z is 8.

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When n = 30, the percentage of students who participated in at least canoeing and swimming is 40%.

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For n = 40, the sum of all positive integers k is 56.7.

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The area of polygon WXYZ is 147 m².

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The mean (average) temperature recorded was 25°C.

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The sum of all positive integers k for values of n greater than 100 is less than 200.

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When n = 80, the value of x is greater than y.

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The product of k and n for n = 100 is approximately 99.

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Match the following operations with their results:

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Match the following pairs with their sum:

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Match the following numbers with their product:

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Match the following shapes with their areas:

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Match the following sets of temperatures with their averages:

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Match the following mathematical operations with their results:

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Match the following geometric shapes with their areas:

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Match the following pairs of numbers with their product:

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Match the following sets of numbers with their sum:

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Match the following groups of numbers with their average:

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Match the following operations with their results:

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Match the following pairs with their differences:

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Match the following polygons with their areas:

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Match the following pairs with their products:

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Match the following sets of numbers with their averages:

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Match the following numbers with their sum:

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Match the following numbers with their difference:

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Match the following pairs with the area of a polygon:

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Match the following numbers with their product:

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Match the following sets of numbers with their average:

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Match the following pairs of numbers with their sum:

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Match the following pairs of numbers with their difference:

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Match the following pairs of numbers with their product:

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Match the following pairs of numbers with their average:

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Match the following pairs of numbers with their sum:

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Match the following pairs of numbers with their difference:

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Match the following pairs of numbers with their product:

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Match the following pairs of numbers with their average:

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Match the following numbers with their sum:

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Match the following numbers with their difference:

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Match the following pairs with their sum:

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Match the following numbers with their product:

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Match the following numbers with their sum:

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Match the following numbers with their average:

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Match the following pairs of numbers with their difference:

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Match the following numbers with their product:

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Match the following polygons with their area:

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Match the following numbers with their average:

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