Math Counts - January 2025 Practice

Point Z is placed on segment AB such that AZ/ZB = 2/3. If the length of AZ is 10 inches, how many inches long is segment AB?

• 20

• 25

• 30

• 35

Tags

CCSS.HSG.CO.C.10

If C is a positive real number, which of these values is the greatest?

• The area of a square with perimeter C.

• The area of an equilateral triangle with perimeter C.

• The area of a regular octagon with perimeter C.

• The area of a circle with circumference C.

Tags

CCSS.2.G.A.1

The number below is irrational, but its digits follow a pattern: 0.12345678910111213141516... What is the 100th digit to the right of the decimal place in this number?

• 3

• 5

• 7

• 9

Tags

CCSS.8.NS.A.1

Solve for x. Express your answer as a common fraction: 1/2 + 1/4 + 1/8 = x/2.

• 5/4

• 6/4

• 7/4

• 8/4

Tags

CCSS.4.OA.C.5

Each of the five numbers 4, 8, 12, 16, 20 are to be placed in five squares so that the sum of the row equals the sum of the column. What is the smallest possible value for the horizontal or vertical sum?

• 28

• 30

• 32

• 34

The product of three consecutive integers is to be divided by six, as shown: N(N + 1)(N + 2)/6. Which statement is true?

• The result will always be a positive integer.

• The result will always be an integer, but it might not be positive.

• The result will always be a rational number, but it might not be an integer.

• The result will always be a real number, but it might not be rational.

Tags

CCSS.8.EE.C.7B

The logo of a particular company contains a square completely contained within a circle. The area within the circle which is outside the square is exactly twice the area of the square. If the square has sides measuring 5 cm, approximately how many cm long is the radius of the circle? Round to the nearest hundredth.

• 4.50 cm

• 4.72 cm

• 4.89 cm

• 5.00 cm

Tags

CCSS.7.G.B.4

You buy a $250 bicycle and use two coupons. Coupon A is for $30 off the price, and Coupon B takes 10% off the price. If the coupons can be applied in any order, what is the positive difference, in dollars, between the highest and lowest price you might end up paying?

• $2.50

• $3.00

• $5.00

• $10.00

In voting for the mascot of Olathe West High School, 210 students voted for parrots, 375 students voted for owls, and 28% of the students voted for pterodactyls. The number of students who voted for pterodactyls is four times as large as the number who voted for griffons. How many total votes were cast?

• 850 votes

• 875 votes

• 900 votes

• 950 votes

Tags

CCSS.7.EE.B.3

A rectangular prism has edges measuring 8, 9, and 12 units long. How many units long is a diagonal of the prism running from one corner to the opposite corner?

• 14

• 15

• 16

• 17

Tags

CCSS.8.G.B.7