Can you do these math problems?

All Questions are based on NYS Common Core Standards.

KINDERGARTEN

Which is less?

9 6

What shape is this?

Fill in the missing numbers:

12, 10, , 6, , 2, 0

First Grade

18 - 9 = __

Fill in the missing numbers:

24, 26, , 30,

George has 5 pieces of candy in his lunch. Fred has 2 fewer candies than George. How many candies does Fred have?

SECOND GRADE

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 = __

567, 559, , 543, 535,

At a party, there are 568 guests but 435 meals. How many more meals are needed?

THIRD GRADE

98 + 98 + 98 = __

20 ÷ n = 5 and n × 5 = 20. What is n?

There are 3 large picture frames. Each picture frame contains exactly 2 pictures. What fraction represents just one picture out of all the pictures in the frames?

Answers? Looking for more? Here you go!

FOURTH GRADE

Count by 1 1/4 from 0 to 5.

The area of Ken’s rectangular garden is 480 square feet. The garden is 24 feet wide. What is the length of fencing Ken will need to buy in order to fence in the garden completely on all four sides?

Jim baked sugar cookies and peanut butter cookies. He baked 8 sugar cookies and 3 times as many peanut butter cookies. What is the total number of cookies that Jim baked?

Answers? Looking for more? Here you go!

FIFTH GRADE

Pick the fraction with the greatest value:

21/22 31/40 24/25

How many times greater is the value of the digit 5 in 583,607 than the value of the digit 5 in 362,501?

Carson needs to purchase 5.6 meters of tape for a project. If each roll of tape contains 80 cm and costs $5, what is the total cost of the tape that Carson must buy?

Answers? Looking for more? Here you go!

SIXTH GRADE

Halfway through the second half of the game, how much of the game is left?

A grocery store sign indicates that bananas are 6 for $1.50, and a sign by the oranges indicates that they are 5 for $3.00. Find the total cost of buying 2 bananas and 2 oranges.

What is the value of 2x^3 + 4x^2 – 3x^2 – 6x when x = 3?

Answers? Looking for more? Here you go!

SEVENTH GRADE

How much is 4.5% of 350?

Appliances at Discount City Store are on sale for 70% of the original price. Eli has a coupon for an 18% discount on the sale price. If the original price of a microwave oven is $500, how much will Eli pay for the oven before tax?

When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If John can only spend $170 for the computer help this year, what is the maximum number of help sessions he can use this year?

Answers? Looking for more? Here you go!

Eighth GrADE

A computer can do 1000 operations in 4.5 × 10–6 seconds. How many operations can be done by this computer in one hour? Express your answer in scientific notation.

David currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 3 feet shorter than twice its width. He decides that the perimeter should be 60 feet. Determine the dimensions, in feet, of his new garden.

A trainer for a professional football team keeps track of the amount of water players consume throughout practice. The trainer observes that the amount of water consumed is a linear function of the temperature on a given day. The trainer finds that when it is 90°F the players consume about 220 gallons of water, and when it is 76°F the players consume about 178 gallons of water. Write a linear function to model the relationship between the gallons of water consumed and the temperature.

Answers? Looking for more? Here you go!

ALGEBRA I

Keith determines the zeros of the function f(x) to be -6 and 5. What could be Keith's function?

(1) f(x) = (x + 5)(x + 6)

(2) f(x) = (x + 5)(x - 6)

(3) f(x) = (x - 5)(x + 6)

(4) f(x) = (x - 5)(x - 6)

Given 2x + ax - 7 > -12, determine the largest integer value of a when x = -1.

Draw the graph of the equation y = -(3/4)x + 3.

Answers? Looking for more? Here you go!

GEOMETRY

A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot. What is the weight, in pounds, of the contents in the container?

The equation of a circle is x^2 + y^2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

A flagpole casts a shadow 16.60 meters long. Tim stands at a distance of 12.45 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 1.65 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.

Answers? Looking for more? Here you go!

ALGEBRA II

What are the zeros for f(x) = x^4 - 4x^3 - 9x^2 +36x.

The heights of women in the United States are normally distributed with a mean of 64 inches and a standard deviation of 2.75 inches. What is the percent of women whose heights are between 64 and 69.5 inches, to the nearest whole percent?

A circle centered at the origin has a radius of 10 units. The terminal side of an angle, θ, intercepts the circle in Quadrant II at point C. The y-coordinate of point C is 8. What is the value of cos θ?

Answers? Looking for more? Here you go!

KINDERGARTEN

Which is less?

9 6

What shape is this?

Fill in the missing numbers:

12, 10, __, 6, __, 2, 0

First Grade

18 - 9 = __

Fill in the missing numbers:

24, 26, __, 30, __

George has 5 pieces of candy in his lunch. Fred has 2 fewer candies than George. How many candies does Fred have?

SECOND GRADE

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 = __

567, 559, __, 543, 535, __

At a party, there are 568 guests but 435 meals. How many more meals are needed?

THIRD GRADE

98 + 98 + 98 = __

20 ÷ n = 5 and n × 5 = 20. What is n?

There are 3 large picture frames. Each picture frame contains exactly 2 pictures. What fraction represents just one picture out of all the pictures in the frames?

FOURTH GRADE

Count by 1 1/4 from 0 to 5.

The area of Ken’s rectangular garden is 480 square feet. The garden is 24 feet wide. What is the length of fencing Ken will need to buy in order to fence in the garden completely on all four sides?

Jim baked sugar cookies and peanut butter cookies. He baked 8 sugar cookies and 3 times as many peanut butter cookies. What is the total number of cookies that Jim baked?

FIFTH GRADE

Pick the fraction with the greatest value:

21/22 31/40 24/25

How many times greater is the value of the digit 5 in 583,607 than the value of the digit 5 in 362,501?

Carson needs to purchase 5.6 meters of tape for a project. If each roll of tape contains 80 cm and costs $5, what is the total cost of the tape that Carson must buy?

SIXTH GRADE

Halfway through the second half of the game, how much of the game is left?

A grocery store sign indicates that bananas are 6 for $1.50, and a sign by the oranges indicates that they are 5 for $3.00. Find the total cost of buying 2 bananas and 2 oranges.

What is the value of 2x^3 + 4x^2 – 3x^2 – 6x when x = 3?

SEVENTH GRADE

How much is 4.5% of 350?

Appliances at Discount City Store are on sale for 70% of the original price. Eli has a coupon for an 18% discount on the sale price. If the original price of a microwave oven is $500, how much will Eli pay for the oven before tax?

Eighth GrADE

A computer can do 1000 operations in 4.5 × 10–6 seconds. How many operations can be done by this computer in one hour? Express your answer in scientific notation.

David currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 3 feet shorter than twice its width. He decides that the perimeter should be 60 feet. Determine the dimensions, in feet, of his new garden.

ALGEBRA I

Keith determines the zeros of the function f(x) to be -6 and 5. What could be Keith's function?

(1) f(x) = (x + 5)(x + 6)

(2) f(x) = (x + 5)(x - 6)

(3) f(x) = (x - 5)(x + 6)

(4) f(x) = (x - 5)(x - 6)

Given 2x + ax - 7 > -12, determine the largest integer value of a when x = -1.

Draw the graph of the equation y = -(3/4)x + 3.

GEOMETRY

The equation of a circle is x^2 + y^2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

A flagpole casts a shadow 16.60 meters long. Tim stands at a distance of 12.45 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 1.65 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.

ALGEBRA II

What are the zeros for f(x) = x^4 - 4x^3 - 9x^2 +36x.

The heights of women in the United States are normally distributed with a mean of 64 inches and a standard deviation of 2.75 inches. What is the percent of women whose heights are between 64 and 69.5 inches, to the nearest whole percent?

A circle centered at the origin has a radius of 10 units. The terminal side of an angle, θ, intercepts the circle in Quadrant II at point C. The y-coordinate of point C is 8. What is the value of cos θ?

12, 10, , 6, , 2, 0

24, 26, , 30,

567, 559, , 543, 535,