Indices 1
Word Problem I
Patterns, Relationships, & Algebraic Thinking
Word Problem II
Measurement
100

36x =6

Ans: 1/2

100

Three consecutive numbers have a sum of 75. What is the smallest number?

Ans: The smallest number is 24.

100

A store’s records showed that during a one-month period, 3 gallons of milk were sold for every 2 boxes of cereal sold. If 2,864 boxes of cereal were sold that month, this is the number of gallons of milk that were sold?

Ans: 4,296 gal 

100

Neal ate four more than three times the number of cookies as Claire. If they ate 44 cookies together, how many cookies did Neal eat?

Ans: Neal ate 34 cookies.

100

The area of square ABCD is 400 square centimeters. This is the area of a square that has a side length that is one-half of the side length of square ABCD.

Ans: 100cm2

200

3x * 3= 81. What is the value of X?

Ans= Zero (0)

200

If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?

Ans: Austin needs to score a 98. 

200

Caroline used the following formula to determine t, the sales tax on p, the dollar amount of a customer’s total purchase at the candle shop where Caroline works. t = 0.0825p A customer bought a box of red candles for $15 and 2 scented candles for $20 each. This is the sales tax on the customer’s purchase (rounded to the nearest cent)?

Ans: $4.54 

200

The length of the Princeton basketball court is five more than twice the width. If the perimeter of the court is 112 meters, how long is the court?

Ans: The length is 39 meters.

200

Matt's father has a computer desk in his study. The desktop is 60 inches long and 24 inches wide. Matt's father wants to build a proportionately smaller replica of his desk for Matt to use in his bedroom. If the length of Matt's desktop will be 45 inches, then this will be the perimeter?

126 in

300

Simplify the expression: (p3)0 × (p1/2)4.

 Ans: p2 

300

If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?

Ans: The longest side is 19 cm. 

300

Ashley's mother bought some bottles of juice for her family. The juice was on sale for 3 bottles for $4.50. This is how much Ashley's mother spent for 8 bottles of juice?

Ans: $12 

300

If three consecutive even numbers have a sum of 84, what is the largest number?

Ans: The largest number is 30.

300

If triangle ABC has a base of 20 ft and area of 400 square feet, and if triangle DEF is similar and has a base of 10 ft, this would be the area of triangle DEF?

Ans: 100 square feet

400

If 17x = 4913, find the value of 22x-1.

Ans: 32

400

Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?

Ans: He will pay $410. 

400

This is an equation that matches the following statement. Six less than four times a number is two more than three times that number.

Ans: 4n - 6 = 3n + 2

400

Spencer, Neal, and Claire go lastertagging. Neal gets five more than two times the number of kills as Spencer. Claire gets twice as many kills as Neal. If the three of us had 92 kills altogether, how many kills did Claire get?

Ans: Claire got 54 kills. 

400

A box of frozen vegetables weighing 144 kg 780 g was delivered at a grocery shop. If there were 15 packets of equal weight inside the box, what was the weight of each bag?

Ans: 9 kg 652 g

500

Evaluate 1252/3 × 6253/4

Ans: 3125 

500

Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?

Ans: 42 points

500

This is the 7th term of the following sequence? -4,-6,-8,.....-2n-2,...........

Ans: -16 

500

If the average of four consecutive even numbers is 49, what are all four numbers?

Ans: 46, 48, 50, 52 

500

If 9 cups of equal mass are made out of 1 kg 530 g of silver, what is the mass of each cup?

0.17 kg