Math Benchmark Review

Miscellaneous

100

How is the numeral 56.012 written in words?

Fifty-six and twelve thousandths

200

Christina and Josh were estimating the number of compliments in the compliment jar. Josh estimated that there were 42 compliments. Christina estimated that there were 33 fewer than Josh did. Which number sentence can you use to find Christina's estimate?

42-33, because Josh estimated more than Christina

300

Ms. Guest used 5 and 4/5 pounds of chicken to make chicken soup for the party. Which improper fraction is equivalent to 5 and 4/5?

29/5, because 5x5=25 and 25+4=29, and the denominator stays the same

400

Mr. Toperzer's aunt and uncle are coming to visit him for Thanksgiving. They will stay for 9 days. They love yogurt! His aunt and uncle eat 3 cups of yogurt each day. The yogurt comes in packs of 8. How many packages does Mr. Toperzer need to be sure he has enough?

7, because: 2 people eating 3 per day = 6 per day 6 per day for 9 days = 54 yogurts 54 divided by 8 = 6 r6 you cannot buy "remainder" yogurts, so he really needs 7.

500

Mr. Keating has run 67 miles this month. Ms. Guest's friend Luke has run four times as many. How many miles have they run altogether?

335, because: Mr. K has run 67 Luke has run 67x4=268 altogether means we add 67+268, which equals 335

Comparing Fractions and Decimals

100

Anthony is 1/3 of the way to meeting his AR goals. Jennifer is 2/9 of the way. Who is closer to meeting their AR goals?

Anthony, because 1/3=3/9, and 3/9 is greater than 2/9

200

Cory and Jaylon are making pies to throw at Mr. Toperzer. Cory's recipe calls for 1/3 cup of sugar and Jaylon's recipe calls for 3/15. Which fraction is greater?

1/3, because 3/15 in simplest terms is 1/5 and 1/3 is greater than 1/5

300

Trelynn ate 1/3 of a cake on his birthday. His little brother ate 3/12 of the cake. Who ate more?

Trelynn, because 1/3=4/12, and 4/12 is greater than 3/12

400

Put these fractions and decimals in order from greatest to least. 8/8, 0.5, 1/3, .75

8/8, 0.75, 0.5, 1/3

500

Which decimal is equivalent to 3/25?

0.12

Problem Solving

100

Monica bought 32 necklaces for $7 each (including tax). She sold them to her friends for $9 each. How much profit did she make on all 32 necklaces?

$64, because she spent $224 on the necklaces and sold them for $288, and 288-224=64

200

An airplane has 45 rows of seats with 4 seats in each row. 115 people were sitting in the airplane. What is one way to find the number of empty seats?

Multiply 45 by 4 and subtract 115 from the product

300

Jose buys 17.6 gallons of milk in a week. He likes milk a whole lot! About how much milk does he buy in six weeks?

108, because 17.6 rounds to 18, and 18x6=108

400

Angel's neighbor has four children. Michael is 10 years old and is 2 years younger than Missy. Missy is 3 years older than Michelle, and Michelle is 5 years older than Mabel. Order the children from oldest to youngest.

Missy, Michael, Michelle, Mabel (They are 12, 10, 9, and 4).

500

Chocolates are on sale at Kroger. You can buy: 1 box for $2 or 1 dozen boxes for $23 You need four dozen boxes to give to your teachers. How much will you save if you buy them by the dozen instead of individually?

$4, because $2x48=96 and $23x4=92, and 96-92=4.

Reducing Fractions

100

You got four out of 20 wrong on the math test. What fraction did you miss, in simplest terms?

1/5

200

Ms. Hickey ran 24 miles last month. She ran 6 of them on a treadmill and the rest outside. Write a fraction that represents the number of miles she ran on a treadmill, in simplest terms.

1/4, because 6/24 divided by 6 is 1/4

300

Madison bought 48 bagels. 12 of them have chocolate chips. What fraction represents the chocolate bagels in simplest terms?

1/4, because 12/48 divided by 4 is 1/4

400

Jaylon bought some crickets to feed his pet lizard. Out of 54 crickets, 36 were brown. The rest were black. Write a fraction that represents the number of black crickets, in simplest terms.

1/3, because 54-36=18 and 18/54 divided by 18 is 1/3

500

Jennifer drew 120 smiley faces on the bookshelf. Ms. Guest was so mad! 30 of the smiley face were green. What fraction of them were green, in simplest terms?

1/4, because 30/120 divided by 30 is 1/4

Tables

100

Kemeria has $7.25 to buy snacks at the Snack Shack. Here are the prices.

Snow Cone: $1.00
Nachos: $2.00
Chips: $1.50
Granola Bar:$0.75

Which combination should she buy to use all of her money?

(Answers vary but must include at least one granola bar)

200

The table below describes the relationship between number of students and cookies eaten.

Students..........................................Cookies eaten
2.....................................................1
3.....................................................1.5
4.....................................................2
5.....................................................2.5

How many cookies does each student eat?

0.5. They are splitting the cookies in half

300

This table shows the fossils found by 3 scientists.

Mr. Schteckhenbaum..........................564
Dr. Whosit.......................................737
Ms. Alasha Williams..........................642

How many more fossils did Ms. Williams find than Mr. Schtekhenbaum?

78, because 642-564=78

400

The table below shows the relationship between number of classrooms and number of chairs.

Number of classrooms..........................Number of Chairs
2.........................................................40
4.........................................................80
5.........................................................100
7.........................................................140


In words, describe the relationship between the number of chairs and the number of classrooms.

The number of chairs is equal to the number of classrooms times twenty

500

The table below shows the relationship between days and the miles Anthony drove.

Days..................................................Miles driven
5.......................................................120
7.......................................................168
8.......................................................192
9.......................................................216

How many miles will Anthony drive in 10 days?

240, because the rule is days x 24 = miles, and 10x24=240