Math Test Prep with Strategies in Explanations

Determine the product of 36 and 24.

• 60

• 864

• 216

• 634

Answer explanation

We know since they used the word PRODUCT that they want us to multiply. Use process of elimination to help. We know that 6 x 4 is 24, so it will end in a 4. That brings us to just 2 options. 3x2 is 6, but we can gather/infer that we will have to add from the carryover from previous steps. (2x6 is 12, the one would have carried over to the hundreds place.)

Tags

2 digit multiplication

Math vocabulary

A car can travel 41 miles for each gallon of gas it uses. How many miles can the car travel using 45 gallons of gas?

• 1,845

• 1,800

• 1,745

• 1,886

Answer explanation

The word problem is asking us to multiply. Use process of elimination! 1 x 5 = 5, so we know it will end in a 5. That eliminates two of the options. You know have a 50/50 chance of getting it correct. How much do you need to regroup? I know that 4x5 is 20, so there will be a 2 that we will add to the hundreds place. That will change the 16 to an 18. So we know the answer is 1845.

Tags

Word Problem

2 digit multiplication

Tatum walks her dog 2/3 mile every day after school. How many miles does she walk her dog in 5 days?

• 7/3

• 10/3

• 3/15

• 10/15

Answer explanation

You can solve this equation with repeated addition 2/5 + 2/5 + 2/5 + 2/5 + 2/5.

Or you can multiply 2 x 5. Since we know that is 10, we can eliminate two answer options. Now if we multiply both the numerator and the denominator, that would make an equivalent fraction, which is not what we want. We just multiply the NUMERATOR.

Tags

Multiply Fraction

The number of points Jaden scored in a game is less than 45 and is also a multiple of 7. How many points could Jason have scored?

• 17

• 35

• 52

• 70

Answer explanation

The information in the question says it is LESS than 45, so that eliminates two options. A multiple of 7, so something times 7 to equal that number. 17 is a prime number so that doesn't work. 35 is 7 x 5 so that is the correct answer.

Tags

Word problem

Multiples

Which comparison is true?

• 2/3 = 8/12

• 4/9 = 8/9

• 3/4 > 9/10

• 2/4 > 2/3

Answer explanation

We are comparing fractions. One option we can easily get rid of is 4/9 = 8/9 since they have the same denominator and they are NOT equal.

Do cross multiplication, multiply the denominator of one fraction with the numerator it is comparing to and vice versa to see which is the biggest number.

In 2/3 = 8/12, 3x8 is 24, and 12x2 is 24 so that answer is correct.

Tags

Comparing Fractions

The measure of angle EFG shown below is 106 degrees. What is the measure, in degrees, of angle EFH ?

• 34

• 56

• 72

• 140

Answer explanation

We know the total angle is 106 degrees, and we see that part of it is 34. An easy way to solve is to subtract. First step, 6-4=2. So we know it ends in a 2. You now have enough information to choose the correct answer.

Tags

Measuring angles

Which list of fractions is in order from least to greatest value?

• 1/2, 1/4, 3/4

• 1/4, 1/2, 3/4

• 1/4, 3/4, 1/2

• 1/2, 3/4, 1/4

Answer explanation

Don't forget that 1/2 is equivalent to 2/4. With that information, you can easily order the fractions from least to greatest.

Tags

Equivalent Fraction

Ordering Fractions

Betsy has 4 1/3 cups of lemonade in a pitcher. She pours 1 2/3 cups into a glass. How much lemonade remains in the pitcher?

• 2 2/3 cups

• 3 1/3 cups

• 5 3/3 cups

• 5 3/6

Answer explanation

The question is asking how much is left in the pitcher after some is poured out. So we are to SUBTRACT. We can eliminate the answer options that are greater than 4 1/3. Now we have 2 options left. Since we can't take 2/3 from 1/3 we know we have to borrow . Since we know we have to take from the 4, which turns it into a 3, we know that the answer is 2 2/3 cups since 3 - 1 is 2.

Tags

Subtracting mixed numbers

What is the value of the expression below?

2,816 x 7

• 14,572

• 14,672

• 19,612

• 19,712

Answer explanation

Since all the answer options end in the same number, we can't eliminate off the bat...yet.

We know 7 x 6 is 42, we have to remember to carry the 4 to the tens place. 7 times 1 is 7 BUT you have to add the 4. NOW we can eliminate 2 answer options because only 2 have a 1 in the tens place.

We know that 7 x 8 is 56 BUT you have to remember to add the 1 from the previous step (which makes it 7.) We now can choose the right answer since only one has a 7 in the hundreds place.

Tags

4x1 multiplication

What is the quotient for the expression 2,314 ÷ 4?

• 508

• 508 r2

• 578

• 578 r2

Answer explanation

Well we know that the first number is 5 since they all begin with 5. 4 goes into 23, 5 times since 5x4 is 20. You have 3 in which you either bring up or down (depends on if you are doing box method or standard) and you have 31. We can eliminate 2 choices here, since we know 4 can go into 31.

If you look at the answer options we see that they all end in an 8, we know that 8 x 4 is 32. Since the problem ends in a 4 we know we have to have a remainder. So now we know that the answer is 578 r 2.

Tags

Long division