# Can you ace this 5th grade math quiz?

By: Olivia Seitz
2 min
Image: Shutterstock

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Are you ready to search for fun with this 5th grade math quiz? Play your way through the world of numbers and variables to see if you can ace this challenge! From mental math to word problems, test your skills and see if you're smarter than a fifth grader.

In fifth grade, math was just one of the many subjects on your plate. From addition and subtraction to recognizing patterns and plotting points, the concepts were diverse and challenging. Can you still remember the basics from your fifth-grade math education? Put your knowledge to the test and see how much you've retained over the years!

Whether it's been 20, 30, or even 40 years since fifth grade, the math fundamentals have remained the same. Multiplication, division, fractions, and more - can you tackle these topics without the help of a calculator? Prove that you're still sharp when it comes to fifth-grade math and show that you've got what it takes to outsmart your younger self!

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5 + 7 + 10 + 6 - 2 = ?
13
12
39
26

For this question, it's necessary to add and subtract numbers as indicated to find the total. 5 + 7 = 12, 12 + 10 = 22, 22 + 6 = 28, and 28 - 2 = 26.

How many minutes are in six hours?
600
30
360
10,000

Since there are 60 minutes in one hour, there are 6 x 60 minutes in six hours. And 6 x 60 = 360 minutes.

What's the next number in this sequence? 3,8,13,18...
23
25
12
33

The difference between each number in the sequence is 5. 3 + 5 = 8, etc. So 18 + 5 gives the next number, which is 23.

On a number line, which number is closest to zero?
-77
+988
-2
10

A number line can be drawn according to the scale of the problem at hand, but all numbers are a certain distance from zero. Small positive and negative numbers are closest to zero, while large positive and negative numbers are farther away.

How many pennies are in \$23.25?
93
465
1,555
2,325

One penny is equal to \$0.01, so it takes 2,325 pennies to get \$23.25. If you asked how many quarters go into that amount, the answer is 93.

Find the missing number: 1, 3, __, 27, 81.
5
17
9
1

This sequence of numbers is obtained by multiplying the previous number by three. 1 x 3 = 3, 3 x 3 = 9, 9 x 3 = 27, etc.

No calculator! 54/3 = ?
9
18
27
51

Your mental math to solve this problem might sound something like this: 3 goes into 5 once with 2 left over, so the first digit is one. 24/3 = 8, so the final answer is 18.

Simplify (15x2-6)/4.
6
24
-15
100

PEMDAS applies here: first, multiply 15 x 2 to get 30. 30 - 6 = 24, and then 24/4 = 6, which is the correct answer. Accidentally simplifying 2-6 first and then finishing the problem would give -15 as an answer.

In the x-y coordinate plane, what point marks the place where the x-axis crosses the y-axis?
(0,10)
(10,0)
(0,0)
(5,5)

The x-axis includes all points for which y = 0, and the y-axis includes all points for which x = 0. So they meet at the point (0,0).

If you add up all the angles inside a quadrilateral, how many degrees do you get?
90
180
360
540

Think about a rectangle: each of its four angles is equal to 90 degrees. If you multiply 90 x 4, you get 360 total degrees. Even if the quadrilateral isn't a rectangle, it can't have more or less than 360 degrees inside.

What is 3 and 1/2 minus 2 and 1/2?
1/2
1 and 1/2
1
0

3 and 1/2 is the same thing as saying 3.5, so the question is asking for the answer to 3.5 - 2.5. 3.5 - 2.5 = 1, so that's the correct answer.

If a polygon is an octagon, how many sides does it have?
4
5
8
10

The prefix (in this case octa-) indicates how many sides the polygon has. A hexagon has six sides, an octagon has eight and a decagon has 10.

Which of the following is true about a rectangle?
It has two sets of parallel sides
It has six sides
Two of its sides are slanted inward toward each other
All of the above

A rectangle is composed of two sets of parallel sides. Each set of parallel sides are of equal length, but it's not necessary for all four sides to equal each other.

How many centimeters are in a meter?
1
50
2.54
100

'Centi' stands for one hundred. There are one hundred centimeters in a meter, and 0.01 meters in one centimeter. Similarly, there are 1,000 millimeters in one meter and 0.001 meters in one millimeter.

Crunch without a calculator: 25 x 8 = ?
408
200
516
160

An easy way to think about this problem is in terms of quarters. We know four quarters makes 100 cents, so double that must be 200.

1/2 + 1/3 = ?
1/5
1/6
5/6
1

When adding fractions, it's important to make the denominator the same. Here, it's necessary to rewrite 1/2 as 3/6 and 1/3 as 2/6 so that the numerators can be added for a total of 5/6.

Which of the following expressions correctly describes the solution to this word problem? Amanda is training for a marathon. Each week, she runs 1.5 times as far as the previous week. If she ran 5 miles during Week One, how many miles did she run on Week Three?
5 x 1.5 x 1.5
5 + 1.5 + 1.5
5 x 1.5 - 1.5
5 x 5 x 5

Since the starting distance is five miles, that distance is multiplied by 1.5 to get her distance for Week Two: 7.5 miles. For Week Three, the distance from Week Two (7.5) is multiplied again by 1.5, giving 5 x 1.5 x 1.5 = 11.25 miles.

What is PEMDAS a mnemonic for?
Remembering how to use a decimal point.
Using the correct order of operations during basic arithmetic
How to use the coordinate system
The steps for solving a simple algebra problem

PEMDAS is a mnemonic for remembering the correct order of operations. It means to first simplify anything inside parentheses, then simplify exponents, then multiply and divide, then add and subtract.

245-37 = ?
208
157
211
118

Since 45 > 37, you can ignore the 100's digit until the end of the problem. The difference between 45 and 37 is 8, so 245 - 37 = 208.

What is the volume of a regular cube if one side is 4 inches long?
24 cubic inches
64 cubic inches
1,846 cubic inches
not enough information provided

A regular cube has sides of equal length, so if you know one side, you know them all. 4 x 4 x 4 = 64, so the volume is 64 cubic inches.

What part of a fraction is the denominator?
the top number
the bottom number
the line between the numbers
all of the above

In a fraction, the numerator is the place for the top number and the denominator is the place for the bottom number. For example, in the fraction 1/4, 1 is in the numerator and 4 is in the denominator.

Which of the following shapes is not a type of polygon?
A stop sign
A billboard
A heart emoji
A credit card

Heart drawings use curves, and if something includes curved lines, it can't be a polygon. A stop sign is a hexagon, and the billboard and credit card are rectangles, so they are polygons.

Simplify (10-8)*4 - 5 without a calculator.
3
75
-2
43

Order of operations matters: 10 minus eight makes two, which is multiplied by four to get eight. Then, subtract five for a final answer of three.

Which of the following shapes is not a quadrilateral?
square
rectangle
rhombus
hexagon

A quadrilateral is any shape that has four sides. A hexagon has six sides, so it can't be a quadrilateral.

Consider the number 234.67: which number is in the tenth's place?
3
7
4
6

The "tenths" place is immediately to the right of the decimal point. That means six is the number to choose.

What's another way of writing 10^6?
106
60
601
1,000,000

10^6 represents 10 multiplied by itself six times. 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000, otherwise known as one million!

What answer should you get when dividing 1.4 by 0.7?
0.2
2
234
0.076

An interesting way to think about this problem is to turn it into (1.4/0.7) x (10/10). 1.4 x 10 = 14 and 0.7 x 10 = 7. Now, you have 14/7, which easily simplifies to 2.

On an x-y coordinate plane, the y-axis is...
horizontal
vertical
straight out from the page
skewed to the left

On an x-y coordinate plane, the y-axis is the one that passes through zero and continues indefinitely up and down. The x-axis is perfectly horizontal.

Which of the following are always true about equilateral triangles?
They have three sides
Each angle is equal to 60 degrees
All sides are equal
All of the above

An equilateral triangle has three equal sides. Because all the sides are equal, all the interior angles of the triangle are equal too, making them 60 degrees each.

Which of the following ordered pairs has the greatest x-value?
(2, 6)
(5, 5)
(-2, 7)
(14, -3)

Ordered pairs are written in the format (x,y) with respect to the x,y coordinate system. (14, -3) has the largest x value and (-2,7) has the largest y value.

If the volume of a box is 50 cubic cm and two of the dimensions are 5 cm long, how long is the remaining side?
10 cm
5 cm
2 cm
25 cm

5 x 5 x 2 = 50. The volume of the box can be found by multiplying the length, width and height. Since the volume is known, divide the volume (50) by the known dimensions (5x5) to get the final side length: 2 cm.

3.45 x 10^3 is the same as...
3.45
345
3,450,000
3,450

Scientific notation is a way of writing numbers in a condensed way that emphasizes important digits. 3.45 x 10^3 is the same thing as 3.45 x 1000, which gives 3,450.

Which of these numbers is most precise?
12.5
6.7899
150
.05

The number itself doesn't give any information regarding accuracy, but as for precision, 6.7899 is by far the most precise. It is able to report information all the way to the ten-thousandths digit, which is the smallest digit shown.

In which quadrant of the x-y axis would the point (-2,5) be?
I
II
III
IV

(-2,5) is in the second quadrant because the 'x' value is negative and the 'y' value is positive. The quadrants are numbered counter-clockwise, starting with the upper right region.

What number is the result when 1090.877 is rounded to the nearest hundred?
1,090.9
1091
1,100
2,000