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Elementary math tests for
'Order fractions from smallest to largest' for 2nd grade
2nd grade / Fractions / Fractions and decimals / Order fractions from smallest to largest
Order fractions from smallest to largest
Knowing which fraction is biggest or smallest is not always obvious. If we compare fractions that have the same number on the bottom (the denominator) like ⅖, ⅗ and ⅘, then the bigger the number on the top (the numerator) the bigger the fraction is.
If we compare ⅘, ⅗ and ⅖, we can see that all those fractions have the same denominator of 5. The numerators are 4, 3 and 2. So we can say that to arrange those fractions in order from smallest to biggest will be :
⅖ ⅗ ⅘
Order unit fractions from smallest to largest
There is another type of fraction that we need to talk about, unit fractions.
A unit fraction is the name for a fraction where the number on the top is a 1.
So ½ is a unit fraction and so are ⅐ and ⅛ but ⅖ is not because it's numerator is not 1, it is 2.
Arranging unit fractions from smallest to biggest is not as easy as our first example. If we think about the two most common unit fractions, ¼ and ½, we will see why. Which is bigger, ¼ of a cake or ½ a cake? The answer is that ½ a cake is bigger than ¼ of a cake even though the denominator of ½, which is 2, is smaller than the denominator of ¼, which is 4.
So, when we are asked to arrange fractions which are unit fractions, we have to remember that we need to compare the denominators, but that the fractions with the biggest denominators are the smallest fractions. If we are asked to arrange ⅕ ⅙ ⅐ in order from smallest to largest, we compare the denominators and order the fractions with the bigger denominators first and those fractions with the smaller denominators last. Arranging ⅕ ⅙ ⅐ in order from smallest to largest gives :
⅐ ⅙ ⅕
With our quick math tests you will be revising "Order fractions from smallest to largest" in 2 simple steps. The math in our tests consists of 16 questions that ask you to re-arrange each set of fractions so that they are listed from smallest to largest.
These math tests are designed to round off your learning experience here at Free Math Games by testing whether you can correctly recognize the math you have learned (in the multiple choice test) and that you can correctly enter the correct answers (in the writing test).
Make sure you have chosen the correct topic before starting! Although these tests are timed, try to relax and concentrate on getting the answers right at first - later you can try the tests again more quickly.
The two types of tests are:
- A multiple choice quiz to check your recall of the math
- A writing test to check your math for the selected topic
Key features of our math tests include:
- You can do these tests at home (or at school) without the help of a teacher
- You can repeat our tests as often as you need to improve your scores
- The tests check your comprehension for the topic
- The writing test also checks your ability to write / type math answers for the topic
- The tests use all the questions in a topic, so you will see questions that weren't in the lessons
You should expect to score 8+ / 10 in each test before you select a new topic. It is a good idea to repeat the test for each topic you do after two weeks to "reinforce" the math for that topic
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
How to use our math tests for
'Order fractions from smallest to largest' for 2nd grade
- On the settings screen, select the test you would like to take.
- A new screen will open with information concerning the test.
- When you are ready to begin, click "Start the test".
Multiple choice test
This is a multiple choice activity similar to "What is it" in the Math lessons - you are shown a randomly selected question from the topic you are using. A selection of topic answers are displayed as a list. If you click/tap the speaker beside any answer you will hear the audio for that answer.
For each question, you must click on the answer that matches that question. If your answer is correct you will hear a bell and one star will be lit. The next question will be shown. If your answer is wrong, a box will open showing you what the correct answer was.
The test is timed, and the clock starts when you click the Start button. The clock stops when you click your final answer. At the end of your test a screen will tell you how many of the questions you got right and how long you took to complete the test.
Writing test
The writing test checks whether you can type the correct answer using your keyboard. This test is also timed. You can do the test many times until you get a good score. To start the test, click on the "Writing test" sign in the navigation board, then click on the "Start the test" arrow.
A random problem from your selected topic is shown. Beneath the problem there is a white box into which you should type the answer. If you need a little help you can click on the "Help me" button for a tip. Only use the help if you really need to.
If you type the answer correctly your device will automatically light a star. If you have entered your answer and no star lights up, click on the tick or press Enter to check your answer. When you have tried all the questions, a screen will show you how many questions you answered correctly and how long it took.
* Try to score 8 out of 10 in both test before you choose a new topic *
* It is OK to do the tests many times if you need to *
