Grade 3 Math Practice Test: Fractions on a Number Line

The space from 0 to 1 has 4 equal parts, and P is 3 parts from 0, so P is at 34. 35 comes from counting the 5 tick marks instead of the 4 spaces.

There are 6 equal spaces between 0 and 1, and P is at the end of the first one: 16. Counting tick marks gives 7, which is a common mistake.

Each whole is split into 3 equal parts, so each part is 13. P is 5 parts from 0, so it is at 53. 56 uses all 6 parts from 0 to 2 as the denominator, but the denominator tells how many parts are in one whole.

44 means 4 parts out of 4 equal parts, which is the whole thing. 41 means 4 wholes, so it equals 4.

If a whole is split into 4 parts, 2 of them reach exactly halfway, so 24 and 12 are equivalent. 28 is only a quarter of the way.

When the denominators are the same, the fraction with more parts is greater, so 58 > 38. With the same numerator, a bigger denominator means smaller parts, so 13 is less than 12.

Both distances are parts of the same mile. Splitting a mile into 3 parts makes bigger parts than splitting it into 4, so 13 mile is farther. A bigger denominator means smaller pieces.

Point A is at 68. If you join every two eighths into one part, the line has 4 parts and A is at the third one, so 68 = 34. 38 keeps the eighths but halves only the top number.

62 means 6 halves. Two halves make 1 whole, so 6 halves make 3 wholes. 33 is equal to 1.

There are 3 equal spaces between 0 and 1, so each space is 13. The 4 tick marks can make you think of fourths, but only the spaces are counted.

44 = 1 and 84 = 2. Since 7 fourths is more than 4 fourths and less than 8 fourths, 74 is between 1 and 2.

All four fractions have 2 parts. The more parts a whole is split into, the smaller each part is, so 2 eighths is the least. 23 is the greatest.