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Topic 8

Total questions: 14

Worksheet time: 17mins

Name
Class
Date
1.

Select the statement that this model represents.

a)

 \frac{2}{4}=\frac{4}{8}  

b)

 14=48\frac{1}{4}=\frac{4}{8}  

c)

 24=412\frac{2}{4}=\frac{4}{12}  

d)

 28=112\frac{2}{8}=\frac{1}{12}  

2.

Which fraction is equivalent to

 128\frac{12}{8}  ?

a)

 12\frac{1}{2}  

b)

 23\frac{2}{3}  

c)

 64\frac{6}{4}  

d)

 35\frac{3}{5}  

3.

Which fraction is equivalent to

 610\frac{6}{10}  ?

a)

 12\frac{1}{2}  

b)

 23\frac{2}{3}  

c)

 64\frac{6}{4}  

d)

 35\frac{3}{5}  

4.

Which fraction is equivalent to

 48\frac{4}{8}  ?

a)

 12\frac{1}{2}  

b)

 23\frac{2}{3}  

c)

 64\frac{6}{4}  

d)

 35\frac{3}{5}  

5.

Which fractions are less than

 13\frac{1}{3}  ?  Select all that apply.

a)

 110\frac{1}{10}  

b)

 26\frac{2}{6}  

c)

 69\frac{6}{9}  

d)

 210\frac{2}{10}  

e)

 315\frac{3}{15}  

6.

Kenny ate

 18\frac{1}{8}  of a large cake and Gail ate  24\frac{2}{4}  of a small cake.  Who ate more?

a)

The two cakes are different sizes, so it is impossible to compare the fractions to see who ate more.

b)

Because  18<14\frac{1}{8}<\frac{1}{4}  , Gail ate more.

c)

Because Gail's cake was smaller than Kenny's cake, Kenny ate more.

d)

Kenny and Gail ate the same amount because  18 =24\frac{1}{8\ }=\frac{2}{4}  .

7.

Who reached the greatest fraction of their goal?

a)

Mr. Nanduri

b)

Mrs. Nanduri

c)

Giva

d)

Kanan

8.

Which two family members walked the same fraction of their goal?

a)

Mr. Nanduri and Mrs. Nanduri

b)

Mrs. Nanduri and Kanan

c)

Giva and Mr. Nanduri

d)

Kanan and Giva

9.
a)

34\frac{3}{4} because 912÷33=34\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}

b)

410\frac{4}{10} because 91252=410\frac{9}{12}-\frac{5}{2}=\frac{4}{10}

c)

38\frac{3}{8} because 912÷33=38\frac{9}{12}\div\frac{3}{3}=\frac{3}{8}

d)

13\frac{1}{3} because 912÷44=13\frac{9}{12}\div\frac{4}{4}=\frac{1}{3}

10.

Jane and Richard each painted about  15\frac{1}{5}  of their own birdhouse.  Jane painted more than Richard.  How is this possible?

a)

Jane and Richard's birdhouses were the same size.

b)

Richard's birdhouse was bigger than Jane's birdhouse.

c)

Jane's birdhouse was bigger than Richard's birdhouse.

11.

Order 45, 14, 68, 59\frac{4}{5},\ \frac{1}{4},\ \frac{6}{8},\ \frac{5}{9}  from least to greatest. 

Possible strategies: Eliminate wrong answers and draw pictures.

a)

 45, 14, 68, 59\frac{4}{5},\ \frac{1}{4},\ \frac{6}{8},\ \frac{5}{9}  

b)

 68, 59,45, 14\frac{6}{8},\ \frac{5}{9},\frac{4}{5},\ \frac{1}{4}  

c)

 68, 59, 14, 45\frac{6}{8},\ \frac{5}{9},\ \frac{1}{4},\ \frac{4}{5}  

d)

 14, 59, 68, 45\frac{1}{4},\ \frac{5}{9},\ \frac{6}{8},\ \frac{4}{5}  

12.

Which comparison is incorrect?

a)

14<13\frac{1}{4}<\frac{1}{3}

b)

38>14\frac{3}{8}>\frac{1}{4}

c)

23=56\frac{2}{3}=\frac{5}{6}

d)

13<25\frac{1}{3}<\frac{2}{5}

13.

Which statement correctly describes how to use 12\frac{1}{2}  as a benchmark to compare  38\frac{3}{8}  and 46\frac{4}{6}  ?

a)

 \frac{3}{8}  is greater than  \frac{1}{2}  , and  \frac{4}{6}  is less than  \frac{1}{2}  , so  \frac{3}{8}>\frac{4}{6}  .

b)

 \frac{3}{8}  is greater than  \frac{1}{2}  , and  \frac{4}{6}  is less than  \frac{1}{2}  , so  38<46\frac{3}{8}<\frac{4}{6}  .

c)

 \frac{3}{8}  is less than  \frac{1}{2}  , and  \frac{4}{6}  is greater than  \frac{1}{2}  , so  38<46\frac{3}{8}<\frac{4}{6}  .

d)

 \frac{3}{8}  is less than  \frac{1}{2}  , and  \frac{4}{6}  is greater than  \frac{1}{2}  , so  \frac{3}{8}>\frac{4}{6}  .

14.

Emile will use less than  12\frac{1}{2}  cup sugar for a recipe.  What fraction of a cup might Emile use?

a)

 24\frac{2}{4}  

b)

 26\frac{2}{6}  

c)

 58\frac{5}{8}  

d)

 23\frac{2}{3}