Free Printable Entrance Examination into Year 7

1.

Which ones are the factors of 12

a)

1,2,3,4,5,6,7,8,9,10,11,12

b)

1,2,3,4,6,12

c)

1,12

d)

2,3,4,6

2.

Which number is a multiple of 2 and a factor of 48

a)

10

b)

3

c)

12

d)

7

3.

Which number is not a multiple of 7?

a)

14

b)

21

c)

27

d)

77

4.

Which number is not a multiple of 3

a)

108

b)

99

c)

63

d)

65

5.

Which list contains the factors of 15

a)

15, 30 , 45

b)

1,3,5,10,15

c)

1,3,5,15

d)

5,10,15

6.

Find the factors of 9

a)

1,3,9

b)

3,9

c)

3,3

d)

9,27,45

7.

What is the LCM (Least Common Multiple) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

8.

What is the GCF (Greatest Common Factor) of 12 and 6?

a)

1

b)

6

c)

2

d)

3

9.

Find the LCM of 18 and 24

a)

6

b)

72

c)

24

d)

5

10.

Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

11.

Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

a)

2

b)

3

c)

4

12.

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which caller will be the first to win both prizes?

a)

5

b)

2

c)

10

d)

120

13.

What is the GCF of 56 and 49?

a)

14

b)

2

c)

8

d)

7

14.

Lisa is making identical flower arrangements for wedding reception. She has 32 white roses, 24 pink roses, and 16 bunches of babies breath. She wants each arrangement to have the same number of each flower. What is the greatest number of arrangements that she can make if every flower is used?

a)

6

b)

2

c)

4

d)

8

15.

John and Mitchell are both building a race track out of connecting pieces. John has pieces that are 20 inches long while Mitchell's pieces are 8 inches long. How long will the shortest track be that they can each build with the same length?

a)

2 inches

b)

40 inches

c)

4 inches

d)

20 inches

16.

Henry listed the first 4 multiples of 9 as: 9, 18, 26, and 36.

Which one is incorrect?

a)

9

b)

18

c)

26

d)

36

17.

Write the improper fraction as a mixed number

$\frac{13}{4}$ .

a)

3 $\frac{3}{4}$

b)

3 $\frac{1}{4}$

c)

3

d)

4

18.

These are fractions with the same denominators

a)

similar fractions

b)

dissimilar fractions

c)

mixed fraction

19.

Write the improper fraction as a mixed number

$\frac{13}{4}$ .

a)

3 $\frac{3}{4}$

b)

3 $\frac{1}{4}$

c)

3

d)

4

20.

Write the improper fraction as a mixed number

$\frac{22}{3}$ .

a)

7 $\frac{2}{3}$

b)

7 $\frac{1}{4}$

c)

7 $\frac{1}{3}$

d)

7 $\frac{3}{4}$

21.

Write the mixed number as an improper fraction

5 $\frac{6}{7}$

a)

$\frac{37}{7}$

b)

$\frac{41}{7}$

c)

$\frac{37}{6}$

d)

$\frac{41}{6}$

22.

Write the mixed number as an improper fraction

3 $\frac{4}{9}$

a)

$\frac{21}{9}$

b)

$\frac{21}{4}$

c)

$\frac{31}{4}$

d)

$\frac{31}{9}$

23.

Write the improper fraction as a mixed number

$\frac{27}{8}$

a)

3 $\frac{2}{8}$

b)

4 $\frac{3}{8}$

c)

8 $\frac{3}{4}$

d)

3 $\frac{3}{8}$

24.

Write the mixed number as an improper fraction

7 $\frac{5}{11}$

a)

$\frac{23}{11}$

b)

$\frac{23}{7}$

c)

$\frac{82}{11}$

d)

$\frac{11}{82}$

25.

Write the improper fraction as mixed fraction

$\frac{13}{5}$

a)

2 $\frac{3}{5}$

b)

3 $\frac{2}{5}$

c)

5 $\text{}\frac{2}{3}$

d)

1 $\frac{3}{5}$

26.

Compare 3/4 and 1/2

a)

3/4 > 1/2

b)

3/4 < 1/2

c)

3/4 = 1/2

27.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

28.

Which fraction would make this statement true?
2 / 3 < _____

a)

2/3

b)

1/3

c)

1/2

d)

3/3

29.

Which is greater?
1/5 or 1/3

a)

1/5

b)

1/3

30.

Compare 1/4 and 1/7

a)

1/4 > 1/7

b)

1/4 < 1/7

c)

1/4 = 1/7

31.

Compare the fractions. Use scratch paper to show your work. Choose the correct sign.
3/8 _ 1/4

a)

<

b)

=

c)

>

32.

Which is less?

a)

6/8

b)

3/8

33.

Look at the shaded model. Which number sentence is true?

a)

3/8>5/8

b)

4/8<3/8

c)

3/8<4/8

d)

3/8<5/8

34.

Look at the shaded model. Which number sentence is true?

a)

1/8<3/8

b)

3/8<1/8

c)

7/8<5/8

d)

5/8>1/8

35.

a)

<

b)

>

c)

=

36.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

37.

Which is greater?
1/5 or 1/3

a)

1/5

b)

1/3

38.

Compare $\frac{2}{5}$ with $\frac{3}{5}$

a)

$\frac{2}{5}>\frac{3}{5}$

b)

$\frac{2}{5}<\frac{3}{5}$

c)

$\frac{2}{5}=\frac{3}{5}$

39.

Arrange the fractions in descending order $\frac{7}{11};\frac{3}{11};\frac{-7}{5};0;\frac{4}{-5};\frac{9}{11}$

4 lines

40.

Which is NOT an equivalent fraction to one half?

a)

2/4

b)

2/3

c)

4/8

d)

3/6

41.

Select the equivalent fraction for 1/10

a)

3/20

b)

2/25

c)

3/10

d)

4/40

42.

\frac{1}{2}

______

\frac{1}{5}

a)

<

b)

=

c)

>

43.

What fraction of the rectangle is blue?

a)

1/6

b)

1/3

c)

6/2

d)

2/3

44.

Convert 3 ¹/₃to an improper fraction.

a)

⁴/₃

b)

⁹/₃

c)

¹⁰/₃

d)

2 ⁴/₃

45.

Convert ¹²/₅ to a mixed fraction in lowest terms.

a)

10 ²/₅

b)

1 ⁷/₅

c)

²/₅

d)

2 ²/₅

46.

Compare these two fractions. (use common denominators) Choose the correct symbol to go in the bubble.

a)

>

b)

<

c)

=

47.

Which fraction would make this statement true?
2 / 3 < _____

a)

2/3

b)

1/3

c)

1/2

d)

3/3

48.

Put these fractions in order from least to greatest:
1/4, 1/6, 1/2

a)

1/2, 1/4, 1/6

b)

1/6, 1/2, 1/4

c)

1/6, 1/4, 1/2

d)

1/4, 1/6, 1/2

49.

Which fraction is larger?

2/3 or 9/12

a)

2/3

b)

9/12

50.

1/3, 3/5, 2/4
Which shows these fractions in correct order?

a)

1/3, 2/4, 3/5

b)

2/4, 1/3, 1, 3/5

c)

1/3, 3/5, 2/4

d)

2/4, 3/5, 1/3

51.

Order these fractions from least to greatest.

a)

1/2, 3/5, 2/10

b)

1/2, 2/10, 3/5

c)

2/10, 1/2, 3/5

d)

3/5, 2/10, 1/2

52.

Order these fractions from GREATEST TO LEAST.

a)

2/3, 5/12, 1/4

b)

1/4, 2/3, 5/12

c)

5/12, 2/3, 1/4

d)

2/3, 1/4, 5/12

53.

Simplify 6/42

a)

2/5

b)

7

c)

1/7

d)

3/21

54.

Simplify 9/36

a)

4

b)

3/12

c)

1/4

d)

12

55.

Simplify

a)

1/4

b)

1/24

c)

6/4

d)

1/18

56.

Simplify

a)

1/5

b)

1/3

c)

3/5

d)

2/3

57.

Simplify 5/20

a)

5/20

b)

1/4

c)

1/2

d)

2/3

58.

$\frac{8}{12}$

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{1}{6}$

59.

Simplify

\frac{14}{21}

=

(a)

60.

Simplify

\frac{12}{30}

=

(a)

61.

Simplify 6/42

a)

2/5

b)

7

c)

1/7

d)

3/21

62.

Simplify 21/56

a)

7/8

b)

3/8

c)

5/13

d)

10/27

63.

44/60

a)

SF

b)

2/3

c)

11/15

d)

11/12

64.

12/40

a)

SF

b)

6/10

c)

3/10

d)

2/7

65.

Simplify 15/30

a)

1/2

b)

5/7

c)

15/30

d)

5/3

66.

simplify this fraction 30∕60 to the lowest

a)

1/2

b)

15/30

c)

10/20

67.

18/45

a)

SF

b)

1/5

c)

1/3

d)

2/5

68.

What is the first step in solving this problem?
⅘ + ½ =

a)

Add the top parts of the fraction

b)

Rewrite the fractions in the simplest form.

c)

Find a common denominator.

d)

Make each fraction into an improper faction.

69.

Add these Fractions

a)

2/4

b)

3/4

c)

4/8

d)

1

70.

50/100 + 25/100 =

a)

100/75

b)

100/100

c)

75/100

d)

52/100

71.

A construction company is digging a pit to build the foundation of a house. At the end of the first day, the company had hauled away 1/6 of a truckload of dirt. On the second day, they hauled away 2/6 of a truckload. How many truckloads did they haul away in all?

a)

1/4 truckload

b)

1/2 truckload

c)

3/4 truckload

d)

1/3 truckload

72.

Solve. 2/3 + 7/12

a)

3/5

b)

9/15

c)

15/12

d)

5/12

73.

8/10 + 3/5

a)

11/15

b)

1 1/5

c)

14/15

d)

1 4/10

74.

5/12 + 1/3

a)

6/12

b)

9/12

c)

6/15

d)

3/4

75.

5/6 + 1/12 =

a)

6/18

b)

5/60

c)

11/12

d)

10/12

76.

Brooke had 3/5 of an apple pie and her mom had 2/7 of an apple pie. How much apple pie do they have altogether?

a)

35/35

b)

5/12

c)

31/35

d)

1 2/35

77.

Snow fell in Newton twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?

a)

1/8

b)

3/10

c)

5/8

d)

7/8

78.

Simon has 1/5 of a gallon of cranberry juice, 1/3 of a gallon of apple juice, and 7/10 of a gallon of grape juice. How much juice does Simon have?

a)

9/30

b)

1/2

c)

1 7/30

d)

1 13/30

79.

A batch of oatmeal cookies calls for 3/4 cup of oatmeal. Ellen is making 4 1/2 batches of cookies. How many cups of oatmeal will she need?

a)

3

b)

3 1/8

c)

3 3/8

d)

4 4/6

80.

There are seven gloves in the lost & found box. There are two blue gloves, three green gloves, one black glove, and one brown glove. What fraction of the gloves are black?

a)

1/7

b)

2/7

c)

3/7

d)

6/7

Entrance Examination into Year 7

Total questions: 80

Worksheet time: 1hrs 20mins

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