Free Printable Grade 7 Math Diagnostic Test

1.

The temperature on Shahd’s thermometer last night was −3°F. This morning it was colder. What could be the temperature on her thermometer this morning?

a)

-5°F

b)

-1°F

c)

0°F

d)

2°F

2.

Which of the following is an INTEGER?

a)

-¹/₂

b)

-9

c)

10.256

d)

6 ¹/₂

3.

Which is true?

a)

2 > -2

b)

2 < -4

c)

-2 < -4

d)

-4 > 4

4.

What is the opposite of -3.2?

a)

0

b)

6.4

c)

3.2

d)

-3.2

5.

A scientist studies a pond and finds that it has 18 fish and 24 turtles. What is the ratio of turtles to fish in the pond in simplest form?

a)

4:3

b)

3:4

c)

7:4

d)

4:7

6.

In which quadrant of the coordinate plane is the point (−4,1) located?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

Use the graph to find the coordinate pair (x,y) which describes the location of the Blue Beach.

a)

( 2, 4)

b)

( 2, -5)

c)

( 4, 5)

d)

( 4, 2)

8.

On a coordinate grid, Ming’s house is located 2 blocks to the right and 5 blocks up from (0, 0). What ordered pair describes the location of Ming's house?

a)

(2,5)

b)

(5,2)

c)

(0,5)

d)

(2,0)

9.

Jeff had reached the highest level on his new computer game. The computer reported his score as 1.35 × 10³points. How should Jeff write his score in standard form?

a)

135

b)

1,350

c)

13,500

d)

135,000

10.

Mario went on a hike with his friends. They hiked 2.24 miles an hour for 8 hours. How many miles did they hike in all?

a)

1.792 miles

b)

17.92 miles

c)

19.92 miles

d)

179.2 miles

11.

Tony is making small bags of bird seed from a larger bag of bird seed that weighs 11.16 pounds. If he puts the same amount of seed in each of 6 bags, how much will each bag weigh?

a)

0.18 pound

b)

1.86 pounds

c)

1.96 pounds

d)

2.86 pounds

12.

Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo?

a)

$5.05

b)

$5.50

c)

$8.35

d)

$9.35

13.

Kristina paid $9.15 for 5 pounds of pears. She paid $5.28 for 3 pounds of grapes.

Which was the better buy?

a)

The pears because they cost $0.77 less per pound.

b)

The pears because they cost $0.20 less per pound.

c)

The grapes because they cost $0.48 less per pound.

d)

The grapes because they cost $0.07 less per pound.

14.

What is the perimeter of a rectangular picture frame when L = 12 in. and W = 9 in.?

a)

25 in

b)

33 in

c)

42 in

d)

84 in

15.

Ms. Jene bought a new rug for her classroom. The rectangular rug is 14 feet long and 22 feet wide. What is the area of Ms. Jene’ new rug?

a)

36 square feet

b)

72 square feet

c)

308 square feet

d)

380 square feet

16.

What is the value of 7 + 8 × 2?

a)

A. 30

b)

B. 23

c)

C. 22

d)

D. 15

17.

Which of these is a prime number?

a)

A. 4

b)

B. 9

c)

C. 11

d)

D. 15

18.

What is the LCM of 3 and 4?

a)

A. 7

b)

B. 12

c)

C. 6

d)

D. 3

19.

Which of these is a factor of 24?

a)

A. 5

b)

B. 8

c)

C. 7

d)

D. 11

20.

What is the place value of 6 in 3.62?

a)

A. Tenths

b)

B. Hundredths

c)

C. Ones

d)

D. Tens

21.

Convert 0.75 to a fraction.

a)

A. 3/4

b)

B. 1/4

c)

C. 2/5

d)

D. 4/5

22.

Convert 3/5 to percentage.

a)

A. 60%

b)

B. 30%

c)

C. 50%

d)

D. 75%

23.

What is 15% of 200?

a)

A. 30

b)

B. 25

c)

C. 35

d)

D. 20

24.

How many lines of symmetry does a square have?

a)

A. 2

b)

B. 3

c)

C. 4

d)

D. 6

25.

Which figure has only one pair of parallel sides?

a)

A. Square

b)

B. Trapezoid

c)

C. Rectangle

d)

D. Rhombus

26.

What is the mean of 2, 4, 6, 8, 10?

a)

A. 5

b)

B. 6

c)

C. 7

d)

D. 8

27.

The list below shows the amount of money Hana earned mowing lawns for the past five weeks.

$40, $15, $20, $40, $35

What is the mode?

a)

$15

b)

$20

c)

$35

d)

$40

28.

Find the median, mode and range of:

3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:9 range:8

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

29.

What is the minimum value?

a)

64

b)

58

c)

66

d)

61

30.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

31.

Find the square of 6.

a)

A. 12

b)

B. 36

c)

C. 18

d)

D. 24

32.

4³ = ?

a)

64

b)

12

c)

256

d)

81

33.

Evaluate:
2 + (8 - 4) + 3² * 3

a)

36

b)

35

c)

33

d)

24

34.

A printer prints 75 pages in 5 minutes. At the same rate, how many pages will the printer print in 7 minutes?

a)

15 pages

b)

75 pages

c)

105 pages

d)

225 pages

35.

This is the prime factorization of number 20

a)

2 X 10

b)

2 X 2 X 5

c)

4 X 5 X 1

d)

4 X 5

36.

What is the sum of 15.456 + 5.87 ?

a)

20.226

b)

21.226

c)

20.326

d)

21.326

37.

What is the difference of 9.3- 6.45 ?

a)

3.15

b)

3.95

c)

2.85

d)

2.75

38.

Which is the product of 3.5 X 4 ?

a)

14

b)

12

c)

14.5

d)

12.5

39.

$20.85\div5$ Which is the result of

a)

4.17

b)

41.7

c)

0.417

d)

417

40.

Which is the perimeter of a triangle which sides are 4cm, 7cm, and 10cm ?

a)

280 cm

b)

140 cm

c)

21 cm

d)

14 cm

41.

which of the following is a prime number?

a)

33

b)

43

c)

93

42.

$\frac{8}{10\ }+\ \frac{4}{10}$

a)

$\frac{12}{20}$

b)

$\frac{12}{10\ }$

c)

$1\ \frac{2}{10}$

d)

$1\ \frac{2}{20}$

e)

$\frac{4}{10}$

43.

a)

1/12

b)

1

c)

2/35

d)

23/25

44.

What fraction is red?

a)

1/2

b)

1/3

c)

2/3

d)

2/4

45.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

46.

Solve $\frac{5}{8}\div\frac{2}{9}=$

a)

$16\frac{1}{2}$

b)

$9\frac{2}{5}$

c)

$2\frac{13}{16}$

d)

$2\frac{8}{9}$

47.

Multiply: 1/2 × 3/4

a)

A. 3/8

b)

B. 2/6

c)

C. 1/4

d)

D. 5/6

48.

How many sides does a Hexagon have?

a)

6

b)

4

c)

3

d)

9

49.

A square is a Polygon.
True or False?

a)

True

b)

False

50.

Q3.

Knowledge

Choose the word that correctly completes the sentence:

An angle that measures 90^o is called _____________.

a)

Obtuse

b)

Right

c)

Acute

d)

Straight

51.

Q5.

Knowledge

Choose the word that correctly completes the sentence:

A triangle that has all unequal sides is said to be ____________.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Other

52.

Q6.

Knowledge

Choose the word that correctly completes the sentence:

A __________ is a polygon with 4 sides.

a)

Quadrilateral

b)

Triangle

c)

Pentagon

d)

Decagon

53.

Q8.

Knowledge

Choose the word that correctly completes the sentence:

The sum of all the sides of a geometric figure is called ______________.

a)

Quantity

b)

Area

c)

Perimeter

d)

Volume

54.

Q.16 Communication

The value of 5² is:

a)

25

b)

10

c)

7

d)

3

55.

The value of:

\sqrt{144}

a)

10

b)

8

c)

12

d)

9

56.

The value of:

\sqrt{81}

a)

12

b)

9

c)

10

d)

Other

57.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

58.

1/4 of the eggs in an egg carton are cracked. What percent of the eggs are cracked?

a)

66%

b)

33%

c)

30%

d)

25%

59.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

60.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

61.

Which of the following are equal to $6^3$ ?

a)

3 x 3 x 3 x 3 x 3 x 3

b)

6 x 6 x 6

c)

18

d)

216

e)

729

62.

Which quadrant would the coordinate pair (-3, -2.5) be placed in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

63.

What is the ordered pair for point T?

a)

(3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(- 3, 3)

64.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

65.

Which of the following is an IMPROPER FRACTION?

a)

¹²/₇

b)

⁷/₁₂

c)

³/₇

d)

¹/₅

Grade 7 Math Diagnostic Test

Total questions: 65

Worksheet time: 49mins

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