Free Printable Tutor- 7th grade

1.

Round 123,456 to the hundred thousands place.

a)

100,000

b)

123,000

c)

120,000

d)

110,000

2.

Round 12,658 to the tens place.

a)

12,000

b)

60

c)

12,660

d)

12,650

3.

Round 1,295,631 to the hundreds place.

a)

1,000,000

b)

600

c)

1,295,600

d)

1,295,7000

4.

Round 79,854 to the thousands place.

a)

79,000

b)

10,000

c)

80,000

d)

9,000

5.

What is 35 rounded to the nearest ten?

a)

30

b)

40

c)

50

d)

45

6.

Round 27,463 to the nearest thousand.

a)

27,000

b)

28,000

c)

28,463

d)

20,000

7.

Round 384,237 to the nearest thousand.

a)

385,000

b)

384,237

c)

400,000

d)

384,000

8.

How many significant figures are in this number ?

956

(a)

9.

How many significant figures are in this number ?

4390

(a)

10.

Round 1067 to 1 Significant Figure.

a)

1000

b)

1100

c)

1007

d)

1

11.

Round 4587 to 1 Significant Figure.

a)

4000

b)

5

c)

5000

d)

4600

12.

What is 7.555 rounded to two significant figures?

a)

7.6

b)

7.5

c)

70

d)

76

e)

7.60

13.

Round 52689 to 3 significant figures.

a)

526

b)

527

c)

52600

d)

52700

14.

Round the following value to one significant figure...

8291

a)

8000

b)

9000

c)

7000

d)

8300

15.

Round 509.96 to 4 significant figures

a)

509.9

b)

509.0

c)

510.0

d)

510

16.

What is 375.6523 to four significant figures?

a)

375.0

b)

375.00

c)

375.7

d)

375.6

17.

Round 1099 to three significant figures.

a)

1.10 x 10³

b)

101

c)

1010

d)

1,000

e)

1100

18.

Round the following value to one significant figure...

15

a)

10

b)

20

c)

100

d)

2

19.

What is the 2nd significant figure in this number

18903

a)

0

b)

1

c)

8

d)

9

20.

Estimate using a one figure approximation:

41 965 + 57 840

(a)

21.

Estimate using a one figue appximation:

58 x 3102

(a)

22.

Estimate using a one figure approximation

376 x 2308

(a)

23.

Estimate using a one figure approximation:

$3876\ \div\ 792$

(a)

24.

Estimate using a one figure approximation

$7139\div19$

(a)

25.

There are 11 biscuits in a pack. Estimate how many biscuits are in a crate containing 138 packs.

(a)

26.

Mark has just picked 291 avocados from a tree in his orchard. The orchard has 9 rows of avocado trees, with 21 trees in each row.

Estimate the number of avocados in Mark's orchard.

(a)

27.

2x2x2x2x2=

a)

$2^4$

b)

$2^2$

c)

$2^5$

d)

$16$

28.

What is 6⁷in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6

c)

6 x 7

29.

Write in index notation. 7 x 7 x 7 x 7 x 7 x 10

a)

7⁵+ 10

b)

7⁵x 10

c)

7⁵x 10¹

30.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

31.

What is 3^₂in expanded form?

a)

3 x 2

b)

3 + 2

c)

3 x 3

32.

What is 6⁷in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6

c)

6 x 7

33.

Solve 5³

a)

8

b)

15

c)

75

d)

125

34.

Solve 9³

a)

729

b)

27

c)

12

d)

525

35.

Which number is the BASE?

2³

a)

2

b)

3

c)

8

d)

not here

36.

Which number is the EXPONENT?

4²

a)

4

b)

2

c)

16

d)

not here

37.

The LCM of 20 and 8 is (a)

38.

What is the largest factor of 18 that is also a factor of 72?

(a)

39.

(a) numbers are calculated by multiplying a number by itself.

40.

12²

a)

144

b)

134

c)

122

d)

145

41.

Which 3 numbers are square numbers?

a)

8x8=64

b)

5x4=20

c)

7x7=49

d)

9x9=81

42.

How do I find a square number?

a)

I subtract numbers.

b)

Adding any 2 numbers together

c)

I multiply any 2 numbers.

d)

I multiply a number times itself.

43.

4²-2²=

a)

12

b)

2

c)

4

d)

20

44.

True or false? 9² is 18

a)

True

b)

False

45.

What is $1^2$

a)

0

b)

1

c)

2

d)

11

46.

14 + (22 - 2) =

a)

34

b)

37

c)

40

47.

20 x 2 - (10 - 4)

a)

22

b)

30

c)

34

48.

Solve:
(32 ÷ 8) + 27 - 11

a)

10

b)

20

c)

30

49.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

50.

Which operation is performed SECOND?
44 ÷ 2 X (3 -1)

a)

muliplication X

b)

division ÷

c)

subtraction -

51.

Which operation is performed SECOND :
38 + (9 x 6) ÷ 3

a)

multiplication

b)

addition

c)

division

52.

Solve:
38 + (9 x 6) ÷ 3

a)

40

b)

65

c)

56

53.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

54.

24 ÷ 6 + 4²

a)

12

b)

2

c)

20

55.

3 x 2² + 24 ÷ 8

a)

15

b)

10.5

c)

4.5

56.

What does cubed mean?

a)

Multiply the factor times itself two times.

b)

Multiply the factor times two.

c)

Multiply the factor times three.

d)

Multiply the factor times itself three times.

57.

We name a ray by its _______ point.

a)

middle

b)

first

c)

end

d)

last

58.

An angle that forms a square corner is called

a)

a right angle

b)

an acute angle

c)

an obtuse angle

d)

a straight angle

59.

a)

a ray

b)

perpendicular lines

c)

intersecting lines

d)

parallel lines

60.

a)

parallel lines

b)

perpendicular lines

c)

intersecting lines

d)

a ray

61.

What is this?

a)

Points

b)

Dots

c)

Lines

d)

Line segment

62.

What is this?

a)

Lines

b)

Line segments

c)

Points

d)

End caps

63.

What does the image show?

(The whole thing, not just the points)

a)

a ray

b)

parallel lines

c)

al line

d)

line segment

64.

A _____ is straight and extends in both directions forever.

a)

point

b)

line

c)

line segment

d)

ray

65.

Which of the following has two end points?

a)

Line segment

b)

Ray

c)

Line

d)

Point

66.

When two rays share a common end point, they form _________________.

a)

an angle

b)

a puzzle

c)

an X

d)

line segment

67.

An angle which measures less than

90\degree

is called what?

a)

$180\degree$

b)

Obtuse

c)

Reflex

d)

acute

68.

Any angle measuring between

90\degree\ and\ 180\degree

is called _________ angle

a)

a reflex

b)

an obtuse

c)

a straight

d)

a right

69.

Any angle measuring between

180\degree\ and\ 360\degree

is called _________ angle

a)

an obtuse

b)

a reflex

c)

a straight

d)

a right

70.

Use geometric terms to describe what is shown.

a)

plane

b)

parallel lines

c)

perpendicular lines

d)

point

71.

This picture shows a ______.

a)

Ray

b)

Angle

72.

The correct name for this angle is _________.

a)

<BAC

b)

<ABC

73.

The black arrow is pointing to the _____.

a)

Vertex

b)

Ray

74.

What is the best term to describe this image?

a)

intersecting lines

b)

perpendicular lines

c)

parallel lines

d)

arrows

75.

What does this image show?

a)

parallel lines

b)

perpendicular lines

c)

intersecting lines

d)

line segments

76.

What is the correct name for this angle?

a)

$\angle A$

b)

$\angle C$

c)

$\angle AC$

d)

$\angle ABC$

e)

$\angle CAB$

77.

Right, acute, or obtuse?

a)

Acute

b)

Right

c)

Obtuse

78.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

79.

This angle is written as......

a)

∠ABC

b)

∠ACB

c)

∠BCA

d)

∠CAB

80.

The corners of this road sign are what type of angles?

a)

Obtuse

b)

Acute

c)

Straight

d)

Right

81.

Which could be the measurement of an acute angle?

a)

0

b)

35

c)

180

d)

90

82.

What is the value of angle a?

a)

Not enough information

b)

65

c)

Vertically Opposite

d)

115

83.

What is the value of angle a?

a)

145

b)

135

c)

125

d)

45

84.

What is the value of angle a?

a)

30

b)

150

c)

70

d)

60

85.

What is the value of angle a?

a)

15

b)

25

c)

105

d)

20

86.

What is the value of angle a?

a)

130

b)

90

c)

40

d)

50

87.

What is the value of angle a?

a)

230

b)

60

c)

260

d)

240

88.

What is the value of angle a?

a)

150

b)

140

c)

130

d)

40

89.

a)

50

b)

130

c)

140

d)

40

90.

What is the value of angle a?

a)

30

b)

90

c)

25

d)

60

91.

Is this diagram correct ?

a)

Yes

b)

No - because they don't add up to 360⁰

c)

No - because they don't add up to 180°

92.

Calculate x

a)

63º

b)

43º

c)

53º

d)

33º

93.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

94.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

95.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

96.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

97.

True or false? Angles around a point add up to 360°.

a)

True

b)

False

98.

Angles around a (a) add up to 360º

99.

Calculate x

a)

41º

b)

61º

c)

241º

d)

16º

100.

Calculate x

a)

63º

b)

267º

c)

93º

d)

193º

101.

What steps do I need to calculate angle x ? (tick one or more boxes for the correct answers)

a)

(161º + 158º) ÷ 2 = 159.5º

b)

161º + 158º = 319º

c)

180º - 161º + 158º

d)

360º - 319º = 41º

102.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

103.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

104.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

105.

a)

∠1 & ∠2
are corresponding angles

b)

∠2 & ∠4
are corresponding angles

c)

∠5 & ∠8
are corresponding angles

d)

∠1 & ∠5
are corresponding angles

106.

a)

∠1 & ∠8
are alternate interior angles

b)

∠2 & ∠3
are alternate interior angles

c)

∠4 & ∠5
are alternate interior angles

d)

∠7 & ∠4
are alternate interior angles

107.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

108.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

109.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

110.

What is the relationship between $\angle1$ and $\angle5$ ?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Linear Pair

d)

Vertical Angles

111.

What is the relationship between $\angle4$ and $\angle5$ ?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Linear Pair

and Supplementary

d)

Vertical Angles

112.

What is the relationship between $\angle7$ and $\angle5$ ?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Linear Pair

d)

Vertical Angles

113.

What is the relationship between $\angle2$ and $\angle6$ ?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Linear Pair

d)

Vertical Angles

114.

What is the relationship between $\angle2$ and $\angle8$ ?

a)

Alternate Interior Angles

b)

Supplementary Angles only

c)

Same Side (Consecutive) Interior Angles

d)

Vertical Angles

115.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

116.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

117.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

118.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

119.

12 - (-12)

a)

24

b)

-24

c)

0

d)

-144

120.

How would -9 -(-5) look like as an addition problem?

a)

-9 + (-5)

b)

9 + 5

c)

-9 + 5

d)

9 + (-5)

121.

When multiplying or dividing a NEGATIVE and a POSITIVE number, your result will be...

a)

Positive

b)

Negative

c)

The sign of the larger absolute value

d)

The sign of the smaller absolute value

122.

Seventy feet above sea level

a)

positive

b)

negative

123.

A decrease of 5 inches.

a)

positive

b)

negative

124.

A bank withdraw of $25.00.

a)

positive

b)

negative

125.

Negatives numbers are right or left of zero?

a)

right

b)

left

126.

Without using a number line, which choice shows from least to greatest.

a)

-75, -83, -73, -51

b)

-73, -75, -51, -83

c)

-75, -83, -51, -73

d)

-83, -75, -73, -51

127.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

128.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

129.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

130.

$-4\ \div\ -2$

a)

2

b)

-2

c)

8

d)

-6

131.

$81\ \div9$

a)

72

b)

9

c)

90

d)

-9

132.

$-72\div-9$

(a)

133.

-3(8)

a)

24

b)

5

c)

-5

d)

-24

134.

-9(-5)

a)

-14

b)

-45

c)

45

d)

14

135.

-9(3)

a)

-6

b)

-27

c)

27

d)

6

136.

$-4+\left(-3\right)$

a)

$7$

b)

$1$

c)

$-1$

d)

$-7$

137.

$-5+9$

a)

$-4$

b)

$4$

c)

$-14$

d)

$14$

138.

$7+\left(-3\right)$

a)

$-4$

b)

$4$

c)

$10$

d)

$-10$

139.

$-2+4$

a)

$-2$

b)

$2$

c)

$6$

d)

$-4$

140.

Choose all the correct answers.

10 is divisible by...

a)

11

b)

5

c)

2

d)

3

e)

7

141.

Choose all the correct answers.

24 is divisible by...

a)

11

b)

5

c)

2

d)

3

e)

7

142.

Choose all the correct answers.

28 is divisible by...

a)

11

b)

5

c)

2

d)

3

e)

7

143.

Choose all the correct answers.

30 is divisible by...

a)

11

b)

5

c)

2

d)

3

e)

7

144.

Which number does this rule apply to?

The last 2 digits must be divisible by _

a)

3

b)

4

c)

5

d)

6

145.

The sum of the digits must be divisible by _

a)

3

b)

4

c)

5

d)

6

146.

The number is divisible by _ if it's also divisible by 2 and 3.

a)

4

b)

5

c)

6

d)

9

147.

All of these numbers are divisible by 5 except for...

a)

75,395

b)

222,222,235

c)

984,940

d)

8,943,892

148.

Is 1,284,604 divisible by 2?

a)

Yes, because the sum of the digits is 20, which is an even number

b)

No, because 4 is an odd number

c)

Yes, because 4 is an even number

d)

No, because the it is not divisible by 3

149.

Is 816 divisible by 3?

a)

Yes

b)

No

150.

Is 36,928 divisible by 4?

a)

Yes, because the sum of the digits is a multiple of 4

b)

Yes because the last two digits, 28, is divisible by 4

c)

Yes, because it is an even number

d)

Yes, because it is divisible by 2 and 3

151.

Which of the following numbers is NOT divisible by 4?

a)

1000

b)

1566

c)

5740

d)

2024

152.

List the first 5 multiples of 3

a)

3, 6 10, 15, 20

b)

1, 3

c)

3, 6, 9, 12, 15

d)

6, 9, 12, 15, 18

153.

List the first 5 multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 25, 32, 40

c)

8, 16, 24, 32, 40

d)

8, 16, 24, 31, 40

154.

Is 2 a prime or composite number?

a)

Prime

b)

Composite

155.

Which one shows ALL of the factors of 6?

a)

1, 6, 12

b)

1, 2, 3, 6

c)

1, 2, 3,

d)

1, 6

156.

What is the HCF of 32 and 40?

a)

8

b)

80

c)

2

d)

16

157.

Find the LCM of 32 and 40.

a)

1080

b)

250

c)

160

d)

204

158.

The factors of 15 are...

a)

1, 3, 5

b)

0, 5, 3

c)

1, 15

d)

1, 3, 5, 15

159.

11 is a prime number...

a)

True

b)

False

160.

The Highest Common Factor (HCF) of 48 and 64 is:

a)

14

b)

8

c)

4

d)

16

Tutor- 7th grade

Total questions: 160

Worksheet time: 13hrs 20mins

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