Free Printable Quarter 1 RECAP

1.

Classify the number: -23

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

2.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

3.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

4.

Classify the number: 0

a)

natural, whole, integer, rational, real

b)

integer, irrational, real

c)

irrational, real

d)

whole, integer, rational, real

5.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

6.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

7.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

8.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

9.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

10.

Classify the Number: 2.587

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

11.

Natural numbers are:

a)

1.5, 2, 2.5, 3, . . .

b)

0,1,2,3,4,5...

c)

1, 2, 3, 4, . . .

d)

. . . , -2, -1, 0, 1, 2, . . .

12.

Which number is an irrational number?

a)

2.33333 . . .

b)

5.72314.....

c)

5.72

d)

5²

13.

Classify the number: √49

a)

natural, whole, integer, rational, real

b)

irrational, real

c)

whole, integer, rational, real

d)

rational, real

14.

Classify the number: 17/4

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

whole, integer, rational, real

d)

rational, real

15.

A number can be rational and irrational.

a)

True

b)

False

16.

All whole numbers are integers.

a)

False

b)

True

17.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

18.

Which of the following statements is always true?

a)

All integers are whole numbers

b)

all rational numbers are integers

c)

some whole numbers are not rational numbers

d)

all whole numbers are integers

19.

Is √2 Irrational?

a)

Yes

b)

No

20.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

21.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

22.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

23.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

24.

Side c on a right triangle is ALWAYS the longest.

a)

True

b)

False

25.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

26.

Is this a right triangle

a)

Yes

b)

No

27.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

28.

What is the opposite of squaring a number

a)

divide

b)

multiply

c)

square root

d)

fractions

29.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

30.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

31.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

32.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

33.

What is the diagonal length of the iPad?

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

34.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

35.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

a)

26.5 yards

b)

10 yards

c)

50 yards

d)

46.7 yards

36.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

37.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

38.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

39.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

40.

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

a)

21

b)

19

c)

26

d)

30

41.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

42.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

43.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

44.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

45.

True or False: When determining whether or not 3 side lengths form a right triangle, add the side lengths of the legs to see if the sum is equal to the length of the hypotenuse.

a)

true

b)

false

46.

If a = 10 and b = 15, what the area of the red square?

a)

325

b)

18

c)

100

d)

225

47.

10, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

48.

2, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

49.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

50.

What is the algebraic notation of a figure is Translated 6 units right and 5 units up?

a)

(x, y) --> (x - 6, y + 5)

b)

(x, y) --> (x + 6, y + 5)

c)

(x, y) --> (x + 5, y - 6)

d)

(x, y) --> (6x, 5y)

51.

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

a)

(x, y) --> (x - 2, y - 5)

b)

(x, y) --> (x + 2, y + 5)

c)

(x, y) --> (x + 5, y - 2)

d)

(x, y) --> (5x, 2y)

52.

What does this transformation say to do?

(x, y) -----> (x, y + 4)

a)

slide down 4 units

b)

slide up 4 units

c)

slide right 4 units

d)

slide left 4 units

53.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

54.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

55.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

56.

Write the rule for this translation:
Slide 3 up and 2 right

a)

(x, y)---->(x + 3, y + 2)

b)

(x, y)-----> (x+2, y + 3)

c)

(x, y)----> (x - 2, y + 3)

57.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

58.

Point M is translated using this rule.
(x, y) ----> (x - 1, y)
How was it translated?

a)

1 unit down

b)

1 unit up

c)

1 unit right

d)

1 unit left

59.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

60.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 4 units down and 4 units to the left

d)

Translate 8 units to the right and 2 units down

61.

Determine how to translate the algebraic representation: x,y --> ( x + 5, y - 8)

a)

Translated 5 units to the left and 8 units down

b)

Translated 8 units to the right and 5 units down

c)

Translated 5 units to the right and 8 units down

d)

Translated 8 units to the right and 5 units down

62.

Determine how to translate the algebraic representation: x,y --> ( x + 2, y - 9)

a)

right two, up nine

b)

right two, down 9

c)

left two, down 9

d)

left two, up 9

63.

$\left(x,y\right)\rightarrow\left(x-8,y-9\right)$

a)

Translation

8 down & 9 left

b)

Translation

8 up & 9 right

c)

Translation

8 right & 9 up

d)

Translation

8 left & 9 down

64.

$\left(x,y\right)\rightarrow\left(x+9,y+8\right)$

a)

Translation

9 right & 8 up

b)

Translation

9 up & 8 right

65.

$\left(x,y\right)\rightarrow\left(x-9,y+8\right)$

a)

Translation

9 up & 8 left

b)

Translation

9 down & 8 right

c)

Translation

9 left & 8 up

d)

Translation

9 right & 8 down

66.

$\left(x,y\right)\rightarrow\left(x+4,y-7\right)$

a)

Translation

4 left & 7 up

b)

Translation

4 right & 7 down

c)

Translation

7 left & 4 up

d)

Translation

7 right & 4 down

67.

$\left(x,y\right)\rightarrow\left(x-6,y+13\right)$

a)

Translation

6 left & 13 up

b)

Translation

6 right & 13 down

c)

Translation

13 left & 6 up

d)

Translation

13 right & 6 down

68.

$\left(x,y\right)\rightarrow\left(x-13,y+6\right)$

a)

Translation

13 left & 6 up

b)

Translation

13 right & 6 down

c)

Translation

13 up & 6 left

d)

Translation

13 down & 6 right

69.

What color is the x-axis?

a)

red

b)

black

c)

green

d)

white

70.

What color is the y-axis?

a)

red

b)

black

c)

green

d)

white

71.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

72.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

73.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

74.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

75.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

76.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

77.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

78.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

79.

Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.

a)

A’(5, -2)

b)

A’(-5, -2)

c)

A’(-5, -2)

d)

A'(5,2)

80.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

81.

What is the rule for the following reflection?

a)

Reflection across x-axis

b)

Reflection across y-axis

c)

Reflection across y = x

d)

Reflection across y = −x

Quarter 1 RECAP

Total questions: 81

Worksheet time: 3hrs 4mins

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