Free Printable year 8.2

1.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

2.

Write the improper fraction as a mixed number

¹²/₄

a)

3 ³/₄

b)

3 ¹/₄

c)

3

d)

4

3.

Write the improper fraction as a mixed number

²²/₃

a)

7 ²/₃

b)

7 ¹/₃

c)

7 ¹/₄

d)

7 ³/₄

4.

Write the improper fraction as a mixed number

³⁶/₄

a)

9 ¹/₄

b)

9 ³/₄

c)

8 ⁴/₄

d)

9

5.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

6.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

7.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

8.

Write the mixed number as an improper fraction

3 ⁴/₉

(a)

9.

Write the improper fraction as a mixed number

²⁷/₈

a)

3 ²/₈

b)

4 ³/₈

c)

8 ³/₄

d)

3 ³/₈

10.

Write the mixed number as an improper fraction

7 ⁵/₁₁

(a)

11.

Write the mixed number as an improper fraction

2 ³/₅

(a)

12.

Write the mixed number as an improper fraction

4 ⁵/₈

(a)

13.

Write the mixed number as an improper fraction

2 ¹/₄

(a)

14.

Brianna filled an bathtub with 6/8 gallon of water. Soon she realized that there was only 4/8 gallon of water. How much water leaked out of the tub?

a)

3/8

b)

2/8

c)

10/8

d)

10/12

15.

a)

1

b)

3

c)

9

d)

8

16.

Describe the rule for this sequence

5, 12, 19, 26......

a)

Add five each time

b)

Add seven each time

c)

Subtract seven each time

d)

Add 8 each time

17.

Describe the rule for this sequence

2, 4, 8, 16

a)

add 8 each time

b)

add 4 each time

c)

add 2 each time

d)

Double the previous term

18.

What is the missing term in this sequence

4, ....., 8, 10

a)

5

b)

6

c)

7

d)

8

19.

Fill in the missing term in this sequence

2, 5, ......, 11

a)

5

b)

6

c)

7

d)

8

20.

Find the next term in this sequence

6, 8,12,18.....

a)

20

b)

22

c)

26

d)

24

21.

What is the nth term rule for the following sequence

5, 8, 11, 14.....

a)

3n

b)

3n + 2

c)

3n - 2

d)

5n + 3

22.

What is the nth term rule of this sequence

9, 13, 17, 21....

a)

4n + 5

b)

9n

c)

5n + 4

d)

5n

23.

The nth term of a sequence is 4n + 1.

What are the first 4 terms of the sequence

a)

4, 8, 12, 16

b)

5, 9, 13, 17

c)

5, 6, 7, 8

d)

4, 5, 6, 7

24.

The nth term of a sequence is 3n + 5.

What are the first 4 terms of the sequence

a)

8, 11, 14, 17

b)

8, 13, 18, 23

c)

3, 6, 9, 12

d)

5, 10, 15, 20

25.

The nth term of a sequence is 2n - 1.

What are the first 4 terms of the sequence

a)

2, 4, 6, 8

b)

1, 2, 3, 4

c)

1, 3, 5, 7

d)

2, 5, 7, 9

26.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

27.

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

28.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

29.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

30.

Which of the following is an example of corresponding angles?

a)

$\angle8\ and\ \angle4$

b)

$\angle5\ and\ \angle7$

c)

$\angle1\ and\ \angle7$

d)

$\angle3\ and\ \angle5$

31.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

32.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

33.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

34.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

35.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

36.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

37.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

38.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

39.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

40.

a)

41°

b)

65°

c)

102°

d)

115°

41.

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

a)

2 pairs of vertical angles

b)

3 pairs of vertical angles

c)

4 pairs of vertical angles

d)

8 pairs of vertical angles

42.

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

a)

2 Linear Pairs

b)

4 Linear Pairs

c)

6 Linear Pairs

d)

8 Linear Pairs

43.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

a)

$\angle1\ and\ \angle2$

b)

$\angle2\ and\ \angle6$

c)

$\angle4\ and\ \angle8$

d)

$\angle3\ and\ \angle7$

44.

Suppose we assume that $\angle5\cong\angle1$ . What is true about $\angle1\ and\ \angle4$ ?

a)

$\angle1\ and\ \angle4$ form a linear pair, so are supplementary

b)

$\angle1\ and\ \angle4$ are adjacent angles which share a side

c)

$\angle1\cong\ \angle4$ because they are vertical angles

d)

$\angle1\ and\ \angle4$ are right angles

45.

So, if $\angle5\cong\angle1$ , and $\angle4\cong\angle1$ , what can we conclude?

a)

$\angle5\cong\angle4$ These are called Alternate Interior Angles. They are congruent if they are formed by parallel lines!

b)

Sweet!

c)

Cool.

d)

Right on.

46.

If $\angle5\ and\ \angle4$ are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

$\angle3\ and\ \angle2$

b)

$\angle6\ and\ \angle8$

c)

$\angle3\ and\ \angle6$

d)

$\angle1\ and\ \angle9$

47.

If $\angle5\ and\ \angle4$ and $\angle3\ and\ \angle6$ are both pairs of Alternate Interior Angles, click any Alternate Exterior Angles below.

a)

$\angle1\ and\ \angle8$

b)

$\angle2\ and\ \angle7$

c)

$\angle3\ and\ \angle2$

d)

$\angle7\ and\ \angle8$

48.

If these lines are parallel, $\angle2\cong\angle6$ because they're Corresponding Angles.
What is true about $\angle2\ and\ \angle4$ ?

a)

They are congruent

b)

They form vertical angles

c)

They form a linear pair

d)

They are non-adjacent angles

49.

If $\angle2\ and\ \angle4$ form a linear pair, then

a)

$\angle2\cong\angle4$

b)

$m\angle2+m\angle4=180\degree$

c)

$\angle2\ and\ \angle4$ are right angles

d)

They are non-adjacent angles

50.

If $\angle6\cong\angle2$ then $m\angle6=m\angle2$ . This means that we can substitute $m\angle6$ for $m\angle2$ anywhere!

a)

Roger that!

b)

Huh?

51.

So, if $m\angle2+m\angle4=180\degree$ and $m\angle6=m\angle2$ , we can substitute to get this equation: $m\angle6+m\angle4=180\degree$ . Conclude

a)

$\angle6\ and\ \angle4$ are complementary (sum to $90\degree$ )

b)

$\angle6\ and\ \angle4$ are supplementary (sum to $180\degree$ )

c)

$\angle6\ and\ \angle4$ are adjacent

d)

$\angle6\ and\ \angle4$ form a linear pair

52.

If lines are parallel, same side interior angles like $\angle4\ and\ \angle6$ are supplementary. Name another pair of same side interior angles.

a)

$\angle3\ and\ \angle2$

b)

$\angle5\ and\ \angle7$

c)

$\angle2\ and\ \angle8$

d)

$\angle3\ and\ \angle5$

53.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

54.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

55.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

56.

Supplementary angles always add up to

(a)

57.

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

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

58.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

59.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

60.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

61.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

62.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

63.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

64.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

65.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

66.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

67.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

68.

What formula is this used for:
πr²

a)

Circumference

b)

Area

c)

Surface Area

d)

Volume

69.

What formula is this used for:
πd

a)

Area

b)

Circumference

c)

Surface Area

d)

Volume

70.

Radius 6 cm
What is the diameter?

a)

36 cm

b)

12 cm

c)

6 cm

d)

3 cm

71.

Diameter 32 inches
What is the radius?

a)

16 inches

b)

64 inches

c)

96 inches
96 inches

d)

16 ft

72.

What formula is used to find the space
"inside" a flat object?

a)

Circumference

b)

Surface Area

c)

Area

d)

Volume

73.

What formula is used to find the distance around a circle?

a)

Area

b)

Surface area

c)

Circumference

d)

Volume

74.

Radius 5 in
Find the area of the circle.

a)

15.7 inches²

b)

31.4 inches²

c)

314 inches²

d)

78.5 inches²

75.

Diameter 14 inches
Find the area of a circle.

a)

615.44 in²

b)

153.86 in²

c)

43.96 in²

d)

87.92 in²

76.

Radius 4 inches
Find the circumference of the circle.

a)

25.12 in

b)

12.56 in

c)

50.24 in

d)

200.96 in

77.

Diameter 13.5 in
Find the circumference of the circle.

a)

84.79 in

b)

42.39 in

c)

21.195 in

d)

572.265 in

78.

A bicycle tire has a diameter of 20 inches. How many inches is one full revolution of the wheel?

a)

31.4 in

b)

1256 in

c)

125.6 in

d)

62.8 in

79.

A circle pool has a radius of 7.5 ft. Monica wants to know how many ft of a pool cover she needs to buy?

a)

23.55 ft²

b)

176.63 ft²

c)

47.1 ft²

d)

706.5 ft²

80.

Ray wants to build a fence around his circular garden outside. The garden has a radius of 6 ft. How many feet of fencing does he need?

a)

37.68 ft

b)

18.84 ft

c)

113.04 ft

d)

452.16 ft

81.

Trevor is making a tablecloth for a circular table with a diameter of 40 inches. How many inches of tablecloth does he need?

a)

125.6 in²

b)

251.2 in²

c)

1256 ft²

d)

1256 in²

82.

Other than the formula C=πd what is another formula for circumference of a circle?

a)

C=2π

b)

C=2πr

c)

C=πr²

d)

C=πd²

83.

Find the circumference, rounding your answer to 1d.p.

a)

31.4cm

b)

15.7cm

c)

62.8cm

d)

78.5cm

84.

Find the circumference, rounding your answer to 1d.p.

a)

21.9cm

b)

22.0cm

c)

44.0cm

d)

11.0cm

85.

Find the circumference, rounding your answer to 1d.p.

a)

9.4mm

b)

18.8cm

c)

18.8mm

d)

4.7mm

86.

Find the circumference, rounding your answer to 1d.p.

a)

18.8m

b)

37.7m

c)

9.4m

d)

18.8cm

87.

Find the circumference, rounding your answer to 1d.p.

a)

1.6m

b)

1.5m

c)

0.8m

d)

3.1m

88.

Find the circumference, rounding your answer to 1d.p.

a)

28.3cm

b)

28.2cm

c)

56.5cm

d)

56.6cm

89.

Find the circumference, rounding your answer to 1d.p.

a)

78.5cm

b)

39.2cm

c)

39.3cm

d)

490.9cm

90.

Find the circumference, rounding your answer to 1d.p.

a)

4.1m

b)

4.0m

c)

2.0m

d)

2.1m

91.

Find the circumference, rounding your answer to 1d.p.

a)

25.1cm

b)

12.5cm

c)

12.6cm

d)

6.3cm

92.

Find the circumference, rounding your answer to 1d.p.

a)

201.1cm

b)

100.5cm

c)

50.3cm

d)

100.5m

93.

Find the circumference, rounding your answer to 1d.p.

a)

50.3cm

b)

25.1cm

c)

50.3m

d)

25.1m

94.

Find the circumference, rounding your answer to 1d.p.

a)

34.6mm

b)

31.4mm

c)

34.5mm

d)

17.3mm

95.

Find the circumference, rounding your answer to 1d.p.

a)

157.1cm

b)

157.0mm

c)

314.2cm

d)

314.1mm

96.

Find the circumference, rounding your answer to 1d.p.

a)

43.9mm

b)

44.0mm

c)

21.9mm

d)

22.0mm

97.

Find the circumference, rounding your answer to 1d.p.

a)

223.0cm

b)

446.1cm

c)

223.1cm

d)

106.8cm

98.

Find the circumference in centimetres, rounding your answer to 1d.p.

a)

5.0cm

b)

502.7cm

c)

251.3cm

d)

2.5cm

year 8.2

Total questions: 98

Worksheet time: 2hrs 44mins

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