Free Printable Model test 4

1.

In a class of 10 boys and 14 girls the ratio of girls to boys is

a)

10 : 14

b)

1 : 2

c)

7 : 5

d)

5 : 7

2.

What ratio is equivalent to 3:5

a)

30 : 500

b)

9 : 15

c)

13 : 1 5

d)

1 : 2

3.

5 / 7 = ? / 56

a)

8

b)

4

c)

40

d)

35

4.

Share 150 sweets in the ratio 3:7:5

a)

15:35:25

b)

30:50:70

c)

30:70:50

d)

13:17:15

5.

A bag of potatoes that cost 28 lei for 5 kg is how much for 2 kg?

a)

14lei

b)

12:2lei

c)

5.6lei

d)

11.2lei

6.

Share 100 in the ratio 7 : 10 : 3

a)

70 : 100 :30

b)

35 : 50 : 15

c)

14 : 20 : 6

d)

700 : 1000 : 300

7.

Convert 0.81 to a percent

a)

0.81%

b)

0.18%

c)

8.1%

d)

81%

8.

What is 10% of $100?

a)

10

b)

$10

c)

1

d)

£1

9.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

10.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3:5

b)

1:3

c)

3:11

d)

3:10

11.

Determine the ratio of the following
'30 minutes to 2 hours'

a)

30 : 2

b)

1 : 4

c)

1 : 6

d)

None of the above

12.

Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18

a)

TRUE

b)

FALSE

13.

The angles of a triangle are in the ratio 1 : 2 : 3. The angles are

a)

45⁰ , 45⁰, 90⁰

b)

30⁰, 60⁰, 90⁰

c)

90⁰, 60⁰, 30⁰

d)

30⁰, 90⁰, 60⁰

14.

What number is 60%of 25?

a)

1.5

b)

15

c)

13

d)

13.6

15.

Write the ratio as a fraction in simplest form.
15 girls to 6 boys

a)

5 to 2

b)

5/3

c)

3 to 5

d)

5/2

16.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

17.

56% of Y is 182. What is Y ?

a)

325

b)

125

c)

225

d)

425

18.

a:b = 3:7 and b:c = 9:5 what is a:b:c ?

a)

27:63:35

b)

35:27:63

c)

63:35:27

19.

Write 11/25 as a percent

a)

11%

b)

44%

c)

22%

d)

55%

20.

What is 20% of 75?

a)

15

b)

60

c)

6

d)

1.5

21.

What is the value of 8!

a)

40320

b)

36

c)

362880

d)

5040

22.

How many ways can 6 bicycles be parked in a row?

a)

720

b)

70

c)

600

d)

12

23.

How many ways can the letters MATH be arrange?

a)

24

b)

3,125

c)

25

d)

100

24.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

25.

₂₀P₂

a)

20

b)

380

c)

6840

d)

116280

26.

What does ₁₀P₅mean?

a)

Permutations with 5 choices and 10 positions

b)

Permutations with 10 choices and 5 positions

c)

Permutations with 5 numbers and 10 operations

d)

Permutations with 5 hot dogs and 10 drinks

27.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

28.

₁₂C₃

a)

0

b)

1

c)

220

d)

1140

29.

₁₅C₂

a)

15

b)

105

c)

455

d)

1365

30.

How many ways can you arrange 2 letters from the word
S Q U A R E?

a)

30

b)

140

c)

320

d)

45

31.

How many different arrangements can be made from WATER?

a)

5

b)

120

c)

10

d)

0

32.

How many different arrangements can be made from COLLEGE?

a)

28

b)

720

c)

5040

d)

35280

33.

Simplify the expression 6!/2!

a)

12

b)

360

c)

30

d)

10

34.

Simplify the expression 7!/4!

a)

18

b)

260

c)

210

d)

24

35.

What is the formula for Permutations?

a)

n!

b)

^n!∕_(n-r)!

c)

^n!∕_(n-r)!_r!

d)

^r!∕_{(r-n)! n!}

36.

What is the formula for Combinations?

a)

^n!∕_(n-r)!_r!

b)

^n!∕_(n-r)!

c)

^r!∕_{(r-n)! n}_!

d)

n!

37.

7!

a)

4050

b)

5400

c)

5040

d)

4500

38.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

a)

90

b)

100

c)

12

d)

24

39.

8!

a)

120

b)

720

c)

5040

d)

40320

40.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

41.

Find the number of ways of arranging 6 different encyclopedias on a shelf

a)

5!

b)

6!

c)

7!

d)

8!

42.

The space inside an object is called it's

a)

area

b)

perimeter

43.

Work out the area of this rectangle...

a)

40 cm²

b)

26 cm²

c)

48 cm²

d)

32 cm²

44.

Find the perimeter.

a)

2.4 ft

b)

6.4 ft

c)

5.76 ft

d)

1.2 ft

45.

What is the area of a rectangle with side lengths 2 by 8?

a)

28

b)

16

c)

10

d)

14

46.

What shape is this?

a)

Rectangle

b)

Parallelogram

c)

Trapezoid

d)

funny

47.

a)

35 in²

b)

2 in²

c)

12 in²

d)

35 in

48.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

49.

Find the area of a square with sides 7 cm long.

a)

28 cm²

b)

16 cm²

c)

49 cm²

d)

42 cm²

50.

The perimeter of a square is 48 feet. What is the area?

a)

12 ft²

b)

144 ft²

c)

2304 ft²

d)

96 ft²

51.

What is the perimeter of this parallelogram?

a)

18 units

b)

22 units

c)

24 units

52.

A perimeter of a rectangle is 20 meters. The width is 4 meters. What would the length be?

a)

6 m

b)

13 m

c)

15 m

d)

5 m

53.

The distance around an object is called the

a)

area

b)

perimeter

54.

Which number represents the height?

a)

5

b)

4

c)

10

d)

19

55.

a)

Area of a square

b)

Area of a rectangle

c)

Area of a triangle

d)

Area of a parallelogram

56.

a)

Area of a rectangle

b)

Area of a triangle

c)

Area of a parallelogram

d)

Area of a trapezoid

57.

a)

Area of a square

b)

Area of a triangle

c)

Area of a trapezoid

58.

a)

A = 15 cm²

b)

A = 15 cm

c)

A = 16 cm²

d)

A = 8 cm²

59.

a)

A = 19 cm²

b)

A = 39 cm²

c)

A = 78 cm²

d)

A = 120 cm²

60.

What is the area of this square?

a)

169 ft²

b)

209 ft²

c)

196 ft²

d)

260 ft²

61.

What is area of this shape?

a)

90m

b)

90m²

c)

900m²

d)

900m

62.

Calculate the area of this shape

a)

345cm²

b)

76cm²

c)

38cm²

d)

175cm²

63.

What is the area of this shape?

a)

160 sq ft

b)

26 sq ft

c)

80 sq ft

d)

52 sq ft

64.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

65.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

66.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

67.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

68.

Find the length of line segment AB given A(4, 3) and B(0, 6).

a)

3

b)

4

c)

5

d)

7

69.

What is the center of MN given M(3, -1) and N(7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

70.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

71.

Find the length between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

72.

The length between (3, 8) and (-2, -4) is ______?

a)

√17

b)

13

c)

17

d)

169

73.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

74.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

75.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

76.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

77.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

78.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

79.

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

a)

1

b)

-3

c)

3

d)

-1

80.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

81.

Determine the slope.

a)

m=1/7

b)

m=-1/7

c)

m=-7

d)

m=7

82.

What is the slope formula?

a)

b)

c)

d)

83.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

84.

Use Heron's Formula to find the Area.

a)

50 m²

b)

48 m²

c)

60 m²

d)

120 m²

85.

Find the coordinates of the centroid of the triangle whose vertices are V(-7, -6), T(-8, 0) and W(0,0)

a)

(-3, -7)

b)

(-5, -2)

c)

(-3, -9)

d)

(-5, -2.5)

86.

Find the coordinates of the centroid of the triangle whose vertices are V(-7, -6), T(-8, 0) and W(0,0)

a)

(-3, -7)

b)

(-5, -2)

c)

(-3, -9)

d)

(-5, -2.5)

87.

Find the coordinates of the centroid of the triangle whose vertices are l(0, -6), M(-10, -6) and N(1,0)

a)

(3, 4)

b)

(3, -4)

c)

(-3, 4)

d)

(-3, -4)

88.

Find the coordinates of the centroid of the triangle whose vertices are S(0, 0), P(1, 3) and D(-2,0)

a)

(1/3, 1)

b)

(- 1/3, 1)

c)

(- 1/3, -1)

d)

(1/3, -1)

89.

Find the coordinates of the centroid of the triangle whose vertices are E(6, -3), T(-5, -3) and P(6,-1)

a)

(7/3, -7/3)

b)

(-7/3, -7/3)

c)

(7/3, 7/3)

d)

None of the above

90.

The three medians of a triangle meet at a point of concurrency called the ____________.

a)

center point

b)

midpoint

c)

centroid

d)

median point

91.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

92.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

93.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

94.

Find the slope of the straight line $2x-6y+9=0$ .

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

95.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

96.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

97.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

98.

$4x+6y=0$
What is the gradient of the straight line above?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

4

d)

6

99.

$y=2x+3$
What is the y-intercept of the above equation

a)

2x

b)

-3

c)

3

d)

2

100.

How many faces does the shape below have?

a)

2

b)

4

c)

6

d)

8

Model test 4

Total questions: 100

Worksheet time: 4hrs 53mins

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