Free Printable Form 4 Term 3 Mathematics

1.

$1\frac{4}{7}+\frac{2}{3}\ -\ 1\frac{5}{6}\ =\$

Using a calculator, or otherwise, calculate the above giving your answer to THREE (3) decimal places.

(a)

2.

$\frac{\sqrt{64}}{4^2}$ Write the value of the expression as a decimal.

(a)

3.

The thickness of one sheet of cardboard is given as 4.85 mm. A construction worker uses 75 sheets of the cardboard, stacked together, to insulate a wall.

(a)

4.

Write 362.71 correct to 2 significant figures.

(a)

5.

Write 363.75 correct to one decimal place.

(a)

6.

Marko is on vacation in the Caribbean. He changes 4500 Mexican pesos (MXN) to Eastern Caribbean dollars (ECD). He receives 630 ECD. Complete the statement below about the exchange rate.

1 ECD = (a) MXN

7.

$12n^2\ -\ 4mn=$
Factorize the above.

(a)

8.

$\frac{x}{1-x}\ -\ 4x=0$ Solve completely. Write your answer only.

(a)

9.

Determine the value of angle WXY.

(a)

10.

Determine the value of angle ZVW.

(a)

11.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

12.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

13.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

14.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

15.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

16.

a)

8

b)

-24

c)

24

d)

-22

17.

a)

27

b)

21

c)

24

d)

72

18.

a)

24

b)

-6

c)

32

d)

36

19.

a)

30

b)

62

c)

14

d)

32

20.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

21.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

22.

What is the algebraic equation for this table?

a)

y = 480x

b)

x = y/480

c)

x + 480 = y

d)

480 - x = y

23.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

24.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

25.

Find the inverse
f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

26.

Find the inverse
f(x)= x⁴- 2

a)

∜(x+2)

b)

(x+2)⁴

c)

-1+2x⁴

d)

∜2x

27.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

28.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

29.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

30.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

31.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

32.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

33.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

34.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

35.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

36.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

37.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

38.

Based on the following pie chart, what does this household spend the LEAST amount of money on each month?

a)

Housing

b)

Gas

c)

Insurance

d)

Entertainment

39.

Based on the following pie chart, what is this household's total monthly income?

a)

$1900

b)

$2400

c)

$3100

d)

$3300

40.

Based on the following pie chart, what part of this household's total monthly income is spent on food?

a)

13%

b)

19%

c)

25%

d)

50%

41.

The histogram shows the ages of people in a community chorus. How many people in the chorus are younger than 40 years old?

a)

31

b)

14

c)

35

42.

The graph shows the average monthly income of a construction supply store in the year 2021.What is the income of the store in November and January?

a)

P25,000

b)

P35,000

c)

P40,000

d)

P45,000

43.

The graph shows the bags of cans recycled. Which day had the greatest number of bags recycled?

a)

Day 1

b)

Day 2

c)

Day 3

d)

Day 5

44.

How many students spent 7 hours doing homework that week?

a)

1

b)

3

c)

5

d)

6

45.

How many students have 12 Brothers and Sisters?

a)

4 students

b)

7 students

c)

0 students

d)

1 student

46.

Which interval has 400 employees?

a)

33-43

b)

0-10

c)

77-87

d)

66-76

47.

How many students were greater than or equal to 60 inches tall?

a)

21

b)

11

c)

17

d)

6

48.

What is an interval?

a)

A single number

b)

A range of numbers

c)

A percentage

d)

A total amount

49.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

50.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

51.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

52.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

53.

Determine the TOTAL number of students who wrote the examination.

(a)

54.

The ratio of the number of students who achieved a Grade I, II, or IV is 2:4:3. A student passed the examination if he/she achieved a Grade I, II, or III. How many students passed the examination?

(a)

55.

Determine the value of the angle for the sector representing Grade I in the pie chart.

(a)

56.

Calculate the volume of water in the tank.

(a)

57.

(Rectangular tank contains 30 000 cm³ of water.)

(a)

58.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

59.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

60.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

61.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

62.

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

a)

x=32 , y= 58

b)

x=29, y=58

c)

x=32 , y=32

63.

A, B, C and D are points on the circumference on a circle.Find the size of angle DAB.

a)

118

b)

62

c)

85

64.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

65.

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

a)

80

b)

45

c)

90

d)

180

66.

What type of triangle is the context of our study of trigonometry?

a)

right triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

67.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

68.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

69.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

70.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

71.

Find x if sin 22^o = 2/x.

a)

6.78

b)

0.75

c)

2.14

d)

5.34

72.

Identify the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

73.

Calculate the length of x?

a)

5

b)

7

c)

8

d)

25

74.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

75.

Calculate the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

76.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

77.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

78.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

79.

Find the missing side x

a)

30.4cm

b)

925cm

c)

42.3cm

d)

21.9cm

80.

Find the missing side x

a)

2.36cm

b)

9.21cm

c)

3.16cm

d)

4.51cm

81.

Find the missing angle θ

a)

68^o

b)

133^o

c)

116^o

d)

121^o

82.

Find the area of the triangle

a)

72.3cm²

b)

84.4cm²

c)

77.9cm²

d)

78cm²

83.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

84.

Find the area of the blue shaded sector.

a)

37.70 cm²

b)

6.28 cm²

c)

28.27 cm²

d)

9.42 cm²

85.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

86.

What is the area of the green shaded segment?

a)

$\left(16\pi\ -\ 32\right)cm^2$

b)

$\left(32-16\pi\right)\ cm\ ^2$

c)

$\left(64\pi-32\right)cm^2$

d)

$\left(32\pi-32\right)cm^2$

87.

What is the bearing of B from A

a)

025

b)

205

c)

25

d)

155

88.

What is
the Bearing
of C
from A?

a)

45

b)

225

c)

045

d)

135

89.

Find the true bearing of C from A.

a)

25°

b)

025°

c)

20°

d)

020°

90.

What is
the correct bearing?

a)

30

b)

330

c)

030

d)

60

91.

How many strawberries does Ed have?

a)

2

b)

1

c)

4

d)

6

92.

How many pencils are less than 7 inches long?

a)

12

b)

13

c)

8

d)

11

93.

How many more boys than girls have shoes that are 22 centimeters long?

a)

16

b)

2

c)

9

d)

4

94.

How many students ride in a car and walk to school combined?

a)

40

b)

50

c)

10

d)

30

95.

How many votes did reading receive?

a)

2

b)

4

c)

6

d)

8

96.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

97.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

98.

What is the equation of the line that has a slope of 3 and goes through the point (5,4)?

a)

y = 3x - 11

b)

y = 3x + 11

c)

x = 3

d)

y = -3x - 11

99.

Write the equation of a line with a slope of 0 through the point (3, -1).

a)

y = 3x - 1

b)

y = -1

c)

x = 3

d)

x = -1

100.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

Form 4 Term 3 Mathematics

Total questions: 100

Worksheet time: 5hrs 0mins

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