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Form 3 Mathematics Coursework

Total questions: 80

Worksheet time: 13hrs 20mins

Name
Class
Date
1.
When bisecting an angle, the straightedge should be used to:
a)
Mark the point M
b)
Measure the angle AOB
c)
Copy the angle with an arc
d)
Connect point M and vertex O
2.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
3.
Given: angle A
What is the first step in constructing the angle bisector of angle A?
a)
Draw ray AD
b)
Draw a line segment connecting points B and C.
c)
From points B and C, draw equal arcs that intersect at D.
d)
From point A, draw an arc that intersects the sides of theangle at points B and C.
4.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
5.

Name the construction

a)

radius

b)

Rectangle

c)

Square

d)

Equilateral triangle

6.

Tina invested $2,000 in a simple interest account and earned 8% rate for 5 years. What is the interest that she earned on the account?

a)

$160

b)

$800

c)

$80,000

d)

$16

7.

Emilio borrows $1200 from a bank with 8.5% simple interest per year. How much will he have to pay back total in 2 years?

a)

$204

b)

$996

c)

$1,020

d)

$1,404

8.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
9.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
10.
If you are calculating the simple interest and you are given the time in months.  How can you find the time in years?
a)
divide 12 by the months
b)
divide the months by 12
c)
multiply 12 times the months
d)
change the months to a decimal
11.
What is 7.25% converted to a decimal?
a)
.725
b)
0.725
c)
0.0725
d)
7.25
12.
Maria borrowed $3,000 at a simple interest rate of 4% per year.  How much did she have to repay after 4 years?
a)
$480
b)
$3,480
c)
$4,800
d)
$7,800
13.

What is the best loan option if you need to borrow $1,000?

a)

3% simple interest for 5 years

b)

4% simple interest for 4 years

c)

5% simple interest for 3 years

d)

6% simple interest for 2 years

14.
Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time. What rate of interest did she pay?
a)
6%
b)
6%
c)
8%
d)
9%
15.
Principal = $500
Interest earned in 4 years = $60.
Find the interest rate.
a)
1%
b)
2%
c)
3%
d)
4%
16.

Find the balance in the account after the given period.

$3400 principal earning 3.6% compounded annually after 2 years

a)

$3,420.43

b)

$3,649.21

c)

$3,675.39

d)

$6,288.64

17.

In the compound interest formula A=P(1+r)t what does the A stand for?

a)

The amount of interest

b)

The total amount

c)

The interest rate

d)

The time

18.

In the compound interest formula A=P(1+r)t what does the P stand for?

a)

The time

b)

The total amount

c)

The principal amount (original amount)

d)

The interest rate

19.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

20.
What is the area of the shaded sector?
a)
145.31 cm2
b)
20.76 cm2
c)
581.25 cm2
d)
470.13 cm2
21.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm2

b)

23.6cm2

c)

156.7cm2

d)

88.4cm2

22.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
23.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

24.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
25.

What is the circumference of this circle?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

26.

Find the surface area of the figure.

a)

432 cm2

b)

378 cm2

c)

324 cm2

d)

374 cm2

27.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
28.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
29.

Find the volume of the Cylinder

a)

7230 cubic meters

b)

6621 cubic meters

c)

1130 cubic meters

d)

907 cubic meters

30.
What is surface area?
a)
The amount of stuff that can fit in an object.
b)
A 2D shape.
c)
A 3D shape.
d)
The sum of the areas of all the surfaces (faces) of a 3D shape.
31.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
32.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

74 cm2

d)

30 cm2

33.

A cereal box is 12cm tall.  The area of the base is 7cm sq.  What is the volume?

a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
34.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
35.
What is the formula for volume of a CYLINDER?
a)
V = π r²
b)
V = π r² h
c)
V =  ⅓ π r² h
d)
V =  ⅓ L W H
36.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
37.

What is the perimeter of a rectangle with length 2m and width 3m?

a)

6m

b)

10m

c)

12m

d)

5m

38.

The perimeter of a square is 36m. What is the length of one side of the square?

a)

8m

b)

18m

c)

9m

d)

3.6m

39.

An equilateral triangle has a side of 7cm. What is the perimeter of the triangle?

a)

14cm

b)

21cm

c)

28cm

d)

21m

40.

The perimeter of a rectangle is 20cm. The length of one side is 6cm. What is the width of one side?

a)

6cm

b)

4cm

c)

10cm

d)

3cm

41.
What is the perimeter of this shape?
a)
171cm
b)
314cm
c)
414cm
d)
514cm
42.

Tim's father is installing a pool in the backyard. The shape and dimensions are shown in the image. If he has to use caution tape to outline the edge of the pool during installation, what length of caution tape is required?

a)

(56+20π) m\left(56+20\pi\right)\ m

b)

(56+10π) m(56+10π)\ m

c)

(76+20π) m\left(76+20\pi\right)\ m

d)

66π m66\pi\ m

43.

How many hours are in a regular work week?

a)

30

b)

40

c)

50

d)

60

44.

If you earn $625/wk, what would be your annual pay?

a)

$7,500/yr.

b)

$16,250/yr.

c)

$2,500/yr.

d)

$32,500/yr.

45.

You are a clerk at a local convenience store. You make $10.20/hour. They will only give you 20 hours a week. Calculate your gross pay.

a)

$408

b)

$200

c)

$1,428

d)

$204

46.

What do I multiply to find the time and a half rate?

a)

Overtime rate and 2

b)

Regular hourly rate and 1.5

c)

Regular hourly rate and 2

d)

Regular wages and 1.5

47.
Alice worked 52 hours this week. She gets paid $9.35 per hour for the first 40 hours and then gets time-and-a-half for the rest of the time. How much money did she make this week?
a)
$484.64
b)
$374.00
c)
$388.03
d)
$542.30
48.

DeVonte earns a regular hourly pay of $17.00. Working overtime he gets time and a half. What is DeVonte's total pay if he works 40 hours, plus 6 hours of overtime?

a)

$153.00

b)

$680.00

c)

$782.00

d)

$833.00

49.
the total amount of income you earn in a pay period before any deductions are taken out
a)
gross pay
b)
net pay
c)
wages
d)
salary
50.

x2+x5\frac{x}{2}+\frac{x}{5}  . Express as a single fraction.

a)

107x\frac{10}{7x}  

b)

y6\frac{y}{6}  

c)

7x10\frac{7x}{10}  

d)

x12\frac{x}{12}  

51.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
52.
Gary worked 47.75 hours this week. He gets paid $13.25 per hour for the first 40 hours and then gets double-time for the rest of the time. How much money did he make this week? 
a)
$735.38
b)
$632.69
c)
$684.03
d)
$705.35
53.
Earnings paid to an employee based on an hourly rate. 
a)
Commission
b)
Wages
c)
Salary
d)
Deductions
54.
An employee's fixed agreed yearly income. 
a)
Salary
b)
Deductions
c)
Wages
d)
Commission
55.
Total money you earn before taxes and other deductions.
a)
Salary
b)
Net income
c)
Gross income
d)
Wages
56.
The amount of money you actually receive after the deductions are taken from your gross income.
a)
Net income
b)
Deductions
c)
Wages
d)
Tax
57.
Vickie makes $40,000 annually.  If she pays 20% in income tax, what is the amount of income tax she will pay?
a)
8000
b)
80000
c)
2000
d)
1200
58.

Calculate the TOTAL amount that John pays for electricity consumption for the month of March 2016.

a)

$296

b)

$1509.60

c)

$15356.10

d)

$16865.70

59.

For the next month, April 2016, John pays $2351.10 for electricity consumption. Determine his meter reading at the end of April 2016.

a)

3768

b)

3472

c)

5658

d)

956

60.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

61.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
62.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
63.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
64.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
65.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
66.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
67.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
68.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
69.

7x < 49

a)

x > 7

b)

x < 7

c)

x > 2

d)

x < 42

70.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
71.
4x + 1 > 13
a)
x > 48
b)
x < 3
c)
x > 3.5
d)
x > 3
72.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
73.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
74.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
75.
Solve for x: 
2 - 4x = 3x - 12
a)
2
b)
-14
c)
10
d)
-2
76.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
77.
Solve for x:
12 = 20x - 18
a)
1
b)
-2
c)
-1
d)
2
78.

Simplify the expression 5−x−3x5-x-3x  

a)

1x1x  

b)

5+−2x5+-2x  

c)

22  

d)

5+−4x5+-4x  

79.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
80.

Simplify the expression: -5(x + 4)

a)

5x + 4

b)

-5x + 4

c)

-5x - 20

d)

-5x + 20

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