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Worksheets

math 5

Total questions: 75

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

The nth term of a sequence is 3 (2n + 4)

What is the value of the 3rd term?

a)

90

b)

30

c)

18

d)

21

2.

The nth term of a sequence is 3 (2n - 4)

What is the value of the 5th term?

a)

3

b)

30

c)

18

d)

63

3.

The nth term of a sequence is 2 (5n - 5)

What is the value of the 5th term?

a)

40

b)

100

c)

0

d)

10

4.

The nth term of a sequence is   n2n^2  

What is the value of the 6th term?

a)

12

b)

6

c)

7

d)

36

5.

The nth term of a sequence is   n2 + 4n^2\ +\ 4  

What is the value of the 10th term?

a)

18

b)

104

c)

24

d)

196

6.

The nth term of a sequence is   100 n2 100-\ n^2\  

What is the value of the 5th term?

a)

90

b)

93

c)

75

d)

70

7.

The nth term of a sequence is   2 (n2  1)2\ \left(n^2\ -\ 1\right)  

What is the value of the 2nd term?

a)

2

b)

4

c)

5

d)

6

8.

The nth term of a sequence is   2 (n3  1)2\ \left(n^3\ -\ 1\right)  

What is the value of the 2nd term?

a)

14

b)

10

c)

8

d)

6

9.

The nth term of a sequence is   4 (n3  3)4\ \left(n^3\ -\ 3\right)  

What is the value of the 3rd term?

a)

9

b)

12

c)

96

d)

24

10.

The nth term of a sequence is    (n3  25)2\ \frac{\left(n^3\ -\ 25\right)}{2}  

What is the value of the 5th term?

a)

112.5

b)

0

c)

-5

d)

50

11.
Which property is shown below?
__________________________
7n = 21 then n = 3
a)
Division Property
b)
Sorcery
c)
Reduction of Multiples
d)
Distributive Property
12.
If 2x - 5 = 10, then 2x = 15.
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Substitution
13.
If 3x = 15, then x = 5
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Multiplication Property of Equality
14.
x = x
a)
Transitive Property of Equality
b)
Symmetric Property of Equality
c)
Reflexive Property of Equality
d)
Division Property of Equality
15.
If y/4 = 5, then y = 20
a)
Multiplication Property of Equality
b)
Division Property of Equality
c)
Addition Property of Equality
d)
Subtraction Property of Equality
16.
If AB = CD and CD = EF, then AB = EF
a)
Symmetric Property of Equality
b)
Reflexive Property of Equality
c)
Transitive Property of Equality
d)
CLT or Simplify
17.
 If 3x + 4x - 5 = 10, then 7x - 5 = 10
a)
Addition Property of Equality
b)
CLT or Simplify
c)
Subtraction Property of Equality
d)
Transitive Property of Equality
18.
Name the property described:
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
19.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property         
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
20.
Name the property described:
m∠1=m∠1
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
21.
Which property is shown below?
__________________________
4(x+6) = 4x + 4(6)
a)
Reflexive
b)
Distributive
c)
Transitive
d)
Substitution
22.
Name the property described:
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
23.
If a = b, then a may be replaced by b in any expression.
a)
Transitive Property         
b)
Reflexive Property             
c)
Symmetric Property 
d)
Substitution Property
24.

If  mA=mX, m\angle A=m\angle X,\  then  mX = mAm\angle X\ =\ m\angle A  

a)

Reflexive Property of Equality

b)

Addition Property of Equality

c)

Symmetric Property of Equality

d)

Transitive Property of Equality

25.

mPQR = mPQRm\angle PQR\ =\ m\angle PQR  

a)

Symmetric Property of Equality

b)

Substitution Property of Equality

c)

Transitive Property of Equality

d)

Reflexive Property of Equality

26.

A business has offices in New York (GMT -5), London (GMT) and Paris (GMT +1). New York is open 8am to 6pm, London is open 09.00 to 17.00 and Paris is open 10am to 19.00. For how many hours are all three offices open at the same time?

a)

5 hrs

b)

4 hrs

c)

7 hrs

d)

9 hrs

27.

Flight QF001 departs London (GMT) and 06.45 and flies 3 hrs 10 min to Moscow (GMT +3). What is the flight's estimated arrival time into Moscow?

a)

12.45

b)

9.55

c)

12.55

d)

06.55

28.

Flight QF002 departs London (GMT) at 07.00 on Mon and flies 11 hrs 30 min to Shanghai (GMT +8). What is the flight's estimated arrival time into Shanghai?

a)

18.30 pm Mon

b)

02.30 Tues

c)

10.30 am Mon

d)

2.30 am Mon

29.

Flight QF003 departs Perth (GMT +8) at 13.35 and takes 7 hrs 30 mins to fly to Mumbai, India (GMT +5.5). What is the estimated time of arrival into Mumbai?

a)

18.05

b)

6.35 am

c)

21.05

d)

18.35

30.

A flight departs Christchurch, NZ (GMT +12) at 21.25 on Mon, and arrives into Perth (GMT +8) at 01.25 on Tues. What is the duration of this flight?

a)

12 hrs

b)

8 hrs

c)

7 hrs

d)

4 hrs

31.

Flight HTR005 departs Adelaide (GMT +9.5) at 08.50 on Mon and flies directly into Los Angeles (GMT -8) at 10.20 on Mon. What was the duration of the flight

a)

5 hrs

b)

28 hrs

c)

19 hrs

d)

1 hr 30 min

32.

What is the International Date Line?

a)

A straight red line that divides the globe horizontally

b)

It is an imaginary line that shows the degree on which the earth is tilted

c)

It is opposite to the GMT and is the point at which the date changes

d)

An imaginary planetary line that is about 40,075 km long in circumference. It divides the planet into the Northern Hemisphere and Southern Hemisphere.

33.

The date changes when you cross the ___________

a)

Time Zone

b)

Prime Meridian

c)

International Date Line

d)

Equinox

34.

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

a)

31.4cm

b)

15.7cm

c)

62.8cm

d)

78.5cm

35.

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

a)

21.9cm

b)

22.0cm

c)

44.0cm

d)

11.0cm

36.

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

a)

9.4mm

b)

18.8cm

c)

18.8mm

d)

4.7mm

37.

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

a)

18.8m

b)

37.7m

c)

9.4m

d)

18.8cm

38.

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

a)

1.6m

b)

1.5m

c)

0.8m

d)

3.1m

39.

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

a)

28.3cm

b)

28.2cm

c)

56.5cm

d)

56.6cm

40.

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

a)

78.5cm

b)

39.2cm

c)

39.3cm

d)

490.9cm

41.

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

a)

4.1m

b)

4.0m

c)

2.0m

d)

2.1m

42.

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

a)

25.1cm

b)

12.5cm

c)

12.6cm

d)

6.3cm

43.

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

a)

201.1cm

b)

100.5cm

c)

50.3cm

d)

100.5m

44.

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

a)

50.3cm

b)

25.1cm

c)

50.3m

d)

25.1m

45.

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

a)

34.6mm

b)

31.4mm

c)

34.5mm

d)

17.3mm

46.

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

a)

157.1cm

b)

157.0mm

c)

314.2cm

d)

314.1mm

47.

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

a)

43.9mm

b)

44.0mm

c)

21.9mm

d)

22.0mm

48.

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

a)

223.0cm

b)

446.1cm

c)

223.1cm

d)

106.8cm

49.

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

a)

5.0cm

b)

502.7cm

c)

251.3cm

d)

2.5cm

50.

 Which formula shows the correct way of finding the area of a circle?

a)

A=2πrA=2\pi r  

b)

A= πr2A=\ \pi r^2  

c)

A=πr2A=\pi r2  

d)

A=πdA=\pi d  

51.

Areas are measured in terms of ________.

a)

cubic units

b)

degrees

c)

meter

d)

square units

52.

If the diameter of the circle is 20 cm., what is the radius when squared?

a)

10 cm

b)

100 cm

c)

200 cm

d)

400 cm

53.

How will you find the area of a circle?

a)

Divide the radius by 2 then times 3.14

b)

Multiply the radius by itself times the value of pi

c)

Square 3.14 times the radius

d)

Square the diameter times 3.14

54.

What is the area of a circular pool whose radius is 2 meters?

a)

1.256m21.256m^2

b)

12.56m212.56m^2

c)

125.6m2125.6m^2

d)

1256m21256m^2

55.

A circle is drawn inside a square with a perimeter of 32 cm. If the circle touches each side of the square, what is the area of the circle?

a)

50.24cm250.24cm^2

b)

200.96 cm2200.96\ cm^2

c)

502.4 cm2502.4\ cm^2

d)

2009.6 cm22009.6\ cm^2

56.

The diameter of a circle is 10 cm. How will you find the area of a circle?

a)

Square the diameter times 3.14

b)

Divide the diameter by 2 times 3.14

c)

Multiply the diameter by itself times 3.14

d)

Divide the diameter by 2 then multiply itself and times 3.14

57.

What is the area of a circular table top if its diameter is 20 centimeters?

a)

3.14cm23.14cm^2

b)

31.40cm231.40cm^2

c)

314cm2314cm^2

d)

3140cm23140cm^2

58.

The bottom surface of a circular pond with a radius of of 3.5 m will be tiled. Find the area of the surface that will be tiled.

a)

3.846m23.846m^2

b)

38.465m238.465m^2

c)

384.65m2384.65m^2

d)

3846.5m23846.5m^2

59.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

60.
What is the volume of this prism?
a)
16 cubic cm
b)
12 cubic cm
c)
48 cubic cm
61.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
62.
What is the volume of this rectangular prism?
a)
27 cubic units
b)
18 cubic units
c)
9 cubic units
d)
3 cubic units
63.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
64.
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
65.
Volume is the amount of space an object takes up.
a)
True
b)
False
66.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
67.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
68.
What is the volume of this prism?
a)
6 cubic in
b)
12 cubic in
c)
24 cubic in
69.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
70.
a)
80 in3
b)
24 in3
c)
21 in3
d)
13 in3
71.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
72.
a)
546 m3
b)
456 m3
c)
654 m3
d)
54 m3
73.
10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
74.
Find the Volume
a)
105 m3
b)
112.5 m3
c)
125.5 m3
d)
110 m3
75.
 A rectangular prism has a length of 11.8 meters, a width of 4 meters, and a height of 5 meters. What is the volume of the prism?
a)
2360
b)
2.36
c)
23.6
d)
236