Free Printable Questions: SF, AP, Appreciation and Depreciation, Percentage

1.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

2.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

3.

A polygon with 8 sides is called a(n) __________________.

a)

octagon

b)

decagon

c)

heptagon

d)

dodecagon

4.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

5.

Solve for x.

a)

100

b)

120

c)

125

d)

130

6.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

7.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

8.

Find the measure of the angle x.

a)

105

b)

115

c)

65

d)

75

9.

Which of these shapes is NOT a polygon?

a)

b)

c)

d)

10.

Which of these shapes is a polygon?

a)

b)

c)

d)

11.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

12.

Find the surface area of a cube with sides 4 mm

a)

72 mm²

b)

96 mm²

c)

108 mm²

d)

64 mm²

13.

Find the surface area of a cuboid 4 cm in height, 2 cm length and 5 cm in width.

a)

40 cm²

b)

46 cm²

c)

58 cm²

d)

76 cm²

14.

If a rectangular cuboid is 15cm long, 10cm wide and 9cm high with volume of 500cm³ then surface area of cuboid is ....

a)

750 cm²

b)

800 cm²

c)

850 cm²

d)

700 cm²

15.

If a rectangular cuboid is 9 cm long and 8 cm wide with volume of 450 cm³ then height of cuboid in 'cm' is ....

a)

12.25

b)

6.25

c)

8.25

d)

9.25

16.

If base area of a room 12 m² and height is 3 m then its volume is ....

a)

24 m³

b)

36 m³

c)

12 m³

d)

18 m³

17.

If the edge of a cube is 1 cm then which of the following is its total surface area?

a)

1 cm²

b)

4 cm²

c)

6 cm²

d)

36 cm²

18.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

19.

What is Surface Area?

a)

the area of a shape

b)

the amount of space covering the outside of a three-dimensional shape

c)

the amount of face of a shape

d)

the amount of surface of a shape

20.

There are ...... faces found in a cube and cuboid.

a)

10

b)

12

c)

8

d)

6

21.

Calculate the surface area of the box.

a)

1000 cm²

b)

1500 cm²

c)

2500 cm²

d)

2000 cm²

22.

what is this shape ?

a)

Cube

b)

Cuboid

c)

Cylinder

23.

what is this shape ?

a)

Cube

b)

Cuboid

c)

Cylinder

24.

If the area of 1 FACE is 64, how much is the surface area of the WHOLE CUBE?

a)

8

b)

32

c)

72

d)

384

25.

A cube has a volume 64cm³. What is the area, in cm², of one surface of the cube?

a)

4

b)

8

c)

16

d)

32

26.

What is the difference in volume, in cm³, between M and N?

a)

47

b)

53

c)

144

d)

197

27.

Diagram shows a water container. Omar fill 3/5 of its with water. What is the volume of water in that container?

a)

900 cm³

b)

1 200 cm³

c)

1 800 cm³

d)

3 000 cm³

28.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

29.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

30.

Find the common difference: 1, 201, 401, 601, ...

a)

d = 100

b)

d = 101

c)

d = 200

d)

d = 201

31.

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

32.

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

a)

-6

b)

-14

c)

-22

d)

-30

33.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

34.

Is the sequence arithmetic?

17, 9, 1, -7, ...

a)

Yes

b)

No

35.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

36.

Sometimes sequences are described in subscript notation.

Given $a_1=-5$ and $a_n=a_{n-1}+3$ , what are the first 4 terms in the sequence?

a)

-5, -2, 1, 4

b)

-5, -8, -11, -14

c)

3, -2, -7, -12

d)

3, -15, 75, -375

37.

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

38.

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

a)

a_n= 10n + 17

b)

a_n = 7n - 17

c)

a_n = -7n + 17

d)

a_n = 7n + 3

39.

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

a)

a_n = 12n - 14

b)

a_n= 2n - 14

c)

a_n= -2n + 14

d)

a_n= -12n + 14

40.

Write the recursive rule for the arithmetic sequence

82, 76, 70, 64, ...

a)

a₁= 82; a_n = a_n-1- 6

b)

a₁= 64; a_n = a_n-1- 6

c)

a₁= 82; a_n = a_n-1+ 6

d)

a₁= 64; a_n = a_n-1+ 6

41.

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

a)

81

b)

-34

c)

-146

d)

-225

42.

Name the Sequence:

300, 150, 75, 37.5.....

a)

A. Arithmetic

b)

B. Geometric

c)

C. Recursive

d)

D. Explicit

43.

The Recursive Formula for the Arithmetic Sequence is:

a)

$A.\ \ \ a_n\ =\ a_1\ +\ d\ \left(n-1\right)$

b)

$B.\ \ a_{n\ }=\ a_{\left(n-1\right)}\ +\ d$

c)

$a_{n\ }=\ a_{1\ }\cdot\ r\ ^{\left(n-1\right)}$

d)

$a_n\ =\ a_{\left(n-1\right)}\ \cdot\ r$

44.

The Explicit Formula for the Arithmetic Sequence is:

a)

$A.\ \ \ a_n\ =\ a_1\ +\ d\ \left(n-1\right)$

b)

$B.\ \ a_{n\ }=\ a_{\left(n-1\right)}\ +\ d$

c)

$a_{n\ }=\ a_{1\ }\cdot\ r\ ^{\left(n-1\right)}$

d)

$a_n\ =\ a_{\left(n-1\right)}\ \cdot\ r$

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

12% of $90

a)

$12

b)

$78

c)

$10.80

d)

$102

57.

Increase $90 by 12%

a)

$10.80

b)

$102

c)

$100.80

d)

$90.12

58.

Kate scored 54 out of 60 in her maths exam. What is this as a percent?

a)

0.9

b)

54%

c)

90%

d)

60%

59.

A book is advertised as 20% off. If it cost $70 at the register, how much was it originally?

a)

$90

b)

$84

c)

$87.50

d)

$50

60.

My dog's weight is now 125% of what she weighted one year ago. If her weight then was 30kg, what is her weight now?

a)

31.25

b)

30.125

c)

37.5

d)

37.125

61.

Decrease 500 by 30%

a)

470

b)

350

c)

499.70

d)

150

62.

The average number of shirts sold in the shop was 285 every day in summer. As the temperature was lower and lower, the average number of shirts decreased to 114 every day. What was the percentage decrease of in the average number of shirts sold in the shop?

a)

60%

b)

40%

c)

150%

d)

171%

63.

The usual price of a TV set was $500. During the Christmas holiday, the price of a TV set marked down to $413. What was the percentage decrease in the price of a TV set?

a)

82.6%

b)

87%

c)

17.4%

d)

25%

64.

Darren makes $10 per hour. Next semester, he will be making $14 per hour. What rate of increase does this represent?

a)

28.5%

b)

40%

c)

71%

d)

60%

65.

The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.

a)

52%

b)

41%

c)

42%

d)

45%

66.

Find the percent increase. Round to the nearest percent.
From $5 to $8

a)

40%

b)

60%

c)

55%

d)

65%

67.

The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.

a)

52%

b)

41%

c)

42%

d)

45%

68.

A grocery store has a 20% markup on bottle of soda. The bottle of soda costs the store $1.25. Find the selling price. Round to nearest cent if necessary.

a)

$1.5

b)

$1.50

c)

$.25

d)

$1.45

69.

Find the percentage profit: CP = $50, SP = $60

a)

110%

b)

10%

c)

20%

d)

16.7%

70.

Calculate the percentage profit if an item is bought for $42 and sold for $52.50

a)

20%

b)

25%

c)

80%

d)

22%

71.

If an object is bought for $90 and then sold for a loss of 15%. How much was it sold for?

a)

$103.50

b)

$80

c)

75

d)

$76.50

72.

What percent of 25 is 60?

a)

24%

b)

2.4

c)

240%

d)

100%

73.

After a 25% discount, a shirt sells for $39. Find the cost price.

a)

$48.75

b)

$50

c)

$52

d)

$50.70

74.

The pie chart shows how pupils of River of Praise School travel to school. What percentage of the pupils travel to school by tricycle?

a)

55%

b)

65%

c)

45%

d)

25%

75.

How many times was the number 3 rolled?

a)

6

b)

2

c)

3

d)

4

76.

What is the maximum number of computers that someone said they had?

a)

8

b)

10

c)

4

d)

1

77.

The pie chart shows the colours of some counters in a bag. What fraction of the counters are white? Simplify fully!

a)

⁹⁰/₃₆₀

b)

¹/₄

c)

¹/₃

d)

¹/₂

78.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

79.

What was the most common mode of transport?

a)

Walk

b)

Cycle

c)

Bus

d)

Car

80.

How many employees travelled by car to work?

a)

22

b)

8

c)

10

d)

12

81.

270 ice creams were sold in total. How many were Vanilla?

a)

60

b)

54

c)

80

d)

45

82.

How many people visited the park in 1997?

a)

20

b)

40

c)

60

d)

50

e)

35

83.

After the refrigerator, which appliance is used the most on weekdays?

a)

Television

b)

Heater

c)

Lights

d)

Computer

84.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

85.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

86.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

87.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

88.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

89.

6xy - 8x + 15y - 20

a)

(3y + 4)(2x - 5)

b)

(3y - 4)(2x + 5)

c)

(2y - 4)(3x + 5)

d)

(2y + 5)(2y - 4)

90.

6t² - 4t - 3t + 2

a)

(6t - 1)(t - 2)

b)

(2t - 2)(3t - 1)

c)

(3t - 2)(2t - 1)

d)

(3t - 2)( 2t + 1)

91.

$\ factorize.\ -3x^2\ -9x$

a)

$-3x\left(x+3\right)$

b)

$3x\left(x+3\right)$

c)

$3x\left(-x-3\right)$

d)

$-3\left(x^2\ +3x\right)$

92.

$factorize.\ 2\pi r^2+2\pi rh$

a)

$2\pi r^2\left(1+h\right)$

b)

$\ 2\left(\pi r^2+\pi rh\right)$

c)

$2r\left(\pi r+\pi h\right)$

d)

$2\pi r\left(r+h\right)$

93.

$\ FACTORIZE\ \ \ \ ax-5a+4x-20$

a)

$\left(x+5\right)\left(a-4\right)$

b)

$\left(x-5\right)\left(a+4\right)$

c)

$5x-25a$

d)

$6a-20ax$

94.

$FACTORIZE\ \ 5x^2+5xy-15x-15y$

a)

$\left(5x-15\right)\left(x+y\right)$

b)

$\left(5x+15\right)\left(x_{\ }-y\right)$

c)

$5\left(x+3\right)\left(x-y\right)$

d)

$5\left(x-3\right)\left(x+y\right)$

95.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

96.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

97.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

98.

4b² - 12b + 2b - 6

a)

(b - 3)(4b + 2)

b)

2(2b + 1)(b - 3)

c)

(4b + 3)(b - 2)

d)

(4b - 3)(b + 2)

99.

Factorise

k²-2k+1

a)

(k⁴+2)²

b)

(k²+1)²

c)

(k-1)²

100.

FACTORISE

x²-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

101.

$FACTORIZE\ \ \ a^2b^3-a^5b^2+2a^4b^6$

a)

$a^2b^2\left(1-b^3+2a^2b^4\right)$

b)

$a^2b^2\left(b-a^3+2a^2b^4\right)$

c)

$a^2b^2\left(b+a^3-2a^2b^4\right)$

d)

$a^2b^2\left(1+b^3-2a^2b^4\right)$

102.

$FACTORIZE\ \ \ \ 2h\left(5a+2\right)-\left(5a+2\right)$

a)

$\left(5a+2\right)\left(2h\right)$

b)

$\left(5a+2\right)\left(2h+1\right)$

c)

$\left(5a+2\right)\left(2h-1\right)$

d)

$\left(5a-2\right)\left(2h-1\right)$

103.

$FACTORIZE\ \ \ \ \ x^3-x^2-1+x$

a)

$\left(x-1\right)\left(x^2+1\right)$

b)

$\left(x^3-1\right)\left(-x^2+x\right)$

c)

$\left(x^2+1\right)\left(1-x\right)$

d)

$\left(x^2-1\right)\left(x+1\right)$

104.

How much interest is added over ten years to an account paying 9% interest annually on an initial sum of $45800 if the interest is compounded quarterly?

a)

$111531.65

b)

$65731.65

c)

$41220

d)

$112272.15

105.

The number of people in an Australian town increases by 1.1% annually. Its current population is 68000. What was the population 6 years ago? (Hint: simple interest!) Your answer should be in whole numbers.

(a)

106.

Calculate how much would need to be invested at 8% annually compounded each half-year to accumulate $9600 in six years.

a)

$5996.13

b)

$6049.63

c)

$5949.79

d)

$6486.49

107.

Calculate the annual interest rate that would allow $7900 to accumulate to $9000 in 5 years if the interest is compounded quarterly. Round to the nearest hundredth.

(a)

108.

After how many years will a $2400 sapphire ring be worth $8000 if it increases in value by 10.5% annually, compounded annually. Round to the nearest year.

(a)

109.

$4245 compounded annually over 8 years with an annual interest rate of 6.5% will earn how much in interest?

a)

$2780.46

b)

$7025.46

c)

$2207.40

d)

$6452.40

110.

£50 is put into saving account for 4 years with an interest rate of 2%. Which calculation is correct?

a)

$50\times1.02^4$

b)

$50\ \times1.04^2$

c)

$50\times1.4^2$

d)

$50\times0.98^4$

111.

A car bought for £7500 depreciates by 7% each year. How much is the car worth after 2 years?

a)

£8586.75

b)

£4512.76

c)

£6486.75

112.

A company's printers are currently worth £2400 and the lose 14% of their value every year. How much less will the be worth in 5 years time?

a)

£720.00

b)

£1270.98

c)

£2064.00

d)

£1129.02

113.

There are 36 bunnies in the woods. The number of bunnies in the woods increases by 26% one year, then decreases by 14% the following year. How many bunnies are there now?

a)

40

b)

47

c)

30

d)

39

114.

Increasing a number by 5% then 4% then 3% is the same as just increasing the original number by... (give your answer to the nearest whole percent)

(a)

115.

A car was bought for $36,000 and the insurance company decided to calculate its depreciation each year as 12.5% from the period of July 12, 2017 to July 12, 2020. What time (in years) during which the price of the car was depreciated at 12.5%?

a)

2

b)

3

c)

4

d)

2020

116.

Which of the formulas below can be used for appreciation?

a)

$A=P\left(1-\frac{R}{100}\right)^n$

b)

$A=P\left(1+\frac{R}{100}\right)^n$

c)

$A=R\left(1+\frac{P}{100}\right)^n$

d)

$A=R\left(1-\frac{P}{100}\right)^n$

117.

If a vehicle costing $10,000 depreciates by 10% each year for 3 years, what is the cost of the vehicle after 3 years?

a)

$7,000

b)

$7,290

c)

$13,000

d)

$13,310

118.

What should the formula below be used to calculate? Select all that apply

A=P\left(1+\frac{R}{100}\right)^n

a)

Simple Interest

b)

Compound Interest

c)

Depreciation

d)

Appreciation

119.

A house depreciated in value from $305,000 to $274,500. What is the depreciation as a percentage of the original price?

(a)

120.

A farm that costs $987,000 depreciates by 12% each year. What is its value after 10 years?

a)

$82,274.11

b)

$98,700

c)

$274,880.46

d)

$306,574

Questions: SF, AP, Appreciation and Depreciation, Percentage

Total questions: 120

Worksheet time: 7hrs 27mins

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