Name:_____________                        Level 8 Test       © mathkinz

Date:______________

Score:______________

 

Remember following before you start test.
Read each question carefully and think before answering.

.


Q.1  A cuboid is also known as

A) Rectangular prismB) CubeC) Square pyramidD) Tetrahedron

Q.2   Express -3/5 as a fraction with 45 as a denominator

A) 27/45B) -27/45C) 24/45D) -3/5

Q.3   Solve

1  1  1
__ + __ − __  =
5  3  15
A) 8/15 B) 14/15 C) 7/15D) 4/15

Q.4   Find the additive inverse of −33 / 100

A) 33 / 100B) −33 / 100C) 0 D) 1

Q.5   Subtract 1/3 from 1/4

A) 1 / 12B)−1 / 12C) 0.25D) 0.1

Q.6   What should be added to 1 to make 5 / 7

A) 3 / 7B) NoneC) -2 / 7D) -5 / 7

Q.7   Sum of the two fractions is 1. If one of them is 1/6 find the other
A) 1/7 B) 5/6C) −1/6D) 0

Q.8   Solve following

7  4  3
__ x __ x __  =
4  3  7
A) 3 / 98 B) 24 / 98C) 1D) 1/2

Q.9   Find the difference in the area of the two circles

A) 50 π B) 22 πC) 67 πD) 75 π

Q.10   Find the reciprocal of 3/17

A) -3/17B) 0C) 1D) 17/3

Q.11   A realtor charges 6% as commission for selling a house. After the commission the seller got $188,000. Find at what price the house was sold for

A) $222,000B) $176,000C) $200,000$326,000

Q.12   Find the reciprocal of 3

A) -3B) -1/3C) 1/3D) 0

Q.13   A rope's length is 6 m. It was cut into three pieces. If the two pieces are 3 1/3 and 1 1/2, find the length of the remaining piece

A) 1 1/6B) 1 5/6C) 2 1/6D) 0

Q.14   Difference between 1/2 of a number and 1/3 of a number is 10. Find the number

A) 50B) 60C) 30D) 40

Q.15   The radius of two circles are in the ratio of 1 : 2. Find the ratio of their areas
** Hint area of circle = π r2

A) 1 : 2B) 1 : 3C) 1 : 8D) 1 : 4

Q.16   After reading 4/5 of a novel 30 pages are left. How many pages are there in the novel

A) 120B) 480C) 150D) 900

Q.17   Solve

(−2)4 + (−2)3

A) −8B) −4C) 16D) 8

Q.18   Solve

(−2 / 3)5

A) 32 / 243B) -16 / 243C) -32 / 243D) 2 / 3

Q.19   Solve

(2 / 5)-3

A) 8 / 125B) -8 / 125C) 16 / 125D) 125 / 8

Q.20   What is the value of following fraction?

0
___
12
A) 0 B) 6C) InfinityD) 1

Q.21   Is following statement true or false?

Square of a proper fraction is always smaller than the fraction itself
A) YesB) NoC) D)

Q.22   Is 125 a perfect square

A) Don't know B) Yes C) No D)

Q.23   Is following statement true or false

The square of a odd number is always a odd number
A) Don't know B) FalseC) TrueD)

Q.24   Find square root of 324

A) 17 B) 21C) 22D) 18

Q.25   Surface area of a cube is 150 sq cm. Find the length of the one side

A) 12.25 B) 12C) 5D) 11.5

Q.26   Find the square root of following

1.96
A) 1.2B) 14C) .14D) 1.4

Q.27   Do following operation

−5 X (−7 −( − 5 ))

A) -10B) 45C) 10D) 60

Q.28   Is following statement true

ab    =    a    +    b
A) Don't know B) YesC) NoD)

Q.29   What minimum number should be added to 111 to make it a perfect square?

A) 41B) 31C) 11D) 10

Q.30   If b = 7, find a

a ÷ 3b = 23 + 5b
A) 1218B) 35C) 1008D) 21

Q.31   Find cube root of 729

A) 9B) 33C) 43D) 27

Q.32   Find cube of 0.1

A) 1.000B) 0.100C) 0.001D) 0.01

Q.33   Evaluate following for a = 3

5 a2  +  3 a + 3 =
A) 55B) 57C) 12D) 59

Q.34   Solve

144a2b3 ÷ 12ab2
A) 12aB) 12ab C) 12bD) 36

Q.35  Multiply following
(a + b) x (c + d) =


A) ab + bc + cd + acB) ab + 2bc + cd C) ac + ad + bc + bdD) ac + ad + 2bc

Q.36   Solve

(6a2 + 12ab2 + 2abc2) ÷ 2a =
A) 12ab2 + 2abc2B) 12ab C) 3a + 6b2 + bc2D) 36

Q.37   Solve

(12ab2c3) ÷ (−2abc3) =
A) 12ab2 + 2abc2B) 12ab C) 3a + 6b2 + bc2D) −6b

Q.38   Find which are prime numbers?

0, 1
A) 1B) BothC) 0D) None

Q.39   Which of these is a multiple of 13?

A) 163B) 49C) 78D) 51

Q.40   What is greatest common factor of 24 and 52?

A) 8B) 6C) 4D) 2

Q.41   If bc = 5 and b + c = 8 find b2 + c2

A) 23B) 64C) 74D) 54

Q.42   Roman numeral IL can also be written as

A) 49B) 14C) 15D) 51

Q.43   Factorize following
3a2 − 6ba3
A 3a(1 − 2ba)B) 3a2(1 − 2ba)C) NoneD) 2, 3

Q.44   Cost price of a old car = $3000.00
Money spent on repairs = $400.00
Sell price of car = $5100.00
Find his profit as percent
A 40%B) 50%C) 45%D) 23%

Q.45   If the cost price of 36 pens is $25 and pens were sold at the price of $10 per dozen, find the profit as percent
A −$15B) $9C) 20%D) 25%

Q.46   Subtract −18 from −15
A) 33B) −3C) 3D) −33

Q.47   The sum of two integers is 33. If one of the number is −7, Find the other number?
A 26B) −3C) 40D) −33

Q.48   Is this number sentence true or false?
−8 − (−2) > −3
A) FalseB) TrueC) NoneD)  

Q.49   Decimals having same number of decimal places are called like decimals. Convert following decimals to like decimals
8, 8.213, 5.13
A) 8.00, 8.21, 5.13B) 8.2, 8.213, 5.130C) 8.000, 8.213, 5.130D) 8.00, 8.21, 5.130

Q.50   Find how much water can be filled in a room which is 7 meters wide, 5 meters long and 5 meters in height?

A) 125 cubic meterB) 275 cubic meterC) 225 cubic meterD) 175 cubic meter

Q.51   Solve

43   −   34

A) 145B) 17C) −17D) 27

Q.52   Sell price of 12 oranges is same as the cost price of 9 oranges. Find the profit as %

A) 50%B) 20%C) 33.33%D) 25%

Q.53   By selling at $15 Kevin makes a loss of 25%. At what price should he sell to make a profit of 15%

A) 11B) 11.1C) 25D) 23

Q.54   Sam has 87 toys. Mona has 15 more toys than Sam. What number sentence should I use to get number of toys Mona has?

A) multiply 87 by 15 B) divide 87 by 15C) Subtract 15 from 87D) Add 15 to 87

Q.55   What is the probability that spinner will lend on a odd number greater then 3

A) 3 / 8 B) 5 / 8C) 1D) 1 / 4

Q.56   There is a 25% and then a 10% discount on a toy. Find a single equivalent discount

A) 37.5% B) 35%C) 32.5%D) 40%

Q.57   Find the simple interest on $2000 deposit in a bank after 2 years, which pays 5% interest yearly

A) $220 B) $20C) $200D) $100

Q.58  Sum of these three numbers is?

           912454
         +613342
         +267128
        ________
        ________

A) 1792924B) 1791924C) 1792914D) 1782924

Q.59   Find the compounded interest on $2000 for 2 years at 10% per annum.

A) $420 B) $730C) $410D) $730

Q.60   Find missing number?

 7       56
___       =     ____
13      ?
A) 60 B) 104C) 91D) 94

Q.61   MAC bank pays compounded interest of 5% per annum. BAC bank pays simple interest of 5.1% per annum. Which is better option for $100 deposit for 2 years

A) BAC bank B) MAC bankC) SameD) None

Q.62   Five workers for 5 days of work charge $125 in total. Find how much 10 workers will charge for 10 days of work

6756.88
A) $250 B) $500C) $375D) $125

Q.63   1 / 9 can also be written in percent as

A) 12% B) 11.11%C) 9%D) 3%

Q.64   32 man can finish a job in 15 days. How many days it will take for 8 man to finish the same job

A) 60 B) 50C) 80D) 75

Q.65   In a camp the food supply for 200 men could last for 20 days. If 300 men more arrived in the camp, how long will the food supply last?

A) 8 B) 10C) 6D) 10

Q.66   Find the number of seconds in a day

A) 3600 B) 86000C) 86400D) 1920

Q.67   Kathy alone can finish a job in 10 days. Mona can finish the same job in 20 days. If they work together how long will they take to finish the job?

A) 20/3 days B) 6 daysC) 8 daysD) 12 days

Q.68   Pipe A alone can fill the tank in 4 hours. Pipe B alone can fill the same tank in 6 hours. Find how many hours it will take if both of them are on

A) 2.4 hours B) 2.5 hoursC) 2 hoursD) 3 hours

Q.69   Solve

−3  X  −5  X  ___   X −7=  −315
A) −3 B) 5C) 3D) 2

Q.70   In a quadrilateral ABCD following is true
/_ A   =   /_ B
/_ C   +   /_ D = 200, Find   /_A

A) 85° B) 160°C) 80°D) 90°

Q.71   Which of the following numbers is not a prime number?

73, 31, 51, 71

A) 71 B) 73C) 51D) 31

Q.72   What is the next number in this pattern?

0.9,  8 / 10,  0.3 + 0.4,  3 x 0.2,  __
A) 5B) 0.2C) 0.4D) 0.5

Q.73   In following parallelogram A = 68°. Find angle B

A) 68°B) 122°C) 102°D) 112°

Q.74   Evaluate exponents

10−1          10−2      =

A) 0.9 B) 0.01C) 0.09D) 9

Q.75   The two diagonals may not be equal in

A) Rhombus B) SquareC) ParallelogramD) Rectangle

Q.76   In a rectangle the parameter is 20 cm. If the ratio of adjacent sides is 2:3, find the measure of smallest side

A) 3 B) 4C) 5D) 6

Q.77   Find the area of a trapezium whose parallel sides measure as 10 and 20 cm and the distance between them is 5 cm.

A) 75 sq cm B) 1000 sq cmC) 100 sq cmD) 50 sq cm

Q.78   The area of a trapezium is 60 sq cm. If parallel sides measure as 5 and 7 cm, find the distance between parallel sides

A) 8 B) 9C) 7D) 10

Q.79   The volume of a solid iron ball is 210 cubic cm. If the iron weighs 7 g / cubic cm, find the weight of the ball

A) 300 gB) 30 gC) 1470 gD) 112 g

Q.80   Find 250% of 80

A) 120B) 100C) 200D) 150

Q.81   Find the area of triangle

A) 31.5B) 31C) 33D) 63

Q.82   The following is called?

A) RayB) LineC) Line SegmentD) Sector

Q.83   Apples are bought at a price of 25¢ per apple. They are being sold at the price of 30¢ per apple. In order to make a profit of 10 dollars how many apples should be sold?

A) 200B) 100C) 20D) 30

Q.84   Set P = {3,4,5,6,7} and Set Q = {1,2,3,4} Find Set P ∩ Q

A) None B) (1,2)C) (3,4)D) (1,2,3,4,5,6,7)

Q.85   Which one shows 9200000 in scientific notation?

A) 9.2B) 9.2 x 10 6C) 9.2 x 10 5D) 9.2 x 10 7

Q.86   What property of multiplication does this describes

23(40 + 5) = 23 x 40 + 23 x 5

A) CommutativeB) DistributiveC) AssociativeD) None

Q.87   Sam deposited $5000 in his bank account. He is getting a simple interest of 10% per annum. How many years will it take to grow to $7500?

A) 2B) 10C) 5D) 6

Q.88   Evaluate

(−8 − 1) X (−5 + 1)

A) 26B) −36C) 36D) 24

Q.89   Solve for x

2x − 13 = 17 − 3x
A) 6B) 9C) 7D) 4.8

Q.90   Perimeter of square B is 20 cm. Perimeter of square C is 50 cm. Find the ratio of their areas?

A) 4:25B) 5:2C) 2:5D) 2:1

Q.91   Which is smaller 2% of 150 or 3% of 100

A) None B) 2% of 150C) 3% of 100D) 2.5% of 150

Q.92   The three angles in a triangle are (72°, 28°, y - 10 °). Find y

A) 70B) 60C) 90D) 22

Q.93   Choose one

70 > a > 65
A) 18B) 73C) 66D) 92

Q.94   In a park there are 720 trees. If shaded area represents Oak trees. Find the number of Oak trees in the park

A) 50B) 100C) 60D) 20

Q.95   What sign make this number sentence true?

32 ounces   2 Pounds
A) NoneB) >C) <D) =

Q.96   I have 3 different color pants, 5 different color shirts and 3 different color ties. How many different combinations can I make

A) 8 B) 40 C) 18 D) 45

Q.97   Compare following

23,123,456,123 3,223,456,123
A) None B) < C) = D) >

Q.98   Mona has 3/4 meter of a string to make bracelets. Each bracelet requires 1/16 of a meter of the string. Find how many bracelets can be made

A) 6 B) 0 C) 12 D) 4

Q.99   Find the volume of a cylinder if the base of the cylinder measures 12 sq cm and height is 8 cm.

A) 12 B) 48 C) 96 D) Cant find

Q.100   Find the radius of a circle if its area is 50.24 sq cm

A) 3 B) 2C) 4D) 5

Q. 1 Q. 35 Q. 68
Q. 2 Q. 36 Q. 69
Q. 3 Q. 37 Q. 70
Q. 4 Q. 38 Q. 71
Q. 5 Q. 39 Q. 72
Q. 6 Q. 40 Q. 73
Q. 7 Q. 41 Q. 74
Q. 8 Q. 42 Q. 75
Q. 9 Q. 43 Q. 76
Q. 10 Q. 44 Q. 77
Q. 11 Q. 45 Q. 78
Q. 12 Q. 46 Q. 79
Q. 13 Q. 47 Q. 80
Q. 14 Q. 48 Q. 81
Q. 15 Q. 49 Q. 82
Q. 16 Q. 50 Q. 83
Q. 17 Q. 51 Q. 84
Q. 18 Q. 52 Q. 85
Q. 19 Q. 53 Q. 86
Q. 20 Q. 54 Q. 87
Q. 21 Q. 55 Q. 88
Q. 22 Q. 56 Q. 89
Q. 23 Q. 57 Q. 90
Q. 24 Q. 58 Q. 91
Q. 25 Q. 59 Q. 92
Q. 26 Q. 60 Q. 93
Q. 27 Q. 61 Q. 94
Q. 28 Q. 62 Q. 95
Q. 29 Q. 63 Q. 96
Q. 30 Q. 64 Q. 97
Q. 31 Q. 65 Q. 98
Q. 32 Q. 66 Q. 99
Q. 33 Q. 67 Q. 100
Q. 34