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Assessment Test - Grade 10

 

  1. Simplify expression using the order of operations

A)    -27

B)     27.5

C)    28

D)    29

 

  1. If John earns $x in a week and spends $y, what part of his weekly salary did he save?

A)    x – y / x

B)     x + y / x

C)    y – x / y

D)    y + x /y

 

  1. Judy wants to spend 15 % of her $ 2, 400 monthly take – home pay on an apartment. How much should she budget for an apartment?

A)    X = $ 360

B)     X = $ 720

C)    X = $ 120

D)    X = $ 500

 

  1. If 58 out of 100 students in a school are boys, then write a decimal for the part of the school that consists of boys.

A)    0.58

B)     58

C)    0.0058

D)    0.058

 

  1. Determine the length of hypotenuse of a  right triangle if two adjacent sides are 12 cm and 9 cm each?

A)    15 cm

B)     13 cm

C)    14 cm

D)    16 cm

 

  1. The radius of a circle is 3 centimeters. What is the circle‘s circumference?

A)    2 pi cm.

B)     6 pi cm

C)    8 pi cm

D)    10 pi cm

 

  1. A water tank is in the shape of a right circular cylinder thirty feet long and eight feet diameter. How much sheet metal was used in the construction?

A)    272(pi) sq feet

B)     270(pi) sq feet

C)    160 (pi) sq feet

D)    200(pi) sq feet

 

  1. Suppose the interior angles of a convex pentagon are five consecutive numbers. Find the measure of the largest angle.

A)    1050

B)     1060

C)    1090

D)    1100

 

  1. Find the transformed equation of 2x2 + 5y2 + 4xy = 0 when the origin is shifted to the point (3, 4).

A)    X2 + 4XY + 5Y2 + 2X + 52Y + 140 = 0

B)     2X2 + 4XY + 5Y2 + 28X + 52 Y + 146 = 0

C)    3X2 + XY + 4Y2 – 28X + 52Y + 120 = 0

D)    X2  -  4XY + 5Y2 + 26X + 52 Y + 146 = 0

 

  1. Find the distance between the points (4, 5) and (1, 1).

A)    5

B)     6

C)    7

D)    8

 

  1. If triangle ABC is similar to PQR, AB = 5 cm, BC = 10 cm and AC = 15 cm. PQ =15cm QR = 30 cm Find PR.

A)    30 cm

B)     60 cm

C)    45 cm

D)    50 cm

 

  1. If f(x) = x + 2 and g(x) = x – 3. Find f [g(x)].

A)    x + 1

B)     x + 2

C)    x -1

D)    x – 2

 

  1. 7979797 is divisible by _____________.

A)    37

B)     73

C)    17

D)      51

 

  1. Solve the inequality |x + 3 |  < 5

A)    -8 < x < 2

B)     – 6 < x < -4

C)    -10 < x <  12

D)    -6 <  x < 3

 

  1. Solve x6 – 9x3 + 8 = 0

A)    x = 2 or 1

B)     x = 3 or 6

C)    x = -2 or 1

D)    x = 1 or -2

 

  1. A coin is tossed 6 times. The probability of getting  heads 3 times is

A)    5 /14

B)     4/15

C)    5/16

D)    4/15

 

  1. Find the value of 100 C 99.

A)    100

B)     99

C)    9900

D)    1

 

  1. The mean of 20 observations is 12.5. By an error one observation is registered as -15 instead of 15. Find the exact mean?

A)    14

B)     15

C)    16

D)    17

 

  1. The annual income of  Jude is $ 36000 in 2008 – 2009. There is 40% hike in his annual income for the next two consecutive years. What will be the annual income of Jude in 2010 – 2011?

A)    $ 70000

B)  $ 75000

C)  $ 80000

E)     $ 70560

 

  1. Will Smith spends $500 for rent, $250 for transportation, $ 750 on food, $ 500 for miscellaneous from his monthly earnings. Find the circular angle related to his transportation.

A)    450

B)     500

C)    550

D)    600