Add the following rational numbers:
 

15

37

  +  

18

37

 

A.	31 37
B.	33 34
C.	33 37
D.	33 38

Laura competes in a triathlon in which she has to first swim, then bike, and then run for the same distance. She swims at a rate of 4 kilometres per hour, bikes at a rate of 20 kilometres per hour, and runs at a rate of 10 kilometres per hour. What is her average speed over the entire race?

A.	15 2
B.	16 1
C.	34 3
D.	16 2

If a polygon has its sum of interior angles smaller than ^@ 2020^{\circ}, ^@ what is the maximum number of sides of the polygon^@?^@

A.	^@ 17 ^@
B.	^@ 12 ^@
C.	^@ 11 ^@
D.	^@ 13 ^@

Which of the following numbers is a perfect square?

A.	252
B.	441
C.	588
D.	3675

What is the value of ( 

7

9

 )³?

A.	343 9
B.	343 729
C.	7 729
D.	729 343

Find compound interest on ^@ $1953125 ^@ for ^@ 3 ^@ years at ^@ 6 \dfrac { 2 } { 5 } \% ^@ per annum compounded annually.

A.	^@ $ 399605^@
B.	^@ $ 399500^@
C.	^@ $ 399522^@
D.	^@ $ 399512 ^@

Find the product of: ^@ -21 x^{ }y^{ 2 } \times ( 11 x^{ 2 }y^{ 3 } -3 x^{ 3 }y^{ 3 } -10 x^{ } y^{ 4 } )^@

A.	^@ -231 x^{ 5 } y^{ 5 } +63 x^{ 4 }y^{ 5 } +-10 x^{ 2 }y^{ 6 } ^@
B.	^@ -21 x^{ 3 } y^{ 5 } +63 x^{ 4 }y^{ 5 } +210 x^{ 2 }y^{ 6 } ^@
C.	^@ -231 x^{ 3 } y^{ 5 } +63 x^{ 5 }y^{ 5 } +210 x^{ 2 } ^@
D.	^@ -231 x^{ 3 } y^{ 5 } +63 x^{ 4 }y^{ 5 } +210 x^{ 2 }y^{ 6 } ^@

There are two squares, and the ratio of their perimeters is 6:13. If the area of the first square is 900 m², then what is the area of the second one?

A.	4225 m2
B.	4356 m2
C.	4224 m2
D.	4096 m2

How many ^@dam^2^@ equals to ^@1 \space km^2^@?

A.	^@ 10^{ 2 } \space dam^2 ^@
B.	^@ 10^{ 4 } \space dam^2 ^@
C.	^@ 10^{ 5 } \space dam^2 ^@
D.	^@ 10^{ 3 } \space dam^2 ^@

Simplify (x^-2 + y^-2)^-1.

A.	x2 + y2 x2y2
B.	x2y2 x2 + y2
C.	xy x2 + y2
D.	x2 + y2

If ^@ x:y = 1:5 ^@ and ^@ 5:x = 1:6, ^@ then what is the value of ^@y?^@

A.	^@ 149 ^@
B.	^@ 150 ^@
C.	^@ 156 ^@
D.	^@ 152 ^@

Factorize (2z + 7)² - 56z.

A.	(2z + 7) (2z - 7)
B.	(z - 1) (4z - 49)
C.	(2z - 7) (2z - 7)
D.	(z + 1) (4z - 49)

The graph below shows the temperature (in degrees Celsius) over 10 weeks in Vancouver. Calculate the maximum range of variation (the difference between highest and lowest temperature).

A.	68
B.	65
C.	9
D.	8

In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@12^@. Find the number.

A.	^@642^@
B.	^@462^@
C.	^@426^@
D.	^@246^@

If a cube has surface area ^@S^@ and volume ^@V^@, then find the volume of the cube of surface area ^@5S^@.

A.	^@5 \sqrt{ 5 }V^@
B.	^@25V^@
C.	^@\sqrt{ 5 }V^@
D.	^@5 V^@

A trader marks her goods at ^@30 \% ^@ above the cost price and allows a discount of ^@10 \% ^@. Find her gain ^@ \%. ^@

A.	^@ 18.4 \% ^@
B.	^@ 23 \% ^@
C.	^@ 20.36 \% ^@
D.	^@ 17 \% ^@

Kenneth deposited $1200 in bank on 3rd February 2005 and withdrew on 3rd June 2005. Find the interest earned by him at simple interest of 12% pa.

A.	$52
B.	$43
C.	$48
D.	$38

Find compound interest on $20000 for one year and 6 months at 2% per annum compounded half yearly.

A.	$606.02
B.	$545.418
C.	$666.622
D.	$645.02

Find the product of the following polynomials:
(0.2b² - 0.4b + 3) and (3b² + 3b - 0.4)

A.	- 0.6b4 - 0.6b3 + 7.72b2 + 9.16b - 1.2
B.	0.6b4 - 0.6b3 + 7.72b2 + 9.16b - 1.2
C.	0.6b4 + 0.6b3 + 7.72b2 + 9.16b - 1.2
D.	0.6b4 - 0.6b3 + 7.72b2 + 9.16b + 1.2

Simplify: (x² + 6xy + 9y² - 4z²) ÷ (x + 3y + 2z)

A.	(x + 3y + 2z )
B.	(x - 3y + 2z )
C.	(x + 3y - 2z )
D.	(x - 3y - 2z )

^@ 400 ^@ families with ^@2^@ children each, were selected randomly and the following data were recorded.

^@\text{Number of boys in a family}^@	^@2^@	^@1^@	^@0^@
^@\text{ Number of families }^@	^@240^@	^@100^@	^@60^@

Out of these families, one family is selected at random. What is the probability that the selected family has ^@1^@ boy?

A.	^@ 1 ^@
B.	^@ 0.6 ^@
C.	^@ 0.15 ^@
D.	^@ 0.25 ^@

If we use (x+) to indicate the following sum:
1 + 2 + 3 + ... + x
then find the value of k in the following equation:
(36+) - (35+) = (k+).

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