EDGE Math 8

1.	In a two-digit number, 5 times the units digit added to the tens digit equals 43. Five times the tens digit added to the units digit equals 47. What is the number?

87

78

86

none of the choices

Answer: 87

2.	The sum of the digits of a two-digit number is 13. If the digits are reversed, the new number formed is 27 more than the original number. What is the original number?

67

58

49

none of the choices

Answer: 58

3.	Three years ago, the sum of the ages of Marlon and Carol was 26. The difference between their ages 2 years from now will be 4. What are Marlon's and Carol's present ages? Assume that Marlon is older than Carol.

Marlon is 18 and Carol is 14 years old.

Marlon is 20 and Carol is 16 years old.

Marlon is 22 and Carol is 18 years old.

none of the choices

Answer: Marlon is 18 and Carol is 14 years old.

4.	The height of a rectangle is half as long as its base. If its height is increased by 5 units and its base is decreased by 2 units, its perimeter will be equal to 60 units. Determine the height and the base of the rectangle.

The height is 10 units and the base is 20 units.

The height is 9 units and the base is 18 units.

The height is 8 units and the base is 16 units.

none of the choices

Answer: The height is 9 units and the base is 18 units.

5.	The difference between the areas of two given rectangles is 8 square meters $(m^{2}) .$ The area of the smaller rectangle decreased by $4 m^{2}$ is the same as $\frac{3}{4}$ of the area of the larger one. What are the areas of the given rectangles?

56 m^{2}

and

48 m^{2}

52 m^{2}

and

44 m^{2}

48 m^{2}

and

40 m^{2}

none of the choices

Answer: $48 m^{2}$ and $40 m^{2}$

6.	Mang Ramon raises 52 cows and ducks. The total number of legs of the animals is 130. How many cows and ducks does Mang Ramon have?

39 cows and 13 ducks

14 cows and 38 ducks

38 cows and 14 ducks

none of the choices

Answer: none of the choices; 13 cows and 39 ducks