Free Printable Examen

1.

Un coche viaja a 36 kilómetros por hora y consume 36 millas por galón de diésel. Si el coche hace un recorrido de 4 horas. ¿cuánto diésel, en litros, consume?

Supongamos que 1 milla = 1,6 kilómetros y 1 galón = 4 litros.

(a)

2.

If one mile is equal to 5,280 feet, how many feet are 100 miles equal to in scientific notation?

a)

528 x 10³

b)

5280 x 10²

c)

.528 x 10⁶

d)

5.28 x 10⁵

3.

Milk needs to be thinned to a ratio of 3 parts milk to 2 parts waters. The milk – man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?

a)

1 liter milk

b)

1 liter water

c)

2 liters milk

d)

1.5-liter milk

4.

If a cash deposit account is opened with $7500 for a three-year period at 3.5% interest compounded once annually, which of the following is closest to the positive difference between the interest accrued in the third year and the interest accrued in the second year?

a)

$11.41

b)

$0

c)

$281.2

d)

$9.51

5.

Quantity A: $\left|10\right|-\left|16\right|$

Quantity B: $\left|1-5\right|-\left|3-6\right|$

a)

The two quantities are equal.

b)

Quantity A is greater.

c)

Quantity B is greater.

d)

The relationship cannot be determined from the information given.

6.

Si $x+y=9$ y $x^2+y^2=53$ , donde $x<y$ , ¿cuál es el valor de $x-y$ ?

(a)

7.

The function $y=3x^2$ 1. is shifted 2 units towards the positive x – axis (right) and 3 units towards the positive y – axis (up). Find the resulting function.

a)

$y=3x^2+5$

b)

$y=3x^2$

c)

$y=3\left(x+2\right)^2+3$

d)

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

8.

Reduce the following fraction $\frac{a^2b^3c+ab^2c^2}{5a^2b}$

a)

$\frac{bc\left(ab+c\right)}{5a}$

b)

$\frac{ac\left(ab+c\right)}{5b}$

c)

$\frac{ab\left(ab+c\right)}{5c}$

d)

$\frac{5ab\left(ab+c\right)}{c}$

9.

Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has “a” number of chocolates, then in terms of “a”, how many chocolates do Alan and Nadia have?

a)

2a + 4

b)

5a + 5

c)

6a + 6

d)

7a + 6

10.

En la figura siguiente, un cuadrado ABCD está inscrito en un círculo. Si la longitud del arco AB es de unidades, ¿Cuál es el diámetro del círculo?

(a)

11.

What is the equation of the new parabola created by shifting $y=x^2$ , three units in the positive y – axis direction?

a)

$y=\left(x+3\right)^2$

b)

$y=x^2$

c)

$y=x^2+3$

d)

$3y=x^2$

12.

A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.

a)

$\frac{1}{4}$

b)

$2\pi$

c)

$1-\frac{\pi}{4}$

d)

$1-\frac{\pi}{6}$

13.

The width of a rectangle is 2/3 times its length. If the length is calculated to be 9, what is the value of perimeter for this rectangle?

a)

36

b)

9

c)

54

d)

30

14.

A line I is parallel to the y – axis and passes through the point . What is its gradient (m) and x – intercept?

a)

$m=0,x=(3,0)$

b)

$m=∞,\ x=(2,0)$

c)

$m=0,\ x=(2,0)$

d)

$m=∞,\ x=(3,0)$

15.

What is the área of triangle ALC in the figure given below?

a)

2.5

b)

3

c)

3.5

d)

4

16.

¿Qué empresa ofrece el mayor porcentaje en los cargos de llamadas del plan de un minuto al plan de dos minutos?

(a)

17.

En una caja oscura hay un total de 20 pelotas de tres colores diferentes:

· 8 pelotas son azules.

· 7 pelotas son rojas.

· 5 pelotas son verdes.

Si una persona mete la mano en la caja y extrae una sola pelota al azar, ¿Cuál es la probabilidad de que la pelota NO sea verde?

a)

3/4

b)

7/20

c)

4/25

d)

9/50

18.

En una bolsa hay 10 canicas: 6 son rojas y 4 son azules. Se extrae una canica al azar.

(ver figura adjunta)

a)

Quantity A is greater.

b)

Quantity B is greater.

c)

The two quantities are equal.

d)

The relationship cannot be determined from the information given.

19.

The chart above shows the monthly profits of 3 companies. What is the total profit generated by Store X and Sore Z in the month of March?

a)

20,000

b)

80,000

c)

140,000

d)

180,000

20.

The chart provided shows the monthly profits of 3 stores. What was the percent increase in Store Y’s profits over the course of the 4 months?

a)

25%

b)

50%

c)

75%

d)

100%

Examen_1 Tipo GRE

Total questions: 20

Worksheet time: 30mins

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