Grade 6 Math Practice Test 02: Part 1

Bob's entire training routine consists of 15 minutes of walking, 25 minutes of running, and 35 minutes of light jogging. What is the ratio of the number of minutes he spent running to the total number of minutes of his training routine?

3:8

3:7

1:1

1:3

What is the y-coordinate of Point P on the coordinate grid?

-2

-3

Grace read 28 pages in 1.5 hours. At this same rate, how many pages will Grace read in 6 hours?

121

112

Upon reviewing his quarterly sale reports, John found that 20% of the vehicles he sold were sedans. If John sold a total of 180 vehicles, how many sedans did he sell?

180

It is snowing at a rate of 0.25 inches per hour. How many more inches of snow will accumulate in the next 5 hours?

5.25 inches

1.25 inches

5 inches

1 inch

Which proportion is correct?

$\dfrac{3}{9} = \dfrac{3}{5}$

$\dfrac{4}{5} = \dfrac{5}{6}$

$\dfrac{2}{8} = \dfrac{3}{12}$

$\dfrac{1}{2} = \dfrac{9}{20}$

What value is equivalent to $| -\dfrac{2}{3}|$ ?

$-\dfrac{3}{2}$

$\dfrac{2}{3}$

$\dfrac{3}{2}$

$-\dfrac{2}{3}$

CJ deposits $8 into his bank account every week. Which expression represents the amount of money, in dollars, CJ will have in his bank account after w weeks?

$8 + w$

$\dfrac{8}{w}$

$8w$

$8 - w$

Which equation has a solution of $x = 4$ ?

$9x - 3 = 33$

$3 = 9x + 33$

$9(x-3) = 33$

$3 - 9x = 33$

10.

What is the mean of the following data set?

2,9,8,9,7

11.

Which pair of expressions below are equivalent?

$6(3x) = 9x$

$6x + 7x = 42x$

$9(2x-5) = 11x - 4$

$x + x + x = 3x$

12.

A pouch has 4 marbles in it. The weight, in ounces, of each of the four marbles in the pouch is listed below:

4.5, 5.2, 4.7, 5.4

Which inequality represents the weight, w, of any marble chosen from the pouch?

$w > 5.2$

$w \textless 4.7$

$w > 4.5$

$w \textless 5.5$

13.

What is the range of the data set below?

4, 2, 6, 1, 9, 10

8.5

14.

The weight of an object in Newtons, W, is 9.81 times the mass of the object in kilograms, m. Which equation represents the approximate weight of an object, in terms of the object's mass?

$m = 9.8W$

$W = 9.8m$

$m = 9.81 + W$

$W = 9.81 + m$

15.

Matt bought 8 rare coins for $10.40. At this rate, how much would it cost Matt to buy 12 rare coins?

$58.40

$16.00

$83.20

$15.60

16.

Which expression is represented by the phrase "the square of x decreased by the quotient of 36 and 4"?

$\dfrac{36}{4} - x^2$

$\dfrac{36}{x^2-4}$

$x^2 - \dfrac{36}{4}$

$\dfrac{36}{4-x^2}$

17.

A recipe for pasta calls for 1 bottle of tomato sauce and 3 packets of linguine. How many bottles of tomato sauce need to be used if one has 1 packet of linguine?

$\dfrac{2}{3} bottle$

$\dfrac{3}{1} bottles$

$\dfrac{1}{4} bottle$

$\dfrac{1}{3} bottle$

18.

James earns $55 for delivering pizza for 300 minutes. Given that his hourly rate is the same each hour, how much does James make per hour?

$160

$55

$92

$11

19.

Luke's cat eats 8 ounces of cat food each day. Luke bough a 15 pound bag of cat food. How many 8-ounce servings are in a 15-pound bag of cat food? (Hint: 16oz = 1 lb)

20.

The figure below is an isosceles trapezoid. Find the area of the figure below.

21.

What is the mode of the data set below?

2, 3, 4, 5, 7, 7, 8, 9, 10, 10, 10, 13

22.

Residents of a small city voted whether to allow a fare increase for their public transportation system. The number of votes in favor of the fare-increase was 2,000. The number of votes against the fare increase was 38,000. What percent of the votes were not in favor of the fare increase?

95%

38%

23.

Jewel buys p pounds of bananas for 35 cents per pound. She pays the clerk with a 10-dollar bill. The clerk subtracts the total cost of the bananas from the ten-dollar bill to determine the amount of change to give Jewel. Which expression represents the amount of change Jewel should receive?

$p - 10$

$10 - .35p$

$.35p - 10$

$10 - 35p$

24.

Line AB lies on a coordinate graph. Point A lies at (-2, -2). Point B lies at (12, -2). Find the length of line AB.

25.

Bob's car used 8 gallons of gasoline to travel 240 miles. After a mechanic worked on the car, it used 6 gallons of gasoline to travel 210 miles. If the price of gasoline is $3 per gallon, how much less, to the nearest dollar, does it cost Bob to go on a 315 mile road trip now, as compared to before the mechanic worked on his car?

$4.50

$10