AnswersCommon Core Math 7 A-ICCumulative Exam

Cumulative Exam — Cumulative exam Answers

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For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day?

A
–30 minutes
B
–11 minutes
C
11 minutes
D
30 minutes
2
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What is the value of ?

Question illustration
A
–10
B
–6
C
6
D
10
3

The list below shows all of the possible outcomes for flipping four coins.HHHHHHHTHHTHHHTTHTHHHTHTHTTHHTTTTHHHTHHTTHTHTHTTTTHHTTHTTTTHTTTTWhat is the probability of getting the same number of heads and tails?

A
StartFraction 1 over 8 EndFraction
Option A
B
One-fourth
Option B
C
StartFraction 3 over 8 EndFraction
Option C
D
Three-fourths
Option D
4

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

A
–90
B
–78
C
–66
D
–12
5

What is the product of ?

Question illustration
A
–81
B
–1
C
1
D
81
6

Diego cut 7 smaller boards of equal length from a board that is feet long. How long is each of the 7 smaller boards?

Question illustration
A
Four-thirds
Option A
B
StartFraction 7 over 9 EndFraction
Option B
C
StartFraction 9 over 7 EndFraction
Option C
D
Three-fourths
Option D
7

The diagram represents a triangle that is reduced by a scale factor of 0.4. What is the height of the original triangle?

Question illustration
A
0.8 inches
B
2.4 inches
C
5 inches
D
8 inches
8

Enrique says is a rational number. Which of the following best describes whether Enrique is correct and why?

Question illustration
A
Enrique is correct. Repeating decimals are rational numbers because they can be written as fractions. The number is actually equivalent to .
Option A
B
Enrique is correct. Repeating decimals are rational numbers because they can be written as fractions. The number is actually equivalent to .
Option B
C
Enrique is not correct. Repeating decimals are never rational numbers.
D
Enrique is not correct. Some repeating decimals are rational numbers, but this one is not.
9

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

A
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 52 EndFraction) (StartFraction 11 over 52 EndFraction)
Option A
B
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 51 EndFraction) (StartFraction 11 over 50 EndFraction)
Option B
C
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction)
Option C
D
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 51 EndFraction) (StartFraction 13 over 50 EndFraction)
Option D
10

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

Question illustration
A
StartFraction 1 over 6 EndFraction
Option A
B
One-fifth
Option B
C
One-third
Option C
D
One-half
Option D
11

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.

Question illustration
A
Negative 1 and one-fourth
Option A
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
1 and one-fourth
Option D
12

Samantha created part of a table to show her savings. She saved at the same rate each week.Samantha’s SavingsWeek1234Money Saved $18$24Which graph shows this relationship?

A
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 8), (2, 16), (3, 18), and (4, 24) are plotted.
Option A
B
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 6), (2, 12), (3, 18), and (4, 24) are plotted.
Option B
C
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 9), (2, 18), (3, 18), and (4, 24) are plotted.
Option C
D
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 0), (2, 9), (3, 18), and (4, 24) are plotted.
Option D
13

Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?Secondary-Color Construction Paper10%10%10%10%10%10%10%10%10%10%

A
8
B
10
C
12
D
15
14

What is the value of the expression below?

Question illustration
A
2.5
B
4.875
C
11.375
D
26.4
15

The hexagon below has been reduced by a scale factor of . What is the area of the reduced hexagon?

Question illustration
A
8 inches squared
Option A
B
12 inches squared
Option B
C
24 inches squared
Option C
D
36 inches squared
Option D
16

The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?

A
a coin with one side representing a win and the other representing a loss
B
a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss
C
a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss
D
an 8-sided die with 5 sides representing a win and 3 sides representing a loss
17

Which expression can be used to find 75% of 60?75% of 6025%25%25%25%0.250.250.250.2515151515

A
(0.25) (60)
Option A
B
(0.25) (15)
Option B
C
(3) (15)
Option C
D
(3) (60)
Option D
18

Which of the following values could represent the probabilities of complementary events?

A
and
Option A
B
28% and 82%
C
and
Option C
D
10% and 80%
19

Lenore borrowed $400 to pay for car repairs. She needs to pay it back in 2 years with simple interest. Lenore wants to figure out the interest rate of her loan. What additional information does she need to find the interest rate?

A
principal
B
amount of time
C
interest she will owe
D
the type of car repairs
20

Consider the enlargement of the triangle. Not drawn to scaleRounded to the nearest tenth, what is the value of x?

Question illustration
A
15.8 feet
B
19.1 feet
C
23.3 feet
D
32.6 feet

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