Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Grade 7
Compare ratios: word problems
In a class test consisting of
10
10
10
questions,
5
5
5
marks are awarded for every correct answer,
2
2
2
marks are deducted for every incorrect answer and no marks are given for questions not attempted. Mohan gets four correct and six incorrect answers. What is his total score?
Get tutor help
Venkat reached the station half an hour before the scheduled arrival of the train, the train was later by
1
:
30
1:30
1
:
30
hr and arrived at
6
:
20
6:20
6
:
20
hr. At what time venkat did reach the station ?
Get tutor help
In basketball, the number of points you score is given by
3
x
+
2
y
+
z
3x+2y+z
3
x
+
2
y
+
z
where
x
x
x
is three-pointers,
y
y
y
is two-pointers, and
z
z
z
is free throws (one-pointers). What is the total number of points scored by a player who makes
3
3
3
three-pointers,
5
5
5
two-pointers, and
6
6
6
free throws?
\newline
◻
Get tutor help
4
4
4
. Sophie has
60
60
60
pencils.
\newline
The ratio of sharpened pencils to blunt pencils is
4
:
1
4: 1
4
:
1
\newline
How many sharpened pencils does Sophie have?
Get tutor help
The percentage of children living in single-parent households in America's five most populated cities is as follows: Philadelphia
40.4
%
40.4\%
40.4%
, New York,
30.5
%
30.5\%
30.5%
, Chicago
32.2
%
32.2\%
32.2%
, Houston
26
%
26\%
26%
, and Los Angeles
25.8
%
25.8\%
25.8%
. Taylor decides to display this data with a pie chart. Is this an appropriate choice? If no, what would be a better type of chart?
Get tutor help
There is a circular path around a sports field. Sonia takes
18
18
18
minutes to drive one round of the field, while Ravi takes
12
12
12
minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Get tutor help
4
4
4
\newline
Directions: Select all the correct locations on the number line.
\newline
The temperature in degrees Celsius is
273
273
273
.
15
15
15
less than the temperature in kelvin. Andrew is conducting a science experiment where the temperature must be kept between
13.
5
∘
C
13.5^{\circ} \mathrm{C}
13.
5
∘
C
and
18.
5
∘
C
18.5^{\circ} \mathrm{C}
18.
5
∘
C
. Andrew wants to know the range of the temperature in kelvin.
\newline
Select all of the whole number temperatures, in kelvin, at which Andrew can conduct his experiment.
Get tutor help
Albert is going to hire a makeup artist for a fashion show and is comparing prices. Bonnie charges
$
20
\$ 20
$20
as a booking fee and an additional
$
40
\$ 40
$40
per hour. Linda charges
$
45
\$ 45
$45
per hour, plus a booking fee of
$
10
\$ 10
$10
. Depending on the length of the show, the cost could end up being the same for either artist. How long would the show be?
Get tutor help
In art class students are mixing black and white paint to make gray paint. Xochitl mixes
1
1
1
cup of black paint and
3
3
3
cups of white paint. Dominic mixes
4
4
4
cups of black paint and
3
3
3
cups of white paint. Whose gray paint will be lighter?
\newline
Xochitl's gray paint will be lighter.
\newline
Dominic's gray paint will be lighter.
\newline
The two gray paints will be equally light.
Get tutor help
Kevin and Bao are making fruit salads for a picnic. Kevin mixes
3
3
3
cups of melon and
8
8
8
cups of apple and Bao mixes
1
1
1
cup of melon and
8
8
8
cups of apple. Whose fruit salad will taste more appley?
\newline
Kevin's fruit salad will be more appley.
\newline
Bao's fruit salad will be more appley.
\newline
The two fruit salads will be equally appley.
Get tutor help
In art class students are mixing blue and red paint to make purple paint. Gavin mixes
1
1
1
cup of blue paint and
2
2
2
cups of red paint. Zoey mixes
1
1
1
cup of blue paint and
5
5
5
cups of red paint. Whose purple paint will be redder?
\newline
Gavin's purple paint will be redder.
\newline
Zoey's purple paint will be redder.
\newline
The two purple paints will be equally red.
Get tutor help
In art class students are mixing blue and red paint to make purple paint. Brooklyn mixes
6
6
6
cups of blue paint and
5
5
5
cups of red paint. Jose mixes
6
6
6
cups of blue paint and
1
1
1
cup of red paint. Whose purple paint will be redder?
\newline
Brooklyn's purple paint will be redder.
\newline
Jose's purple paint will be redder.
\newline
The two purple paints will be equally red.
Get tutor help
In art class students are mixing black and white paint to make gray paint. Layla mixes
2
2
2
cups of black paint and
3
3
3
cups of white paint. Kiran mixes
4
4
4
cups of black paint and
3
3
3
cups of white paint. Whose gray paint will be lighter?
\newline
Layla's gray paint will be lighter.
\newline
Kiran's gray paint will be lighter.
\newline
The two gray paints will be equally light.
Get tutor help
Carlos and Alexandra are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Carlos mixes
4
4
4
cups of dough with
5
5
5
quarter-cups of chocolate chips and Alexandra mixes
4
4
4
cups of dough with
1
1
1
quarter-cup of chocolate chips. Whose cookies will be doughier?
\newline
Carlos's cookies will be doughier.
\newline
Alexandra's cookies will be doughier.
\newline
The two sets of cookies will be equally doughy.
Get tutor help
Students are making lemonade from a powdered lemon drink mix. Aaron mixes
5
5
5
cups of water and
3
3
3
teaspoons of powdered lemon mix. Idil mixes
5
5
5
cups of water and
4
4
4
teaspoons of powdered lemon mix. Whose mix will be more watery?
\newline
Aaron's mix will be more watery.
\newline
Idil's mix will be more watery.
\newline
The two mixes will be equally watery.
Get tutor help
There are
9
9
9
athletes at a track meet. How many different ways can they finish first, second, and third?
\newline
Answer:
Get tutor help
Jude factored
\newline
28
x
2
28x^{2}
28
x
2
as
\newline
(
14
x
)
(
2
x
2
)
.
(14x)(2x^{2}).
(
14
x
)
(
2
x
2
)
.
\newline
Yasmin factored
\newline
28
x
2
28x^{2}
28
x
2
as
\newline
(
7
x
)
(
4
x
)
.
(7x)(4x).
(
7
x
)
(
4
x
)
.
\newline
Which of them factored
\newline
28
x
2
28x^{2}
28
x
2
correctly?
\newline
Choose
1
1
1
answer:
\newline
(A) Only Jude
\newline
(B) Only Yasmin
\newline
(C) Both Jude and Yasmin
\newline
(D) Neither Jude nor Yasmin
Get tutor help
two sisters have bought
2
2
2
quarter pizzas, like the one shown in the diagram. Their brother arrives unexpectedly for dinner. The easiest way to divide the
2
2
2
quater pizzas equally in three is to cut each pizza twice.is that correct?
Get tutor help
Rose has a playlist with
40
40
40
rock songs and
28
28
28
country songs. What is the ratio of country songs to rock songs on the playlist?
Get tutor help
in the west region of the us, the ratio of densely vegetated land to sparsely vegetated land is
11
:
18
11:18
11
:
18
in the central region of the us, the ratio is
3
:
1
3:1
3
:
1
what is the difference in percentage of densely vegetated land from the west region to the central region?
Get tutor help
