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WorksheetsWeek 42 Direct and Indirect Proportion
Total questions: 40
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
2.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
3.
Is this graph proportional?
a)
Yes
b)
No
4.
If they cost 6 cents each, John has just enough money to buy 40 pencils. With the same money, how many could he buy if they only cost 5 cents each ?
a)
28 pencils
b)
35 pencils
c)
40 pencils
d)
48 pencils
5.
8 people can clean a moat in 8 days. How many days will it take to one person?
a)
8 days
b)
15 days
c)
31 days
d)
64 days
6.
7 people can harvest an orchard in 21 days. How long will it take to 1 person?
a)
14 days
b)
21 days
c)
7 days
d)
147 days
7.
A ship has sufficient food for 3 for 3 weeks. How long will the food last for 1 person?
a)
6 weeks
b)
14 weeks
c)
9 weeks
d)
12 weeks
8.
It took 3 pupils 20 minutes to stock the school library. If 5 pupils had done the job, how much quicker would it have been done ?
a)
8 minutes
b)
12 minutes
c)
13 minutes
d)
5 minutes
9.
12 people can build a wall in 48 days. How many days would it take to 8 people?
a)
27 days
b)
140 days
c)
72 days
d)
90 days
10.
A truck takes 6 hours to complete a journey travelling at an average speed of 70 km/hr. At what speed will the truck have to travel on average if it is to cover the journey in 4 hours ?
a)
105 km/h
b)
120 km/h
c)
90 km/h
d)
250 km/h
11.
Are the triangles similar?
a)
Yes
b)
No
12.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
13.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
14.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
15.
Solve for the missing side:
a)
16
b)
4
c)
24
d)
96
16.
Solve for the missing side:
a)
0.6
b)
3
c)
75
d)
15
17.
Solve for the missing side:
a)
33
b)
125
c)
25
d)
15
18.
Solve for the missing side:
a)
24
b)
4
c)
2.2
d)
36
19.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
20.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
21.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
22.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 is to 7
b)
7 is to 5
c)
5 is to 12
d)
7 is to 12
23.
what is the lowest form of ratio for 84:99
a)
28:33
b)
33:28
c)
9:4
d)
20:3
24.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
25.
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
a)
2:4
b)
2:5
c)
2:11
d)
11:2
26.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
27.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
c)
dont know
d)
none of these
28.
Which of the following is a unit rate?
a)
8 miles every 2 hours
b)
17 miles per hour
c)
74 hotdogs in 10 minutes
d)
7 people have 3 bikes
29.
How can you find a unit rate when give a rate?
a)
cross multiply and divide
b)
divide to find the value of one unit
c)
set up the #won
d)
multiply the denominators
30.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
31.
Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
a)
2.5 calories
b)
575 calories
c)
250 calories
d)
460 calories
32.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
33.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. I made a mistake and I used 5 cups of flour instead. How many cups of milk should I use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
34.
There are 60 cookies and 10 cupcakes leftover at a bake sale. What is the ratio of cupcakes to cookies? Your answer It must be in simplest form.
a)
6 to 1
b)
1:6
c)
30:5
d)
14:56
35.
An eight pack of juice boxes costs $4.81, and a twelve pack of juice boxes cost $6.48. Which is a better buy?
a)
8 pack
b)
12 pack
c)
They have the same unit price
36.
Which of these ratios is equivalent to 3:4?
a)
12:9
b)
9:20
c)
9:12
d)
803:804
37.
How can we write a ratio?
a)
Using the word "to"
b)
Using a colon (:)
c)
As a fraction.
d)
All
38.
190 people fit in 3 buses.
How many buses would you need to carry 570 people?
How many buses would you need to carry 570 people?
a)
570 buses
b)
9 buses
c)
about 63 buses
d)
about 6 buses
39.
a)
1
b)
3
c)
9
d)
8
40.
Is it legal for a man in California to marry his widow's sister?
a)
Yes
b)
No
c)
Maybe
d)
That is not possible!
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